You are a successful private detective.
You have been hiredto investigate an old housewhere there are strange noises.
At each stage of your investigationyou will need to answer a question.
Whether you get the answer correctwill determine what happens to you.
Beware, if you get too many questions wrongyour story will not end well!
To begin your investigation press the button
To start press the button
The strange noiseshave always been heard at nightso you decide this is the best timeto visit the house to investigate.
You drive up to the gateand get out of the car.
As you walk towards the house you notice that there is a full moonand hope that this is not a bad omen.
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You think that it is probably saferto look for a side entrance.
You begin to walk carefullyaround the side of the houselooking for another way in.
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You find the old servant’s entranceat the side of the house.It is overgrownand looks like it hasn’t been used for years.
You try the handle and it turns,the door creaks openand you enter into the kitchen.
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You walk through the kitchenand into the hallway.
Suddenly there is a loud clatter above.
Startled, you look upand a colony of bats fly past your face.
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You walk over to the dooron the other side of the kitchen.
As you reach for the handle youhear a spine-tingling screamfrom the other side of the door.
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Question 5 a
The number of people in each house on a street is given below.
Calculate the mean number of people in a house.
10.6 2.6 2.7 4
Number of people Frequency0 21 52 73 64 45 36 1
Correct answer
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Wrong answer
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In the centre of one wallis a large fireplace.You walk over to it and examine the intricate carving.
One of the panels is loose.As you press it a secret door opensin the back of the fireplace.
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Question 5 b
The number of A’s that a class got on a report is given below.
Calculate the mean number of A’s.
2.7 2.9 11.3 4.1
Number of A’s Number of children0 51 62 43 44 25 36 5
Correct answer
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Wrong answer
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Against your better judgementyou open the door and walk into the hallway.
You see a man crouched over.Before your eyes he changes into a wolf.
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Question 5 c
The number of brothers and sisters that a class have is given below.
Calculate the mean number of brothers and sisters.
8.3 4.8 1.9 1.7
Number ofbrothers and sisters Frequency
0 61 82 73 54 25 1
Correct answer
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Wrong answer
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Then you hear a piercing howl.
The kitchen door burst open,knocking you backwards.
There in front of you is a wolfas tall as you are.
Before you can react, it attacks you!
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A women pushes up through the soiland climbs out of the grave.
You turn and run awayas quickly as your legs can carry you.
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Question 5 d
The number of goals scored by a football team over a seasonis given below.
Calculate the mean number of goals scored.
3.2 5 1.6 1.9
Number of goals Number of matches0 61 42 53 14 25 1
Correct answer
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Wrong answer
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A women pushes up through the soiland climbs out of the grave.
You are so shockedyou cannot move.
She grabs at youand opening her mouthbegins to eat at your flesh!
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You look aroundand see a small chamberto your side.
You quickly hide inside.
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Question 5 e
The number of pets that a group of children have is given below.
Calculate the mean number of pets.
3.9 7.4 2.1 1.9
Number of pets Frequency0 61 72 53 54 15 26 1
Correct answer
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Wrong answer
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You hear a faint noise behind.
You turn aroundand see a man stood in front of you.
His face seems too smooth and white.The sharp fangs convince you of what he is.
Before you can react, he attacks.You become food for the immortal undead!
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6
You creep upstairstrying not to make any noise.
You are halfway upwhen a ghost appears at the top of the stairs.
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Question 6 a
The number of people in each house on a street is given below
Find the median number of people in a house.
14.5 2.5 2 and 3 2
Number of people Frequency0 21 52 73 64 45 36 1
Correct answer
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Wrong answer
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You creep upstairstrying not to make any noise.
On the landing at the top of the stairsyou see a painting of a young womanhanging on the wall.
You are sure you see the eyesin the painting move.
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Question 6 b
The number of people in each house on a street is given below.
Find the median number of people in a house.
Number of people Frequency0 21 52 73 64 45 36 1
14.5 2.5 2 and 3 2
Correct answer
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Wrong answer
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You step into the room beyond.
Inside the rooma group of women dressed like witchesstand around in a circle.
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Question 6 c
The number of A’s that a class got on a report is given below.
Find the median number of A’s.
3 15 2 1
Number of A’s Number of children0 51 62 43 44 25 36 5
Correct answer
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Wrong answer
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You step forward to look inside.
The floor beneath your feet crumblesand you fall forward.
You land with a bump.
You look around and can seethat you are trappedat the bottom of a deep pit!
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You can’t believe what you saw.
This only happens in horror stories,not in real life,but there where a few minutes agothere was a man is now a huge wolf.
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Question 6 d
The number of brothers and sisters that a class have is given below.
Find the median number of brothers and sisters.
2 15 2.5 1
Number ofbrothers and sisters Frequency
0 61 82 73 54 25 1
Correct answer
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Wrong answer
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The wolf lunges at youand sinks it’s teeth into your arm.
You pull awayand run back through the door,closing it in the approaching wolf’s face.
You run outside and get back to your car.
You have escaped,but you have been bitten.What will happen to youon the next full moon!
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You see others starting to come upout of the graves all around you.
You continue running.
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Question 6 e
The number of goals scored by a football team over a seasonis given below.
Find the median number of goals scored.
10 1 0 2.5
Number of goals Number of matches0 61 42 53 14 25 1
Correct answer
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Wrong answer
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You see others starting to come upout of the graves all around you.
You see an old stone tomb nearby.You run towards it.There is a big rusty latch on the door.With a hard shoveyou lift the latch and go inside.
As you pull the door closedyou hear the latch drop.You are now trapped inside the tomb!
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A man enters the room.
His face seems too smooth and white.The sharp fangs convince you of what he is.
He walks slowly overto where you are hidingand greets you.
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Question 6 f
The number of pets that a group of children have is given below.
Find the median number of pets.
3 14 2 1
Number of pets Frequency0 61 72 53 54 15 26 1
Correct answer
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Wrong answer
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A man enters the room.
His face seems too smooth and white.The sharp fangs convince you of what he is.
He says that you are unfortunateto have wondered into his home.
He tells you that he has been lookingfor a companionto travel the eternal journey with him.
You will be his companion in eternity!
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7
The ghost begins circling around youas if examining you.
You do not know what to do.
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Question 7 a
The heights of a group of children are given below.
Calculate an estimate of the mean height of the children.
136.4 cm 145 cm 707 cm 141.4 cm
Height, h (cm) Frequency120 ≤ h < 130 7130 ≤ h < 140 6140 ≤ h < 150 4150 ≤ h < 160 5160 ≤ h < 170 3
Correct answer
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Wrong answer
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The ghost flies directly at you.
You step back and fall down the stairs,landing at the bottom with a crash.
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Question 7 b
The speed of vehicles on a motorway is given below.
Calculate an estimate of the mean speed of the vehicles.
375 mph 69.4 mph64.4 mph75 mph
Speed, s (mph) Number of vehicles50 ≤ s < 60 560 ≤ s < 70 970 ≤ s < 80 1080 ≤ s < 90 290 ≤ s < 100 1
Correct answer
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Wrong answer
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You lift the painting off the wall.
There is a hole in the wall behind the paintingand through the hole you can see a room.
The room is dark,but you can faintly see two small figures moving.
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Question 7 c
The time that people waited in a doctor’s surgery are given below.
Calculate an estimate of the mean waiting time.
83 mins. 25 mins. 16.6 mins. 11.6 mins.
Time, t (mins.) Number of people0 ≤ t < 10 910 ≤ t < 20 720 ≤ t < 30 630 ≤ t < 40 240 ≤ t < 50 1
Correct answer
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Wrong answer
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You lift the paintingto see what is behind it.
As you do so,a trapdoor opens up below youand you fall downwards.
You land with a heavy bump.
You look aroundand see that you are trapped in a dungeon cell!
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One of the witches raises her handsand a huge fire eruptsin the middle of the circle of witches.
A strong wind rushes around the roomand candles ignite all over the room.
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Question 7 d
The distance that a group of children travel to school is given below.
Calculate an estimate of the mean distance.
3.4 km 2.4 km 18.6 km 5 km
Distance, d (km) Number of children0 ≤ d < 2 102 ≤ d < 4 84 ≤ d < 6 46 ≤ d < 8 3
8 ≤ d < 10 2
Correct answer
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Wrong answer
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One of the witches turns and looks at you.
She points her long bony finger at youand you turn into a toad!
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The wolf sees you.
It sniffs the airand lets out a low rumbling growl.
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Question 7 e
The speed of vehicles on a motorway is given below.
Calculate an estimate of the mean speed of the vehicles.
64.4 mph 69.4 mph 375 mph 75 mph
Speed, s (mph) Number of vehicles50 ≤ s < 60 560 ≤ s < 70 970 ≤ s < 80 1080 ≤ s < 90 290 ≤ s < 100 1
Correct answer
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Wrong answer
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The wolf lunges at youand sinks it’s teeth into your arm.
You pull awayand run back through the door,closing it in the approaching wolf’s face.
You run outside and get back to your car.
You have escaped,but you have been bitten.What will happen to youon the next full moon!
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You manage to outrun them alland see the gate of the cemetery.
You run towards it.
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Question 7 f
The time that people waited in a doctor’s surgery are given below.
Calculate an estimate of the mean waiting time.
83 mins. 25 mins. 16.6 mins. 11.6 mins.
Time, t (mins.) Number of people0 ≤ t < 10 910 ≤ t < 20 720 ≤ t < 30 630 ≤ t < 40 240 ≤ t < 50 1
Correct answer
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Wrong answer
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They are all around you.
You see an old stone tomb nearby.You run towards it.There is a big rusty latch on the door.With a hard shoveyou lift the latch and go inside.
As you pull the door closedyou hear the latch drop.You are now trapped inside the tomb!
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He can see that you are terrified.
He tells you that you are safeas he has already eaten tonight.
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Question 7 g
The distance that a group of children travel to school is given below.
Calculate an estimate of the mean distance.
18.6 km 5 km 2.4 km 3.4 km
Distance, d (km) Number of children0 ≤ d < 2 102 ≤ d < 4 84 ≤ d < 6 46 ≤ d < 8 3
8 ≤ d < 10 2
Correct answer
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Wrong answer
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He says that you are unfortunateto have wondered into his home.
He tells you that he has been lookingfor a companion o travel the eternal journey with him.
You will be his companion in eternity!
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8
Then you remember your camera.You take it outand begin taking pictures of the ghost.
You check the camera’s displayto make sure that it is capturing the image.The picture is perfect.
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Question 8 a
The heights of a group of children are given below.
Find the class interval that contains the median height.
130 ≤ h < 140 cm 135 cm 140 ≤ h < 150 cm 120 ≤ h < 130 cm
Height, h (cm) Frequency120 ≤ h < 130 7130 ≤ h < 140 6140 ≤ h < 150 4150 ≤ h < 160 5160 ≤ h < 170 3
Correct answer
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Wrong answer
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The whole house begins to shake.
The walls crack and the floorboards creak.
Large pieces of plaster fallfrom the ceiling and walls.
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Question 8 b
The heights of a group of children are given below.
Find the class interval that contains the median height.
135 cm 130 ≤ h < 140 cm 140 ≤ h < 150 cm 120 ≤ h < 130 cm
Height, h (cm) Frequency120 ≤ h < 130 7130 ≤ h < 140 6140 ≤ h < 150 4150 ≤ h < 160 5160 ≤ h < 170 3
Correct answer
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Wrong answer
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The ghost floats down the stairsand stops above you.
It looks at you as if it is examining you.
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Question 8 c
The speed of vehicles on a motorway is given below.
Find the class interval that contains the median speed.
50 ≤ s < 60 mph 70 ≤ s < 80 mph 60 ≤ s < 70 mph 65 mph
Speed, s (mph) Number of vehicles50 ≤ s < 60 560 ≤ s < 70 970 ≤ s < 80 1080 ≤ s < 90 290 ≤ s < 100 1
Correct answer
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Wrong answer
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Paintings fly off the wallsand ornaments fly off the shelvesand shoot towards you.
You turn and run out through the front door.
You do not stop runninguntil you get to your car.
With your hands shakingyou manage to start the car and drive off.
You have had enough of this adventure!
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As you look more closelyyou see that they are small hideous creatures.
They turn and look at you.They have big eyes and pointed teeth.
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Question 8 d
The time that people waited in a doctor’s surgery are given below.
Find the class interval that contains the median waiting time.
10 ≤ t < 20 mins. 15 mins. 20 ≤ t < 30 mins. 0 ≤ t < 10 mins.
Time, t (mins.) Number of people0 ≤ t < 10 910 ≤ t < 20 720 ≤ t < 30 630 ≤ t < 40 240 ≤ t < 50 1
Correct answer
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Wrong answer
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As you look more closelyyou see that they are small hideous creatures.
They turn and look at you.They have big eyes and pointed teeth.
They rush towards you.
You turn and run down the stairsand out through the front door.
You do not wish to find out what they are!
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Another of the witches turns to you.
She asks who you areand what you are doing in their house.
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Question 8 e
The distance that a group of children travel to school is given below.
Find the class interval that contains the median distance.
0 ≤ d < 2 km 2 ≤ d < 4 km 3 km 4 ≤ d < 6 km
Distance, d (km) Number of children0 ≤ d < 2 102 ≤ d < 4 84 ≤ d < 6 46 ≤ d < 8 3
8 ≤ d < 10 2
Correct answer
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Wrong answer
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The witch turns towards youand points a long bony finger at you.
A ball of fire flies directly towards you.
You jump out of the wayand the door frame burst into flames.
You turn and run down the stairsand out through the front door.
You have had enough excitement for one night!
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The wolf walks slowly towards you,its massive jaws open in a snarl.
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Question 8 f
The speed of vehicles on a motorway is given below.
Find the class interval that contains the median speed.
50 ≤ s < 60 mph 70 ≤ s < 80 mph 60 ≤ s < 70 mph 65 mph
Speed, s (mph) Number of vehicles50 ≤ s < 60 560 ≤ s < 70 970 ≤ s < 80 1080 ≤ s < 90 290 ≤ s < 100 1
Correct answer
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Wrong answer
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You turn and run back through the doorinto the kitchen.
You hear the wolf coming after you.
You slam the doorin the approaching wolf’s faceand run outside.
You do not stop runninguntil you get back to your car.
You decide to quit this investigation!
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Suddenly one of them jumps outin front of you.
You pick up a piece of woodlying on the groundand hit it across the head.
It’s head comes offand it collapses on the ground.
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Question 8 g
The time that people waited in a doctor’s surgery are given below.
Find the class interval that contains the median waiting time.
10 ≤ t < 20 mins. 15 mins.20 ≤ t < 30 mins. 0 ≤ t < 10 mins.
Time, t (mins.) Number of people0 ≤ t < 10 910 ≤ t < 20 720 ≤ t < 30 630 ≤ t < 40 240 ≤ t < 50 1
Correct answer
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Wrong answer
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You run through the gateand out into the brightly lit street.
You look behindto see that none have followed you.
You have had enough for one night,it’s time to go home.
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You tell him that you haveso many questions.
You sit down on a chair and talk for hours,his tales are enchanting.
Late into the nightyou ask what is going to happen to younow that you know of his existence.
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Question 8 h
The distance that a group of children travel to school is given below.
Find the class interval that contains the median distance.
0 ≤ d < 2 km2 ≤ d < 4 km 3 km 4 ≤ d < 6 km
Distance, d (km) Number of children0 ≤ d < 2 102 ≤ d < 4 84 ≤ d < 6 46 ≤ d < 8 3
8 ≤ d < 10 2
Correct answer
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Wrong answer
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He tells you that he never staysin one place for long.
By tomorrow he will be goneand so it is safe for him to let you go.
You bid goodbye and leave.
What an adventure you have had!
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Complete endings
You leave the houseand return to your car.
With the first conclusive proof that ghosts exist you become a sensation.
You write a book about your adventureand include lots of pictures from the evening.
The book becomes a best-sellerand you make a fortune.
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Suddenly the ghost disappears.
You walk back to your carlooking through the picturesthat you have taken.
Another successful investigation.
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Quickly you take out your cameraand take pictures of the ghost.
You check the camera’s displayto make sure that it is capturing the image.The picture is perfect.
You decide that it is best to leave.
You walk back to your carpleased with yourself.
Another successful investigation.
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You decide it is best to get outbefore the house collapses around you.
You run out through the front doorand back to your car.
You have had enough excitementfor one night.
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Then you remember your camera.You take it outand begin taking pictures of the ghost.
You check the camera’s displayto make sure that it is capturing the image.The picture is perfect.
You leave and walk back to your carpleased with yourself.
Another successful investigation.
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The ghost begins flying towards youas if trying to attack you.
You don’t knowwhether it is able to harm you,but you decide it is best to leave anyway.
You go out through the front doorand back to your car.
You have had enough excitementfor one night.
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The creatures run towards youand begin to attack.
You knock one to the groundand quickly overpower the other.
You see some rope nearbyand tie them both up.
Another successful investigation.
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The creatures run towards you.
You turn and run down the stairsand out through the front door.
You do not wish to find out what they are!
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You explain why you are thereand then tell themthat you are impressed with their skills.
They show you how to dosome magic yourself.
You thank them and leave.
Not only have you solved the mystery,but you have learned some interesting tricks too.
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You explain why you are there.
She says that nobody can know about themand then she points a long bony finger at you.
A ball of fire flies directly towards you.
You jump out of the wayand the door frame burst into flames.
You turn and run down the stairsand out through the front doorand do not stop running until you get to your car.
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You see a thick chain lying on the floor.
As the wolf lunges at you,you step asideand wrap the chain around its neck.
You fasten the chainto a large heavy radiator on the walland stand clear of the animal.
You have captured a werewolf.You will be famous!
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You turn and run back through the doorinto the kitchen.
You hear the wolf coming after you.
You slam the doorin the approaching wolf’s faceand run outside.
You do not stop runninguntil you get back to your car.
Lucky escape!
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You turn back towards the others.
One by one you kill them allthe same way.
Exhausted you return to your car,congratulating yourself onanother good job.
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You run through the gateand out into the brightly lit street.
You look behindto see that none have followed you.
You have had enough for one night,it’s time to go home.
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He says that unfortunately you cannot leavenow that you know he is there.
You pick up your chair,break off the chair legand plunge it into his chest,hoping that this works like in the films.
He gasps and then turns into dust.
What an adventure.
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He tells you that he never staysin one place for long.
By tomorrow he will be goneand so it is safe for him to let you go.
You bid goodbye and leave.
What an adventure you have had!
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You need help with 2 – median (odd number of data)
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You can do 1 – mean3 – median (even number of data)4 – mode5, 6 – mean and median from an ungrouped table7 – mean from a grouped frequency table
You need help with 2 – median (odd number of data)8 – median from a grouped frequency table
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You can do 2, 3 – median4 – mode5, 6, 7, 8 – mean and median from frequency tables
You need help with 1 – mean
Press the button
You can do 2, 3 – median4 – mode5, 6 – mean and median from an ungrouped table7 – mean from a grouped frequency table
You need help with 1 – mean8 – median from a grouped frequency table
Press the button
