Statistics and probability

Mean, median and mode, probability, predicting counts from a probability, and the counting principle.

7 sheets · 70 questions · one answer key · 9 pages

Recommended for grades 5–7

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Mean Sheet 1 of 7

MeanNumbers to 50

Name: Date:

Find the mean of each set of numbers.

Mean30, 28, 11, 5, 11

Mean50, 32, 26, 32, 40

Mean16, 48, 1, 19, 1

Mean16, 25, 25, 50, 9

Mean49, 18, 6, 31, 31

Mean20, 21, 21, 5, 8

Mean27, 35, 27, 50, 21

Mean26, 38, 19, 19, 13

Mean21, 21, 7, 10, 26

Mean10, 28, 10, 6, 31

MedianNumbers to 50

Name: Date:

Find the median of each set of numbers.

Median32, 5, 5, 38, 25

Median36, 32, 42, 28, 32

Median29, 39, 1, 10, 1

Median48, 44, 34, 48, 21

Median43, 32, 10, 43, 7

Median36, 14, 41, 14, 25

Median42, 24, 6, 34, 24

Median45, 13, 45, 20, 27

Median24, 33, 26, 24, 28

Median31, 38, 22, 7, 7

ModeNumbers to 50

Name: Date:

Find the mode of each set of numbers.

Mode43, 24, 17, 43, 28

Mode23, 27, 1, 8, 1

Mode35, 38, 38, 30, 44

Mode6, 6, 22, 12, 39

Mode19, 39, 37, 26, 39

Mode44, 44, 4, 50, 48

Mode29, 6, 48, 48, 14

Mode5, 33, 2, 5, 45

Mode22, 1, 22, 40, 10

Mode14, 26, 40, 26, 19

RangeNumbers to 50

Name: Date:

Find the range of each set of numbers.

Range16, 26, 28, 17, 28

Range2, 1, 9, 1, 27

Range32, 46, 46, 14, 37

Range48, 45, 33, 33, 11

Range22, 17, 22, 12, 7

Range3, 28, 3, 22, 49

Range6, 22, 42, 22, 23

Range43, 13, 12, 43, 24

Range6, 24, 14, 14, 47

Range18, 19, 18, 34, 11

Probability12 counters

Name: Date:

Each bag holds these counters. Simplest form, and watch for NOT.

2 red, 3 blue, 7 greenP(not blue)

3 red, 2 blue, 7 greenP(not blue)

3 red, 9 blueP(red)

4 red, 4 blue, 4 greenP(blue)

3 red, 5 blue, 4 greenP(green)

10 red, 2 blueP(red)

4 red, 4 blue, 4 greenP(not green)

4 red, 5 blue, 3 greenP(green)

2 red, 2 blue, 8 greenP(not green)

5 red, 4 blue, 3 greenP(not green)

Predict counts from probabilityProbability as a fraction

Name: Date:

Predict how many times each event happens.

P(red) = 17/20. In 80 spins, how many land on red?

P(a win) = 1/2. In 300 games, how many are wins?

P(a win) = 6/25. In 200 games, how many are wins?

P(heads) = 1/4. In 60 flips, how many are heads?

P(blue) = 8/10. In 80 draws, how many are blue?

P(heads) = 3/4. In 100 flips, how many are heads?

P(red) = 1/2. In 50 spins, how many land on red?

P(a win) = 17/20. In 20 games, how many are wins?

P(blue) = 1/4. In 100 draws, how many are blue?

P(a win) = 23/25. In 300 games, how many are wins?

The counting principleTwo stages

Name: Date:

Work out how many ways each choice can be made.

6 flavors and 2 cones. How many different ice creams can you make?

4 flavors and 2 cones. How many different ice creams can you make?

5 frames and 7 wheels. How many different bikes can you make?

5 frames and 3 wheels. How many different bikes can you make?

9 shirts and 6 shorts. How many different outfits can you make?

8 frames and 9 wheels. How many different bikes can you make?

8 mains and 6 sides. How many different meals can you make?

2 frames and 7 wheels. How many different bikes can you make?

8 flavors and 3 cones. How many different ice creams can you make?

9 flavors and 4 cones. How many different ice creams can you make?

Power Pack · Statistics and probabilityAnswer key

Mean

1. Mean of 30, 28, 11, 5, 11 = 172. Mean of 50, 32, 26, 32, 40 = 363. Mean of 16, 48, 1, 19, 1 = 174. Mean of 16, 25, 25, 50, 9 = 255. Mean of 49, 18, 6, 31, 31 = 276. Mean of 20, 21, 21, 5, 8 = 157. Mean of 27, 35, 27, 50, 21 = 328. Mean of 26, 38, 19, 19, 13 = 239. Mean of 21, 21, 7, 10, 26 = 1710. Mean of 10, 28, 10, 6, 31 = 17

Median

1. Median of 32, 5, 5, 38, 25 = 252. Median of 36, 32, 42, 28, 32 = 323. Median of 29, 39, 1, 10, 1 = 104. Median of 48, 44, 34, 48, 21 = 445. Median of 43, 32, 10, 43, 7 = 326. Median of 36, 14, 41, 14, 25 = 257. Median of 42, 24, 6, 34, 24 = 248. Median of 45, 13, 45, 20, 27 = 279. Median of 24, 33, 26, 24, 28 = 2610. Median of 31, 38, 22, 7, 7 = 22

Mode

1. Mode of 43, 24, 17, 43, 28 = 432. Mode of 23, 27, 1, 8, 1 = 13. Mode of 35, 38, 38, 30, 44 = 384. Mode of 6, 6, 22, 12, 39 = 65. Mode of 19, 39, 37, 26, 39 = 396. Mode of 44, 44, 4, 50, 48 = 447. Mode of 29, 6, 48, 48, 14 = 488. Mode of 5, 33, 2, 5, 45 = 59. Mode of 22, 1, 22, 40, 10 = 2210. Mode of 14, 26, 40, 26, 19 = 26

Range

1. Range of 16, 26, 28, 17, 28 = 122. Range of 2, 1, 9, 1, 27 = 263. Range of 32, 46, 46, 14, 37 = 324. Range of 48, 45, 33, 33, 11 = 375. Range of 22, 17, 22, 12, 7 = 156. Range of 3, 28, 3, 22, 49 = 467. Range of 6, 22, 42, 22, 23 = 368. Range of 43, 13, 12, 43, 24 = 319. Range of 6, 24, 14, 14, 47 = 4110. Range of 18, 19, 18, 34, 11 = 23

Power Pack · Statistics and probabilityAnswer key

Probability

1. 2 red, 3 blue, 7 green → P(not blue) = 3/42. 3 red, 2 blue, 7 green → P(not blue) = 5/63. 3 red, 9 blue → P(red) = 1/44. 4 red, 4 blue, 4 green → P(blue) = 1/35. 3 red, 5 blue, 4 green → P(green) = 1/36. 10 red, 2 blue → P(red) = 5/67. 4 red, 4 blue, 4 green → P(not green) = 2/38. 4 red, 5 blue, 3 green → P(green) = 1/49. 2 red, 2 blue, 8 green → P(not green) = 1/310. 5 red, 4 blue, 3 green → P(not green) = 3/4

Predict counts

1. P(red) = 17/20. In 80 spins, how many land on red? → 682. P(a win) = 1/2. In 300 games, how many are wins? → 1503. P(a win) = 6/25. In 200 games, how many are wins? → 484. P(heads) = 1/4. In 60 flips, how many are heads? → 155. P(blue) = 8/10. In 80 draws, how many are blue? → 646. P(heads) = 3/4. In 100 flips, how many are heads? → 757. P(red) = 1/2. In 50 spins, how many land on red? → 258. P(a win) = 17/20. In 20 games, how many are wins? → 179. P(blue) = 1/4. In 100 draws, how many are blue? → 2510. P(a win) = 23/25. In 300 games, how many are wins? → 276

Counting

1. 6 flavors and 2 cones. How many different ice creams can you make? → 122. 4 flavors and 2 cones. How many different ice creams can you make? → 83. 5 frames and 7 wheels. How many different bikes can you make? → 354. 5 frames and 3 wheels. How many different bikes can you make? → 155. 9 shirts and 6 shorts. How many different outfits can you make? → 546. 8 frames and 9 wheels. How many different bikes can you make? → 727. 8 mains and 6 sides. How many different meals can you make? → 488. 2 frames and 7 wheels. How many different bikes can you make? → 149. 8 flavors and 3 cones. How many different ice creams can you make? → 2410. 9 flavors and 4 cones. How many different ice creams can you make? → 36

Statistics and probability

What is in the pack

The data track

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