Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in kg , is recorded. The masses are shown below: Ricky 0 . 145 0 . 182 0 . 135 0 . 132 0 . 112 0 . 155 0 . 189 0 . 132 0 . 145 0 . 201 0 . 139 Oliver 0 . 131 0 . 143 0 . 134 0 . 145 0 . 132 0 . 123 0 . 182 0 . 134 0 . 128 For each boy calculate the mean mass of berries collected per box. (Take all answers correct up to hundredth place)

Given: Ricky 0 . 145 0 . 182 0 . 135 0 . 132 0 . 112 0 . 155 0 . 189 0 . 132 0 . 145 0 . 201 0 . 139 Oliver 0 . 131 0 . 143 0 . 134 0 . 145 0 . 132 0 . 123 0 . 182 0 . 134 0 . 128 We know that, Mean = Total of all data number of values For Ricky: Mean = 0 . 145 + 0 . 182 + 0 . 135 + 0 . 132 + 0 . 112 + 0 . 155 + 0 . 189 + 0 . 132 + 0 . 145 + 0 . 201 + 0 . 139 11 = 1 . 667 11 ≈ 0 . 15 For Oliver: Mean = 0 . 131 + 0 . 143 + 0 . 134 + 0 . 145 + 0 . 132 + 0 . 123 + 0 . 182 + 0 . 134 + 0 . 128 9 = 1 . 252 9 ≈ 0 . 14

Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in kg , is recorded. The masses are shown below: Ricky 0 . 145 0 . 182 0 . 135 0 . 132 0 . 112 0 . 155 0 . 189 0 . 132 0 . 145 0 . 201 0 . 139 Oliver 0 . 131 0 . 143 0 . 134 0 . 145 0 . 132 0 . 123 0 . 182 0 . 134 0 . 128 For each boy calculate the range of masses. (Take all answers correct up to hundredth place)

Given: Ricky 0 . 145 0 . 182 0 . 135 0 . 132 0 . 112 0 . 155 0 . 189 0 . 132 0 . 145 0 . 201 0 . 139 Oliver 0 . 131 0 . 143 0 . 134 0 . 145 0 . 132 0 . 123 0 . 182 0 . 134 0 . 128 We know that, Range = Largest value - smallest value For Ricky: The largest value = 0 . 201 The smallest value = 0 . 112 Range = 0 . 201 - 0 . 112 = 0 . 089 For Oliver: The largest value = 0 . 182 The smallest value = 0 . 123 Range = 0 . 182 - 0 . 123

The marks obtained by two classes in a Mathematics test are shown below. The marks are out of 20 . Class Archimedes 12 13 4 19 20 12 13 13 16 18 12 Class Bernoulli 13 6 9 15 20 20 13 15 17 19 3 Calculate the median score for each class.

Given: Class Archimedes 12 13 4 19 20 12 13 13 16 18 12 Class Bernoulli 13 6 9 15 20 20 13 15 17 19 3 Here, number of observations n = 11 We know that, when n is odd, Median = n + 1 2 t h observation For Archimedes: Ascending order of data, 4 , 12 , 12 , 12 , 13 , 13 , 13 , 16 , 18 , 19 , 20 ∴ Median = 11 + 1 2 = 12 2 = 6 t h observation Hence, Archimedes median is 6 t h observation, i.e., 13 . For Bernoulli: Ascending order of data, 3 , 6 , 9 , 13 , 13 , 15 , 15 , 17 , 19 , 20 , 20 ∴ Median = 11 + 1 2 = 12 2 = 6 t h observation Hence, Bernoulli's median is 6 t h observation, i.e., 15 .

The marks obtained by two classes in a Mathematics test are shown below. The marks are out of 20 . Class Archimedes 12 13 4 19 20 12 13 13 16 18 12 Class Bernoulli 13 6 9 15 20 20 13 15 17 19 3 Find the range of scores for each class?

Given: Class Archimedes 12 13 4 19 20 12 13 13 16 18 12 Class Bernoulli 13 6 9 15 20 20 13 15 17 19 3 We know that, Range = Largest value - smallest value For Archimedes: The largest value = 20 The smallest value = 4 Range = 20 - 4 = 16 Hence, Archimedes range is 16 . For Bernoulli: The largest value = 20 The smallest value = 3 Range = 20 - 3 = 17 Hence, Bernoulli's range is 17 .

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Earn 100

Find a set of five numbers with mean five, median four and mode four.

Important Questions on Averages and Measures of Spread

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.1>Q 10

Find a set of five different whole numbers with mean five and median four.

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.1>Q 11

The mean mass of a group of

m

boys is

X k g

and the mean mass of a group of

n

girls is

Y k g

. find the mean mass of all of the children combined.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 1

Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in $kg$ , is recorded. The masses are shown below:

Ricky	$0.145$	$0.182$	$0.135$	$0.132$	$0.112$	$0.155$	$0.189$	$0.132$	$0.145$	$0.201$	$0.139$
Oliver	$0.131$	$0.143$	$0.134$	$0.145$	$0.132$	$0.123$	$0.182$	$0.134$	$0.128$

For each boy calculate the mean mass of berries collected per box. (Take all answers correct up to hundredth place)

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 1

Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in $kg$ , is recorded. The masses are shown below:

Ricky	$0.145$	$0.182$	$0.135$	$0.132$	$0.112$	$0.155$	$0.189$	$0.132$	$0.145$	$0.201$	$0.139$
Oliver	$0.131$	$0.143$	$0.134$	$0.145$	$0.132$	$0.123$	$0.182$	$0.134$	$0.128$

For each boy calculate the range of masses. (Take all answers correct up to hundredth place)

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 1

Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in $kg$ , is recorded. The masses are shown below:

Ricky	$0.145$	$0.182$	$0.135$	$0.132$	$0.112$	$0.155$	$0.189$	$0.132$	$0.145$	$0.201$	$0.139$
Oliver	$0.131$	$0.143$	$0.134$	$0.145$	$0.132$	$0.123$	$0.182$	$0.134$	$0.128$

Which boy collected more berries per load?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 1

Two friends, Ricky and Oliver, are picking berries. Each time they fill a carton its mass, in $kg$ , is recorded. The masses are shown below:

Ricky	$0.145$	$0.182$	$0.135$	$0.132$	$0.112$	$0.155$	$0.189$	$0.132$	$0.145$	$0.201$	$0.139$
Oliver	$0.131$	$0.143$	$0.134$	$0.145$	$0.132$	$0.123$	$0.182$	$0.134$	$0.128$

Which boy was more consistent while collecting the berries?

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 2

The marks obtained by two classes in a Mathematics test are shown below. The marks are out of $20$ .

Class Archimedes	$12$	$13$	$4$	$19$	$20$	$12$	$13$	$13$	$16$	$18$	$12$
Class Bernoulli	$13$	$6$	$9$	$15$	$20$	$20$	$13$	$15$	$17$	$19$	$3$

Calculate the median score for each class.

EASY

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 2

The marks obtained by two classes in a Mathematics test are shown below. The marks are out of $20$ .

Class Archimedes	$12$	$13$	$4$	$19$	$20$	$12$	$13$	$13$	$16$	$18$	$12$
Class Bernoulli	$13$	$6$	$9$	$15$	$20$	$20$	$13$	$15$	$17$	$19$	$3$

Find the range of scores for each class?

Find a set of five numbers with mean five, median four and mode four.

Important Questions on Averages and Measures of Spread

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