Three shops sell light bulbs. A sample of 100 light bulbs is taken from each shop and the working life of each is measured in hours.The following table shows the mean time and range for each shop: Shop Mean (hours) Range (hours) Bright lights 136 18 Foot lights 145 36 Backlights 143 18 Which shop will you recommend to someone who is looking to buy a new light bulb and why?

Given: Shop Mean (hours) Range (hours) Bright lights 136 18 Foot lights 145 36 Backlights 143 18 To compare two or more sets of data, just comparing mean can sometimes be misleading. The larger the range, the more spread out the data is and the less consistent the values are with one another and vice versa. Foot light has the best mean but the range is large, whereas backlights and bright lights have the same range but backlights has a higher mean. Hence, I will recommend Backlights who is looking to buy a new light bulb.

Construct a frequency table for the following data and calculate mode: 3 4 5 1 2 8 9 6 5 3 2 1 6 4 7 8 1 1 5 5 2 3 4 5 7 8 3 4 2 5 1 9 4 5 6 7 8 9 2 1 5 4 3 4 5 6 1 4 4 8

Frequency distribution table: Output Frequency Frequency × Output 1 7 1 × 7 = 7 2 5 2 × 5 = 10 3 5 3 × 5 = 15 4 9 4 × 9 = 36 5 9 5 × 9 = 45 6 4 6 × 4 = 24 7 3 7 × 3 = 21 8 5 8 × 5 = 40 9 3 9 × 3 = 27 For the mode find the output value that has the highest frequency. The numbers 4 and 5 occurs most often 9 times . Hence, the mode is 4 and 5 .

EASY

Upper Secondary: IGCSE

IMPORTANT

Earn 100

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?

Important Questions on Averages and Measures of Spread

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	$13$	$6$	$9$	$15$	$20$	$20$	$13$	$15$	$17$	$19$	$3$

Which class did better in the test overall? (Archimedes/Bernoulli)

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	$13$	$6$	$9$	$15$	$20$	$20$	$13$	$15$	$17$	$19$	$3$

Which class was more consistent? (Archimedes/Bernoulli)

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.2>Q 3

Three shops sell light bulbs. A sample of $100$ light bulbs is taken from each shop and the working life of each is measured in hours.The following table shows the mean time and range for each shop:

Shop	Mean (hours)	Range (hours)
Bright lights	$136$	$18$
Foot lights	$145$	$36$
Backlights	$143$	$18$

Which shop will you recommend to someone who is looking to buy a new light bulb and why?

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.3>Q 1

Construct a frequency table for the following data and calculate mean:

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.3>Q 1

Construct a frequency table for the following data and calculate median:

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.3>Q 1

Construct a frequency table for the following data and calculate mode:

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.3>Q 1

Construct a frequency table for the following data and calculate the range:

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

MEDIUM

Upper Secondary: IGCSE

IMPORTANT

Cambridge IGCSE® Mathematics Core and Extended Coursebook Second Edition>Chapter 12 - Averages and Measures of Spread>Exercise 12.3>Q 2

Tickets for a circus were sold at the following prices: $180$ at $$ 6.50$ each, $215$ at $$ 8$ each and $124$ at $$ 10$ each.

Present this information in a frequency table.

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

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?

Important Questions on Averages and Measures of Spread

Learn and Prepare for any exam you want !

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?

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$

$3$	$4$	$5$	$1$	$2$	$8$	$9$	$6$	$5$	$3$	$2$	$1$	$6$	$4$	$7$	$8$	$1$
$1$	$5$	$5$	$2$	$3$	$4$	$5$	$7$	$8$	$3$	$4$	$2$	$5$	$1$	$9$	$4$	$5$
$6$	$7$	$8$	$9$	$2$	$1$	$5$	$4$	$3$	$4$	$5$	$6$	$1$	$4$	$4$	$8$