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IGCSE Math B10.B Mean, median and modeTopic Practice

10.B Mean, median and mode

Determination of the mean, median and mode for a discrete data set

Question 2

Here are the numbers of items that the last 9 people who visited a shop bought.

61132024141120\begin{array}{lllllllll} 6 & 1 & 13 & 20 & 2 & 4 & 14 & 11 & 20 \end{array}

Find the median of these numbers of items.

Question 3

Here are four numbers written in order of size.
w,7,x,24w,\quad 7,\quad x,\quad 24
The range of the four numbers is 18.
The median of the four numbers is 10.
Find the value of w and the value of x.

Question 6

Here are the twelve most recent batting scores of a cricketer.
23,45,3,56,23,18,78,56,6,87,11,26
Find the median of these twelve scores.

Question 8

[Maximum number: 3]

Here are the marks that 10 students scored in a test.

25, 11, 24, 6, 4, 28, 19, 11, 15, 10

Question 8(a)

(a)

Write down the mode of these 10 marks.

[ 1 ]

Question 8(b)

(b)

Find the median of these 10 marks.

[ 2 ]

Question 11

[Maximum number: 3]

Here are the marks that Srinjoy scored in each of 7 tests.
21242518282520\begin{array}{lllllll} 21&24&25&18&28&25&20 \end{array}

Question 11(a)

(a)

Write down the mode of these 7 marks.

[ 1 ]

Question 11(b)

(b)

After taking an 8th test, Srinjoy's mean mark for all 8 tests is 22.5.

Calculate his mark for the 8th test.

[ 2 ]

Question 9

Table

The table gives information about the number of brothers that each student in a class has.
Calculate the mean number of brothers.

Question 9

[Maximum number: 3]

Here are eight numbers.

15, 30, 18, 12, 23, 19, 16, 23

Question 9(a)

(a)

Write down the mode.

[ 1 ]

Question 9(b)

(b)

Find the median.

[ 2 ]

Question 11

[Maximum number: 3]

Here are the marks 10 students got in a test.

92464471039\begin{array}{llllllllll} 9 & 2 & 4 & 6 & 4 & 4 & 7 & 10 & 3 & 9 \end{array}

Question 11(a)

(a)

Write down the mode.

[ 1 ]

Question 11(b)

(b)

Calculate the mean mark.

[ 2 ]

Question 10

A factory produces 2500 plates.
There are large plates and small plates.
There are 800 large plates which have a mean weight of 600 grams.
The small plates have a mean weight of 450 grams.
Calculate the mean weight, in grams, of all 2500 plates.

Question 15

A team takes part in a sports league.
After 12 games its mean score per game is 96.
After 14 games its mean score per game is 98.
The ratio of its score in game 13 to its score in game 14 is 2:3.
Calculate its score in game 14.

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