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Home > Maths > Data Handling > Inter-quartile range, cumulative frequency, box and whisker plots - Higher

Maths

Data Handling

Inter-quartile range, cumulative frequency, box and whisker plots - Higher - Test

1.

The weights of 200 students are given in the table below:

Weight (kg)Frequency
35 < x less than or equal to 4010
40 < x less than or equal to 5050
50 < x less than or equal to 6590
65 < x less than or equal to 7020
70 < x less than or equal to 8030

Which of the following histograms (A, B or C) represents the data correctly?

histograms

The lengths of a number of leaves are recorded in the table below.

Length (cm)FrequencyFrequency density
1-3124
4-724B
8-A52.5
10-12C2

A histogram is to be drawn to represent the data. Find the values of A, B and C.

2.

A =

3.

B =

4.

C =

Questions 7-9 refer to the table below:

Age (years)FrequencyCumulative frequency
0-377
4-76A
8-1111B
12-151438
16-19240

5.

What's the lower class boundary of the first class?

6.

What's the upper class boundary of the first class?

7.

A =

8.

B =

9.

Find the interquartile range for the following set of data:
21, 34, 53, 43, 27, 38, 20, 32, 13, 42, 55

10.

This box-and-whisker plot represent the ages of people in a cinema:

box-and-whisker plot

What's the interquartile range?