Comparing data sets using statistics test questions

Length (cm)Frequency
1 - 312
4 - 724
8 - 95
10 - 124

1

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

A box plot is to be drawn to represent the data.

In which interval is the median?

2

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

In which interval is the lower quartile Q1.

3

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

In which interval is the upper quartile Q3.

Age (years)FrequencyCumulative frequency
0 - 377
4 - 7613
8 - 111124
12 - 151438
16 - 19240

4

The table above shows the ages of children in the first class carriage on a train from Glasgow to London.Using this table, find the median age.

5

The table above shows the ages of children in the first class carriage on a train from Glasgow to London.Use the table to find the lower quartile Q1.

6

The table above shows the ages of children in the first class carriage on a train from Glasgow to London.Use the table to find the upper quartile Q3.

7

From the box plot, find the value of the upper quartile.

Box and whisker diagram

8

Calculate the interquartile range for the data below:

1, 5, 7, 8, 11, 14, 17, 17, 25

9

Calculate the semi-interquartile range for the data below:

6,7,9,10,11,13,14

10

From the data below, calculate the mean value:

30, 35, 45, 50, 55, 65, 70

11

Using the same data as in the previous question, calculate the standard deviation:

30, 35, 45, 50, 55, 65, 70