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Averages, Ranges & Data Practice Questions

Question 1

4 marks

Zara records the number of emails she receives each day for 10 days.

7,3,9,3,5,8,6,3,10,67,\quad 3,\quad 9,\quad 3,\quad 5,\quad 8,\quad 6,\quad 3,\quad 10,\quad 6

(a)

Write down the mode of the number of emails.

(b)

Work out the range of the number of emails.

(c)

Work out the mean number of emails.

Question 2

3 marks

The table shows information about the masses of 60 parcels posted from a shop in one day.

Mass (mm kg) Frequency
0<m≤20 < m \le 2 5
2<m≤42 < m \le 4 14
4<m≤64 < m \le 6 12
6<m≤86 < m \le 8 22
8<m≤108 < m \le 10 7
(a)

Write down the modal class.

(b)

Find the class interval that contains the median.

(c)

Explain why you cannot work out the exact value of the mean mass from this table.

Question 3

4 marks

The table shows information about the number of times each of 30 students was late for school last term.

Number of times late Frequency
0 12
1 5
2 6
3 4
4 3
(a)

Write down the mode.

(b)

Find the median number of times late.

(c)

Write down the range.