Analysing data - OCR test questions - OCR

1

Here are seven numbers: 5, 3, 2, 10, 19, 7 and 3. What is the mode?

2

Here are seven numbers: 5, 3, 2, 10, 19, 7 and 3. What is the median?

3

Here are seven numbers: 5, 3, 2, 10, 19, 7 and 3. What is the mean?

4

Here are seven numbers: 5, 3, 2, 10, 19, 7 and 3. What is the range?

5

What is one disadvantage of using the mode?

6

What is one disadvantage of using the mean?

7

For ten days, the number of patients waiting in a dentist’s surgery at 5pm was recorded. The table summarises the results. Find the mean number of patients waiting at 5pm.

Number of patientsFrequency
01
13
22
34

8

The table below shows the height in centimetres of a local rugby team. Find the modal height.

Height in cm (h)Frequency (f)
\[170~\textless~h ≤ 175\]2
\[175~\textless~h ≤ 180\]2
\[180~\textless~h ≤ 185\]5
\[185~\textless~h ≤ 190\]3
\[190~\textless~h ≤ 195\]2
\[195~\textless~h ≤ 200\]1

9

The table below shows the height in centimetres of a local rugby team. Find the group that contains the median height.

Height in cm (h)Frequency (f)
\[170~ \textless~ h ≤ 175\]2
\[175~\textless~ h ≤ 180\]2
\[180~\textless~ h ≤ 185\]5
\[185~ \textless~ h ≤ 190\]3
\[190 ~\textless~ h ≤ 195\]2
\[195~\textless~ h ≤ 200\]1

10

The table below shows the height in centimetres of a local rugby team. Estimate their mean height.

Height in cm (h)Frequency (f)
\[170~\textless~ h ≤ 175\]2
\[175~\textless~ h ≤ 180\]2
\[180~\textless~ h ≤ 185\]5
\[185~\textless~ h ≤ 190\]3
\[190~\textless~ h ≤ 195\]2
\[195~\textless~ h ≤ 200\]1