Initial Diagnostic Audit - Unit E3: Measures of Central Tendency
Do NOT use a calculator for any questions in the audit unless specifically told otherwise
Section E3.1 - Mean, Medial, Mode and Range
The number of goals scored in each match in the Premier League one weekend was
1, 0, 4, 3, 1, 0, 5, 1, 3, 7
1.
What is the mean number of goals scored per match?
2.
What is the median number of goals scored per match?
3.
What is the modal number of goals scored per match?
4.
What is the range of the values?
5.
Section E3.2 - Finding the Mean from Tables and Tally Charts
You may use a calculator for questions in this section
The marks obtained by students on a short test are summarised below.
Score Frequency
0 8
1 10
2 12
3 3
4 5
5 2
6.
How many students took the test?
7.
Calculate the total of 'Scores × Frequency'.
8.
What is the mean of the scores?
9.
What is the median value?
10.
What is the modal value?
Section E3.3 - Calculations with the Mean
You may use a calculator for questions in this section
11.
The mean of a set of 5 numbers is 4.4. An extra number, 5, is added to the set.
What is the new mean?
12.
In a cricket match, Richard's mean score in five innings was 52 runs.
(a) How many runs had he scored?
(b) After his next innings, his mean score was 54.
How many runs did he score in his sixth innings?
13.
The mean of five numbers is 4.4, What extra number must be included to bring the mean up to 5.5?
14.
The mean of seven numbers is 10.5. When an extra number is included, the mean changes to 10. What is the extra number?