Test
Mean, mode and median
This test develops the ability to calculate and interpret the arithmetic mean, mode, median and range. Tasks require students to order data, read frequency tables and choose the most appropriate measure of centre for a situation.
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Question 1out of 10
The mode is the value that occurs most often in a data set.
- Count how many times each number appears.
- Find the number with the greatest frequency.
The data does not have to be sorted. The mode is not necessarily the largest number or the mean.
Question 2out of 10
| A | B | C | D |
|---|---|---|---|
| 6 | 6 | 5 | 9 |
Question 3out of 10
Question 4out of 10
The median is the middle value of an ordered data set.
- Arrange all numbers from smallest to largest.
- When the number of values is odd, select the number exactly in the middle.
If there were an even number of values, calculate the arithmetic mean of the two middle values.
Question 5out of 10
| 1 | 2 | 3 | 4 |
|---|---|---|---|
| 1 | 1 | 2 | 3 |
Question 6out of 10
| 1 | 2 | 3 | 4 |
|---|---|---|---|
| 4 | 1 | 2 | 1 |
Question 7out of 10
Question 8out of 10
Question 9out of 10
Question 10out of 10
The median is the middle value of an ordered data set.
- Arrange all numbers from smallest to largest.
- When the number of values is odd, select the number exactly in the middle.
If there were an even number of values, calculate the arithmetic mean of the two middle values.
Time left: 00:00:00
Sample questions
- Calculate the arithmetic mean: ___.
- Find the mode: ___.
- Find the median: ___.
- Find the range (maximum minus minimum): ___.
- The mean of ___, ___, ___ and an unknown number is ___. Find the unknown number.
Mean, mode, median and range
The mean is the total divided by the number of values. The mode is the most frequent value, the median is the centre of ordered data, and the range is the greatest value minus the smallest.
Selection
Order data before finding the median. For an even number of values, calculate the mean of the two central values. In a frequency table, account for how often each value occurs.
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