Checking understanding of measures of central tendency | Maths

Starter quiz

Which of these is not a measure of central tendency?

mean

median

mode

range ✓
The mode of this data set is 6. Which of these values can $x$ take?

5

6 ✓

7

13 ✓
The mean of this data set is 5, so $x$ is ______.

'1' ✓
The range of this data set is 5. What could the values of $x$ be?

1

2 ✓

10 ✓

11

12
The median of this set of data is 6. Which of these describe all the values $x$ be?

$x$ has to be more than 6

$x$ has to be more than 7

$x$ has to be less than 5

$x$ has to be 6

$x$ can be any number ✓
Match each letter to the number it represents.

$a$

⇔

6 ✓

$b$

⇔

700 ✓

$c$

⇔

70 ✓

$d$

⇔

50 ✓

$e$

⇔

2100 ✓

$f$

⇔

42 ✓

In which of these data sets is the mean more likely to be influenced by outliers or unsymmetrical data?

23, 26, 27, 27, 29, 31

24, 27, 29, 29, 32, 59 ✓

13, 37, 37, 39, 40, 41 ✓

42, 44, 45, 46, 48
Which of these measures of central tendency can be used to summarise qualitative data?

mean

median

mode ✓
This dot plot shows a data set where the mode = median = 48. Will the mean be less than 48, equal to 48 or more than 48?

less than 48

equal to 48

more than 48 ✓
Select the true statements for the data set: 8, 13, 8, 11, 10, 13, 8, 11, 12, 10.

The most frequent data point is 3.

The most frequent data point is 8. ✓

The modal value occurs 2 times.

The modal value occurs 3 times. ✓

The modal value occurs 8 times.
Which of the measures of central tendency would be the most appropriate measure for the shopkeeper to use to know how many carrier bags to order?

mean

median ✓

mode
The average house price on a street of 8 houses is advertised at £400 000. A local estate agent values 7 houses below £400 000. Which average has been used in the quoted £400 000?

mean ✓

median

mode

Loading worksheet ...

Loading presentation ...

Mean, median and mode are only useful if they are close together.

If the mean is significantly higher or lower than the other averages, this suggests an extreme value in the data set.

Measure of central tendency - A measure of central tendency is a summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution.
Statistical summary - A statistical summary sums up the features of a data set.