Calculating the mean | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these frequency tables shows 49 pieces of data?
The bar chart shows the number of children who have visited different attractions in the summer holidays. The bar for ______ has a frequency of 12.
- 'Zoo' ✓
Laura times her bus journey to school every day for a week. On which day did Laura's journey take 28 minutes?
- Monday
- Tuesday
- Wednesday
- Thursday ✓
- Friday
A measure of central tendency is a summary measure that attempts to describe a whole set of ______ with a single value that represents the middle or centre of its distribution.
- 'data' ✓
A large data set has 452 data values which have a total of 16 724. The mean of the data is ______.
- '37' ✓
The mean for the data shown on this dot plot is ______.
- '6' ✓

Select all the data sets that have a mean.
- 4, 5, 8, 0, 2, 5 ✓
- 3.1, 4.4, 7.3, 8.0, 9.4 ✓
- tea, coffee, tea, tea, coffee, tea, water
- -6, -4, -3, -8, 4, 7, 8 ✓
- rose, tulip, daffodil
The (arithmetic) mean for a set of ______ data is the sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
- 'numerical' ✓
Without any further calculation, which of these could be the mean?
- 2.53 ✓
- 10
- 16
- 58
- 147
Laura records how long her journey is to school each day for a week. The line graph shows her results. Laura's mean journey time is ______ minutes.
- '28.2' ✓
The bar chart shows the number of goals scored by a club in a season. 192 goals were scored in total. The mean number of goals per match is ______ rounded to 1 decimal place.
- '2.2' ✓
Which of these calculations is correct for finding the mean from this frequency table?
- ${6+7+6+12+14}\over{5}$
- ${6+7+6+12+14}\over{10}$
- ${0+7+12+36+56}\over{5}$
- ${6+7+12+36+56}\over{6+7+6+12+14}$
- ${0\times6+1\times7+2\times6+3\times12+4\times14}\over{6+7+6+12+14}$ ✓

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Pupils may divide by how many groups/bars there are, instead of the total frequency.

By reminding students frequently that averages need to give a 'typical' value of the data set, ask them to sense check their mean value.

Frequency - The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.
Data - Data are a collection of information.
Mean - The sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
Measure of central tendency - A summary measure that attempts to describe a whole set of data with a single value that represents the middle of the distribution.