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Averages and Data Interpretation

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Averages and Data Interpretation

Use the data displays to answer each question. Show your working for calculations, and give units where needed.

Calculating Averages

Find the mean, median and mode from the data sets below.

Match 1: 3 goals

Match 2: 1 goal

Match 3: 2 goals

Match 4: 4 goals

Match 5: 0 goals

Match 6: 2 goals

Match 7: 5 goals

Match 8: 1 goal

Match 9: 3 goals

Match 10: 2 goals

1.Using the ten match scores in the table, calculate the mean number of goals per match.
2.Using the ten match scores in the table, find the median number of goals.
3.Using the ten match scores in the table, state the mode.

143

149

152

147

155

150

146

153

148

151

144

152

4.Calculate the mean height of the pupils in the table. Give your answer to 1 decimal place.
5.Which average is most suitable for describing the typical height in this data set? Choose one and explain briefly.
  • Mean, because it uses every height and there are no extreme values.
  • Median, because it is always the most common height.
  • Mode, because it is found by adding all the heights.
  • Range, because it is an average.

Reading and Interpreting Data

Use the displays to calculate totals and compare values with averages.

January: 14

February: 9

March: 17

April: 12

May: 8

6.From the monthly library figures, calculate the mean number of books borrowed per month.
7.Which month in the library data had a number of books borrowed closest to the mean?

Monday: 3 symbols (🍦🍦🍦)

Tuesday: 5 symbols (🍦🍦🍦🍦🍦)

Wednesday: 2 symbols (🍦🍦)

Thursday: 4 symbols (🍦🍦🍦🍦)

Friday: 6 symbols (🍦🍦🍦🍦🍦🍦)

8.The ice-cream pictograph uses 4 ice creams per symbol. How many ice creams were sold across all five weekdays?
9.Using the weekday sales listed in the table, find the median number of ice creams sold per day.
10.If Saturday's sales equal the mean daily sales from Monday to Friday in the table, how many ice creams will be sold on Saturday?

3 printable pages

  • Averages and Data Interpretation, page 1 of 3: Calculating Averages

    Page 1

  • Averages and Data Interpretation, page 2 of 3: Reading and Interpreting Data

    Page 2

  • Averages and Data Interpretation, page 3 of 3: 10. If Saturday's sales equal the mean daily sales from Monday to Friday in the table,…

    Page 3

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