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Numeracy Higher June 2022 Unit 2 Q1

WJECHigherCurrent spec10 marksGrouped DataPercentages

1.

(a) Last year, Janita recorded the number of miles she travelled each week in her car.
She summarised the information in a frequency table, as shown below.
Number of miles, \(x\)Frequency
\(20 \leqslant x \lt 60\)4
\(60 \leqslant x \lt 80\)8
\(80 \leqslant x \lt 100\)11
\(100 \leqslant x \lt 150\)12
\(150 \leqslant x \lt 200\)17
(i) In which group does the median weekly number of miles lie?
Circle your answer. [1]

\(20 \leqslant x \lt 60\)  \(80 \leqslant x \lt 100\)  \(150 \leqslant x \lt 200\)
\(60 \leqslant x \lt 80\)  \(100 \leqslant x \lt 150\)

(ii) Calculate an estimate of the mean number of miles Janita travelled each week in her car. [4]
(b) Last month:
  • Janita travelled 440 miles in her car
  • the cost of fuel was £1.30 per litre.

Janita’s car averages 11 miles per litre of fuel.

Next month, she needs to budget for an increased travel cost.

Janita says,

The number of miles I travel will increase by 12%.
The cost of fuel will increase by 10% next month.

Calculate how much Janita should budget for her car travel costs for next month.
You must show all your working. [5]

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