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Numeracy Higher November 2017 Unit 2 Q1

WJECHigherCurrent spec9 marksAverages (including IQR)Grouped Data

1. Alptai is a ski resort.
The daily snowfall for January is given in the table below.

Daily snowfall, \(s\) (cm)Number of days
\(0 \leqslant s \lt 5\)10
\(5 \leqslant s \lt 10\)16
\(10 \leqslant s \lt 20\)4
\(20 \leqslant s \lt 30\)0
\(30 \leqslant s \lt 50\)1
(a) Calculate an estimate for the mean daily snowfall for the 31 days of January. [4]
(b) Circle either TRUE or FALSE for each of the following statements. [2]
The table above shows that there definitely was snowfall on each of the 31 days in January.TRUEFALSE
There were 16 days when the daily snowfall was less than 10 cm.TRUEFALSE
There was only 1 day with snowfall greater than or equal to 20 cm.TRUEFALSE
The modal group also contains the median daily snowfall.TRUEFALSE
(c) For the 28 days of February, the mean daily snowfall in Alptai was 9 cm.

On 1st February, the snowfall recorded in Alptai was 63 cm.

Calculate the mean daily snowfall for the 27-day period 2nd to 28th February. [3]

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