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Foundation November 2019 Paper 2 Q20

EduqasFoundationCurrent spec8 marksAverages (including IQR)Grouped Data

20.

(a) In Queenbridge, the mean daily snowfall for a week was 1·6 cm.
If there had been 1 cm more snowfall on each day, what would the mean daily snowfall have been? [1]
(b)

In Sansburg, the snowfall for each of the first 10 days in January was measured.
The results are summarised in the table below.

Daily snowfall, \(s\) in cmNumber of days
\(1{\cdot}5 \leqslant s \lt 2{\cdot}5\)4
\(2{\cdot}5 \leqslant s \lt 3{\cdot}5\)2
\(3{\cdot}5 \leqslant s \lt 4{\cdot}5\)1
\(4{\cdot}5 \leqslant s \lt 5{\cdot}5\)0
\(5{\cdot}5 \leqslant s \lt 6{\cdot}5\)3

Calculate an estimate for the mean daily snowfall for these 10 days. [4]

(c)

During the first 5 days of February, the mean snowfall in Awezell was 4·7 cm.
On 6th February the snowfall was 23·9 cm.

Calculate the mean snowfall for the first 6 days of February. [3]