Averages (including IQR): Eduqas GCSE Foundation November 2020 Paper 1 Q4

Foundation November 2020 Paper 1 Q4

EduqasFoundationCurrent spec4 marksAverages (including IQR)Percentages

4. Fifty students in a small school voted for their Head Girl and Head Boy.

(a)

The three candidates for Head Girl were Abby, Bea and Cherry.
The frequency table shows the tally of the votes for 30 of the students.

Frequency table with columns Candidate, Tally, Frequency: Abby has a tally of 10, Bea a tally of 8, Cherry a tally of 12; the frequency column is blank

The remaining 20 votes are shown below.

Abby	Bea	Abby	Abby	Cherry
Bea	Abby	Bea	Cherry	Abby
Cherry	Abby	Bea	Abby	Cherry
Bea	Cherry	Abby	Bea	Abby

Which girl won the vote?
You must show all your working. [2]

(b)

The frequency table shows the results of voting for the Head Boy.

Candidate	Frequency
Dan	13
Eli	20
Fred	17

What percentage of the 50 students voted for the winning boy? [2]

Mark scheme (a)

Scheme

Marks

Comments

Abby selected and evidence of all 3 correct totals seen as frequencies and/or tallies

Abby	19
Bea	14
Cherry	17

Frequencies may not be in the table; tallies and frequencies for total votes may not agree but frequencies take precedence for B2; allow for seeing e.g. 10, 8, 12 as frequencies for given tallies and then the correct tallies for the remaining list (which would together total 19, 14, 17 if added)

B1 for three frequencies or tallies for total votes with one correct and a correct FT decision
OR for two correct frequencies or tallies for total votes
OR for three correct frequencies or tallies for total votes and an incorrect or no decision.

Scheme	Marks	Comments
\(\dfrac{20}{50}\,(\times 100)\) oe	M1	Allow for \(\frac{40}{100}\)
40 (%)	A1
	(4)