Averages (including IQR): WJEC GCSE Foundation June 2024 Unit 1 Q11

Foundation June 2024 Unit 1 Q11

WJECFoundationCurrent spec3 marksAverages (including IQR)

11. Ifan has chosen four odd numbers.
Some of the numbers are the same and some of them are different.
Ifan’s numbers are all less than 10.

Both the mode and the mean of Ifan’s numbers are 7.

What numbers has Ifan chosen? [3]

Ifan’s numbers are ☐ ☐ ☐ ☐

Mark scheme

Scheme	Marks	Comments
5, 7, 7, 9 (in any order)	B3	Answer boxes take precedence. Four numbers must be given for B3 or B2 to be awarded B3 for 7, 7, 5, 9 B2 for mode = 7 AND total = 28 7, 7, a, b where a+ b = 14 and a and b can be any numbers (negative, fractions, decimals, even number or ≥10) e.g. 7, 7, 2, 12 NOT 7, 7, 7, 7 At least 2 numbers must be given for B1 to be awarded. B1 for mode = 7 OR total = 28 Examples include: 7,7,7,7 7,7,7,14 (mode = 7, total ≠ 28) 7, 7, blank, blank (mode = 7, total ≠ 28) 7, 3, 9, 9 (mode ≠ 7, total = 28) 7, 9, 12, blank (mode ≠ 7, total = 28) B1 for 7,7,14, blank (mode = 7, total = 28) B0 for 7, blank, blank, blank,

Scheme

Marks

Comments

5, 7, 7, 9 (in any order)

Answer boxes take precedence.
Four numbers must be given for B3 or B2 to be awarded
B3 for 7, 7, 5, 9
B2 for mode = 7 AND total = 28

7, 7, a, b where a+ b = 14 and a and b can be any numbers (negative, fractions, decimals, even number or ≥10) e.g. 7, 7, 2, 12
NOT 7, 7, 7, 7

At least 2 numbers must be given for B1 to be awarded.
B1 for mode = 7 OR total = 28
Examples include:

7,7,7,7
7,7,7,14 (mode = 7, total ≠ 28)
7, 7, blank, blank (mode = 7, total ≠ 28)
7, 3, 9, 9 (mode ≠ 7, total = 28)
7, 9, 12, blank (mode ≠ 7, total = 28)

B1 for 7,7,14, blank (mode = 7, total = 28)
B0 for 7, blank, blank, blank,