Cumulative Frequency: WJEC GCSE Numeracy Intermediate June 2025 Unit 1 Q15

Numeracy Intermediate June 2025 Unit 1 Q15

WJECIntermediateCurrent spec5 marksCumulative Frequency Percentages

15. Aled is a gardener.
In April, he records how many minutes he spends working in each of his customers’ gardens.

He draws a cumulative frequency diagram to display the findings.

Cumulative frequency graph: Time (minutes) 0 to 50, cumulative frequency 0 to 50; points (0, 0), (10, 1), (20, 25), (30, 28), (40, 33), (50, 50) joined by straight lines

(a) Find the median time that Aled spends working in the garden for these customers. [1]

Median is …………… minutes

(b) For how many customers did Aled spend between 10 and 30 minutes working in their garden? [1]

…………… customers

(c) For 70% of his customers, Aled thinks that he spends less than 40 minutes working in their garden.
Is Aled correct?
You must show all your working. [3]

Aled is correct ☐ Aled is not correct ☐

Scheme	Marks	Comments
20 (minutes)	B1	Answer space takes precedence

Scheme	Marks	Comments
27 (customers)	B1	Answer space takes precedence

Mark scheme (c)

Scheme	Marks	Comments
Appropriate sight of any of the following: (70% of 50 =) 35 (customers) AND (40 minutes is) 33 (customers) (30% not spent < 40 minutes is) 15 (customers) AND (> 40 minutes) 17 (customers) (70%) (35 customers is) 41 to 41.5 (minutes) ((40 mins) 33 customers is 33/50 × 100 =) 66% (>40 mins, 17 customers is 17/50 × 100 =) 34%	B2	B1 for any one of the following: (70% of 50 =) 35 (customers) (40 minutes is) 33 (customers) (30% not spent < 40 minutes is) 15 (customers) (> 40 minutes) 17 (customers)
Conclusion ‘Aled is not correct’	B1	CAO from correct working only and B2 previously awarded If B2 B1 but an incorrect unit given, penalise –1, e.g. 15 minutes and 17 minutes, or 35 minutes and 33 minutes B2 B1 – 1 (2 marks)