Foundation November 2018 Paper 3 Q9

9 A company sells houses.

The line graph shows the number sold per week for 30 weeks.

(a) Work out the range of the number of houses sold per week. [2 marks]

(b) Work out the median number of houses sold per week. [2 marks]

The prices are £185 000, £239 000 and £136 000

The company earns 2% commission on each house.

In total, how much commission does the company earn on these three houses? [3 marks]

Answer	Mark	Comments
0 and 5 identified	M1
5	A1

Mark scheme (b)

Answer	Mark	Comments
\(\dfrac{3 + 4}{2}\) or \(\dfrac{30 + 1}{2}\) or 15.5 or (between) 15th and 16th (value) or identifies 3 and 4 or correct numbers listed in either order to at least 16th value 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4 or 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3	M1
3.5	A1

Correct ordered list of at least 16 terms starting from 0 or 5	M1
1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5 correct ordered list starting from 5	M1
\(\dfrac{3 + 4}{2}\) = 3.5 and 3 or 4 houses written on answer line	M1A0

Mark scheme (c)

Answer	Mark	Comments
Alternative method 1
185 000 + 239 000 + 136 000 or 560 000	M1
their \(560\,000 \times 0.02\)	M1dep	oe
11 200	A1	SC1 33 600
Alternative method 2
\(185\,000 \times 0.02\) or 3700 or \(239\,000 \times 0.02\) or 4780 or \(136\,000 \times 0.02\) or 2720	M1	oe
\(185\,000 \times 0.02 + 239\,000 \times 0.02 + 136\,000 \times 0.02\) or their 3700 + their 4780 + their 2720	M1dep	oe
11 200	A1	SC1 33 600
Alternative method 3
\(185\,000 \times 1.02\) or 188 700 or \(239\,000 \times 1.02\) or 243 780 or \(136\,000 \times 1.02\) or 138 720	M1	oe
\((185\,000 + 239\,000 + 136\,000) \times 1.02\) or 571 200 or their 188 700 + their 243 780 + their 138 720	M1dep	oe
11 200	A1	SC1 33 600

560 000 + 11 200	M1M1A0
\(560\,000 \times 0.02 = 11\,200\) with \(11\,200 \times 3\)	M1M0A0