10 The table gives some information about the heights of 80 girls.
Least height
133 cm
Greatest height
170 cm
Lower quartile
145 cm
Upper quartile
157 cm
Median
151 cm
(a) Draw a box plot to represent this information.(3)
(b) Work out an estimate for the number of these girls with a height between 133 cm and 157 cm. (2)
Mark scheme (a)
Answer
Mark
Mark scheme
Box plot drawn
B3
for a fully correct box plot
(B2
for at least 3 correctly plotted values including box and whiskers/tails )
(B1
for at least 2 correctly plotted values including box or whiskers/tails or 5 correct values plotted or clearly identified and no box or whiskers/tails )
Additional guidance
Condone the lack of a vertical marker at the end of the tails
Note that a box must be present, as must “tails”
Mark scheme (b)
Answer
Mark
Mark scheme
60
M1
for a method to find ¾ of 80 eg \(20 + 20 + 20\) or \(\frac{3}{4} \times 80\)
