1MA0 Higher June 2014 Paper 1 Q16

EdexcelHigherOld spec6 marksBox Plots

16 Colin took a sample of 80 football players.
He recorded the total distance, in kilometres, each player ran in the first half of their matches on Saturday.

Colin drew this box plot for his results.

First half box plot on a scale from 3.5 to 6.5 km: minimum 4.2, lower quartile 4.85, median 5.3, upper quartile 5.6, maximum 6.4

(a) Work out the interquartile range. (2)

There were 80 players in Colin’s sample.

(b) Work out the number of players who ran a distance of more than 5.6 km. (2)

Colin also recorded the total distance each player ran in the second half of their matches.
He drew the box plot below for this information.

Second half box plot on a scale from 3.5 to 6.5 km

(c) Compare the distribution of the distances run in the first half with the distribution of the distances run in the second half. (2)

Answer	Mark	Notes
0.75	2	M1 for \(\text{``}5.6\text{''} - \text{``}4.85\text{''}\) with at least one value correct A1 cao

Answer	Mark	Notes
20	2	M1 for a complete method e.g. \(80 \div 4\) A1 cao

Mark scheme (c)

Answer	Mark	Notes
2 comparisons	2	B1 ft from (a) for a correct comparison of a measure of spread B1 for a correct comparison of medians (accept averages) For the award of both marks at least one of the comparisons made must be in the context of the question.

Working

	1st half	2nd half
Med	5.3	4.75
Range	2.2	2.45
IQR	0.75	0.75