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Numeracy Intermediate June 2017 Unit 1 Q6

WJECIntermediateCurrent spec3 marksFrequency Polygons

6. A survey was carried out to find how much time a group of 16-year-old students and a group of 18-year-old students spent using social media.
The frequency polygons below, which use equal time intervals, illustrate the results.

16-year-old students: frequency polygon, Frequency 0 to 80 against Time (minutes) 0 to 60, through (0, 0), (10, 40), (20, 60), (30, 40), (40, 70), (50, 20), (60, 0)
18-year-old students: frequency polygon, Frequency 0 to 80 against Time (minutes) 0 to 60, through (0, 0), (10, 20), (20, 20), (30, 60), (40, 70), (50, 60), (60, 0)
(a) How many 16-year-old students took part in the survey?
Circle your answer. [1]

60     70     210     230     2300

(b) How many more 16-year-old students than 18-year-old students spent between 15 minutes and 25 minutes using social media?
Circle your answer. [1]

20     40     60     100     250

(c) Wesley says,
‘The 16-year-old students generally spent about the same time using social media as the 18-year-old students.’

Using the frequency polygons, how would you explain to Wesley that his statement is not true? [1]