Practice — what type is this question? (Statistics)

1.1 Mr Brown conducted a survey on the amount of airtime (in rands) EACH student had on his or her cellphone. He summarised the data in the box and whisker diagram below. [Box-and-whisker diagram over the scale 10 to 66] 1.1.1 Write down the five-number summary of the data. 1.1.2 Determine the interquartile range. 1.1.3 Comment on the skewness of the data.

Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 1.1

1.2 A group of 13 students indicated how long it took (in hours) before their cellphone batteries needed recharging. The information is given in the table: 5 ; 8 ; 10 ; 17 ; 20 ; 29 ; 32 ; 48 ; 50 ; 50 ; 63 ; y ; 107 1.2.1 Calculate the value of y if the mean for this data set is 41. 1.2.2 If y = 94, calculate the standard deviation of the data.

Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 1.2

2 A student conducted a survey among friends and relatives to determine the relationship between age and the number of marketing phone calls received in a month: 20 < x ≤ 30: frequency 7 30 < x ≤ 40: cumulative frequency 27 40 < x ≤ 50: frequency 25 50 < x ≤ 60: cumulative frequency 64 60 < x ≤ 70: cumulative frequency 72 70 < x ≤ 80: frequency 4 80 < x ≤ 90: cumulative frequency 80 2.1 Complete the frequency and cumulative frequency columns. 2.4 Draw an ogive to represent the data. 2.5 Determine the percentage of marketing phone calls received by people older than 54 years.

Source: DBE Mathematics Paper 2, Grade 11, November 2017, Question 2