(a) (i) Find the summary values for radio stations A and B. usingDataplotter or otherwise. Copy and complete the table below.Round values, where necessary, to one decimal place.The mean, rounded to one decimal place, is given for you as acheck that you have entered the data correctly.Table 2 Summary values of audience figures in 100 000s for radiostations A and B.MinMedianMaxMeanSDIQRRangeRadio Station A Radio Station B110.5.97.6Use the two measures of location to say which radio station, onaverage, has most listeners. Explain your reasoning.(iii) Use all three measures of spread to say which radio station has thegreater variability in the amount of listeners. Explain yourreasoning.(b) (i) Create boxplots for these two data sets (either drawn by hand or asa printout from Dataplotter or another suitable computer package).Include all the relevant information required for drawing boxplotsas set out in Subsection 1.2 of Unit 11.The summary values can be displayed on the boxplots themselves orin a table to the side of the chart, as they appear in Dataplotter.(ii) Use the boxplot for radio station B to say whether the data aresymmetric or skewed. If the data are skewed, then state whetherthey are skewed to the left or skewed to the right. What does thistell you about the spread of the data for radio station B?The advertising company tries to summarise what the boxplot forradio station A is saying. Are the following statements true orfalse? In each case justify your answer.(1) About one-quarter of the reporting periods for radio station Ahad less than 10 650 000 listeners.(2) About three-quarters of the reporting periods for radio stationA had more than 11 150 000 listeners. An advertising company is comparing published listening figures for differentradio stations and podcasts in order to decide where is the best place to puttheir adverts. The audience figures for the last 20 quarters of radio stationsA and B are in Table 1.Table 1 Audience figures in 100 000s of radio stations A and B forthe last 20 quarters.Radio Station A Radio Station B11210610811311110910811211511511811411611511310310710510310698101100991009910098969798878892989996102104100

Question

Accepted Answer

Given information:

Radio Station A
Radio Station B

112
98

106
101

108
100

113
99

111…