An advertising company is comparing published listening figures for different radio stations and podcasts in order to decide where is the best place to put their adverts. The audience figures for the last 20 quarters of radio stations A and B are in Table 1. Table 1 Audience figures in 100 000’s of radio stations A and B for the last 20 quarters Radio Station A Radio Station B 109 95 103 98 105 97 110 96 108 97 106 96 105 97 109 95 112 93 112 94 115 95 111 91 113 92 112 96 115 102 105 103 109 100 107 106 105 108 108 104 page 3 of 9 (a) (i) Find the summary values for radio stations A and B, using Dataplotter 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 a check that you have entered the data correctly. [1] Table 2 Summary values of audience figures in 100 000’s for radio stations A and B. Radio Station A Radio Station B Min Median Max Mean 109.0 97.8 SD IQR Range (ii) Use the two measures of location to say which radio station, on average, has most listeners. Explain your reasoning. [2] (iii) Use all three measures of spread to say which radio station has the greater variability in the amount of listeners. Explain your reasoning.
An advertising company is comparing published listening figures for different
radio stations and podcasts in order to decide where is the best place to put
their adverts. The audience figures for the last 20 quarters of radio stations
A and B are in Table 1.
Table 1 Audience figures in 100 000’s of radio stations A and B for the last
20 quarters
Radio Station A Radio Station B
109 95
103 98
105 97
110 96
108 97
106 96
105 97
109 95
112 93
112 94
115 95
111 91
113 92
112 96
115 102
105 103
109 100
107 106
105 108
108 104
page 3 of 9
(a) (i) Find the summary values for radio stations A and B, using
Dataplotter 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 a check that you
have entered the data correctly. [1]
Table 2 Summary values of audience figures in 100 000’s for radio
stations A and B.
Radio Station A Radio Station B
Min
Median
Max
Mean 109.0 97.8
SD
IQR
Range
(ii) Use the two measures of location to say which radio station, on
average, has most listeners. Explain your reasoning. [2]
(iii) Use all three measures of spread to say which radio station has the
greater variability in the amount of listeners. Explain your
reasoning.
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