Question: The table shows the number of viewers of different TV channels in the U.S. Choose the appropriate box-and-whisker plot for the data and find the mean number of TV viewers.
Number of viewers of different TV channels in U.S.
Channel
Number of viewers (in millions)
Discovery
20
Star Sports
10
Star Movies
32
Cartoon Network
16
CNN
14
A ) Plot 1, 16 millions B ) Plot 2, 32.3 millions C ) Plot 3, 10.5 millions D ) Plot 4, 18.4 millions
Steps to derive
1 The ascending order of the number of viewers in the data is 10, 14, 16, 20 and 32.
2 The least value in the above list is 10 and the greatest value is 32.
3 Middle quartile of the plot = Median of the given data = 16
[Simplify.] 4 Lower quartile = Median of lower half of the data = 10+142 = 242 = 12
[Simplify.] 5 Upper quartile = Median of upper half of the data = 20+322 = 522 = 26
6 Among the plots, plot (4) is the appropriate box-and-whisker plot for the data.
7 Mean number of T.V viewers = Sum of the viewers of all channels / Number of channels
[Substitute and simplify.] 8 = 10+14+16+20+325 = 18.4 millions
