Question: A recent survey by a broadcasting company revealed that the number of viewers of different T.V channels in U.S.A are as recorded. Choose the appropriate box-and-whisker plot for the data and find the mean number of T.V viewers.
Number of viewers of different T.V channels in U.S
Channel
Number of viewers (in millions)
Discovery
20
HBO
32
Fox Sports
10
CNN
14
Cartoon Network
16
A ) Figure 1, 16 millions B ) Figure 3, 10.5 millions C ) Figure 2, 32.3 millions D ) Figure 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
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 [Simplify.]
6 So, Figure 4 is the appropriate box-and-whisker plot for the data.
7 Mean number of T.V viewers = Sum of the viewers of all channelsNumber of channels.
8 = 10+14+16+20+325 = 18.4 millions [Substitute and simplify.]
