The table below shows data from a survey about the amount of time, in hours, high school students spent reading and the amount of time spent watching videos each week (without reading): Reading Video 3 1 3 2 4 3 5 4 6 6 7 7 10 8 12 8 14 9 30 15 Which response best describes outliers in these data sets? (2 points) Group of answer choices Reading has a suspected outlier in the 30-hour value. Reading has a suspected outlier in the 30-hour value, and video has a possible outlier in the 15-hour value. Neither data set has suspected outliers. The range of data is too small to identify outliers.
Answers
Given:
Video Table = 1 2 3 4 6 7 8 8 9 15
Reading = 3, 3, 4, 5, 6, 7, 10, 12, 14, 30
To Find:
Response describing the best outlier
Solution :
Total data points = 10
Mean of the data = 3 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 30/10
= 94/10
= 9.4
Mean of odd values = 30
= 3 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14/9
= 64/9
= 7.11
Thus, the outlier is 30
Video table = 1 2 3 4 6 7 8 8 9 15
The possible maximum value here is 15 so we will check whether it is an outlier or not
Mean of the data = 1 + 2 + 3 + 4 + 6 + 7 + 8 + 8 + 9 + 15/10
= 63/10
= 6.3
Mean after omitting 15
= 1 + 2 + 3 + 4 + 6 + 7 + 8 + 8 + 9/9
= 48/9
= 5.33
Answer : Reading has a suspected outlier in the 30-hour value and reading has also suspected an outlier in the 30-hour value, and video has a possible outlier in the 15-hour value.