the accompanying data set to complete the following actions. a. Find the b. Find
ID: 3176269 • Letter: T
Question
the accompanying data set to complete the following actions. a. Find the b. Find the interquartile range. c. Identify any outliers. 42 51 36 43 41 36 41 48 43 39 35 56 44 34 15 52 38 51 30 29 a. Find the quartiles. The first quartile, Q1, is The second quartile Q2. is The third quartile, Q3 is b. Find the interquartile range. The interquartile range (OR) is c. Identify any outliers. Choose the correct choice below. O A. There exists at least one outlier in the data set at (Use a comma to separate answers as needed.) O B. There are no outliers in the data set.Explanation / Answer
1)
total n=20
arranging in ascending order
15 29 30 34 35 36 36 38 39 41 41 42 43 43 44 48 51 51 52 56
Median=(41+41)/2=41
so 3 groups or quartile
15 29 30 34 35 36 36 38 39
The first quartile Q1 is =35
41 41
The second quartile Q2 is=(41+41)/2=41
42 43 43 44 48 51 51 52 56
The third quartile Q3 is =48
Inquartile range= Q3-Q1
=48-35
=13
Inquartile range is 13
Outliers are (1) more than 48 + 1.5*IQR =67.5 or
(2) less than 48 – 1.5*IQR = 28.5, so no outliers.
There are no outliers
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