Question

Use the accompanying data set to complete the following actions. a. Find the quartiles. b. Find the interquartile range. c. Identify any outliers. 40 52 37 43 41 38 41 46 43 37 35 56 43 34 15 53 37 51 30 30 a. Find the quartiles. The first quartile, Q7, is The second quartile, Q2, is The third quartile, Q3, is (Type integers or decimals.) b. Find the interquartile range. The interquartile range (IQR) is (Type an integer or a decimal.) - anti- Click to select your answer(s).

Please help

Answer 1

Arrange th enumber in ascending order

15 30 30 34 35 37 37 37 38 40 41 41 43 43 43 46 51 52 53 56

a)

The first quartile = (35 +37)/2 = 36

The second Quartile = (40 + 41)/2 = 40.5

The third quartile = ( 43+46)/2 = 44.5

b)

Interquartile range = Q3 - Q1

= 44.5 - 36
= 8.5

c)

Now, we can compute the lower and upper limits for outliers:

Lower = Q1 - 1.5 * IQR
= 36 - 1.5 * 8.5 = 23.25

Upper = Q3 + 1.5 *!QR
= 44.5 + 1.5 * 8.5
= 57.25

An outcome X is an outlier if X < 23.25 or if X > 57.25

In this case, there is one outlier in the sample, and the outlier is 15