Question

A quantitative variable has the following statistics: Min = 0 Q1 = 20 M ed = 25 Q3 = 34 M ax = 70 Which of the following values below would be considered an outlier? 0 8 18 48 58 Part 2: Consider the data set: 24 32 33 37 49 35 31 (a) Calculate the mean, median and IQR (b) Check for outliers using the 1:5(IQR) rule, and indicate which data points are outliers. (c) Remove any outliers and recalculate the mean, median, IQR. If there are no outliers, then you can say "no change"

Answer 1

Descriptive statistics

Given that, 8. - 20, 33 - 34, IQR - 34 - 20 = 14 1:5 IDR = 1.5 x 14 2 21 We know that 1.5TQR below Q, and above 83 are the fences of data and beyond that are outliers.

c) Removing the outlien, mean = ( 243-49)/6 - 192/6 - 32 median = (6/th +(6/2+1) th/ (3rd + 4th obs.)/2 - (32+33) > 32.5 Now, two parts are: 24 , 31, 32 and 33, 35,37 . :: 91 = 31 and 33 - 35 I&R = 35 - 31 = 4. Ang