Question

which values in the ordered data set would be considered an outlier? 21, 23, 32, 32, 32, 33, 35, 36, 36, 42, 45. identify each value listed below as an outlier or not an outlier by pressing the appropriate hotspot. press the answer box after each selection to save your responses. press to hear a reminder or hint for this problem. an outlier is 1.5 iqrs greater than or less than the iqr boundaries.

Explanation:

Step1: Calculate quartiles

First, find the median (Q2). Since there are 11 data - points, the median is the 6th value, so Q2 = 33. The lower half of the data is 21, 23, 32, 32, 32. The median of the lower half (Q1) is 32. The upper half of the data is 35, 36, 36, 42, 45. The median of the upper half (Q3) is 36.

Step2: Calculate IQR

IQR = Q3 - Q1 = 36 - 32 = 4.

Step3: Calculate lower and upper bounds

Lower bound = Q1 - 1.5IQR = 32-1.54 = 32 - 6 = 26. Upper bound = Q3 + 1.5IQR = 36+1.54 = 36 + 6 = 42.

Step4: Identify outliers

Values less than 26 are outliers. So 21 and 23 are outliers. 42 is not an outlier as it is equal to the upper - bound.

Answer:

21: Outlier
23: Outlier
42: Not an outlier