Question

The dataset below represents bugs found by a software tester in her product during different phases of testing. 88, 84, 81, 94, 91, 98, 98, 200

The measures of central tendency are given below.

Mean: 104.25, Median: 92.5, Mode: 98

Identify the outlier and the measure of central tendency that is affected by the outlier.

a) The outlier is 98. The mode is affected by the outlier.

b) The outlier is 98. The mean is affected by the outlier.

c) The outlier is 200. The median is affected by the outlier.

d) The outlier is 200. The mean is affected by the outlier.

Answer 1

The outlier in the provided dataset is 200, and it impacts the calculation of the mean as it is an extreme value that skews the average.

Step-by-step explanation:

The dataset represents bugs found during different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200. The measures of central tendency provided are Mean: 104.25, Median: 92.5, and Mode: 98. To identify the outlier and the measure of central tendency that is affected, we need to look for a value that is significantly different from the others. In the given set, 200 is much higher than the other numbers and thus can be identified as the outlier.

Next, we assess the impact of the outlier on the measures of central tendency. Outliers typically affect the mean because it is the arithmetic average and is sensitive to extreme values. The median is the middle value when the data are ordered and is less affected by outliers. The mode is the most frequently occurring value and is not influenced by how extreme the outliers are. Consequently, the answer is that the outlier is 200 and it affects the mean of the dataset.