There is a data set A: 3, 3, 3, 5, 6, 6, 8, 9, 9, 12, 13.
The data set B is created. It is identical to A, except for its much larger last value.Data set B: 3, 3, 3, 5, 6, 6, 8, 9, 9, 12, 83. What is the effect of increasing the largest value upon the descriptive statistics of the data set?

Question

Quizplus · Accepted Answer

Increasing the largest value in the data set B affects the descriptive statistics in several ways: The mean increases because the sum of all values in the set increases while the number of values remains the same. The distribution changes from being less skewed to more skewed due to the introduction of a much larger outlier. The standard deviation and variance both increase as the spread of the data around the mean becomes larger. The range increases because the difference between the largest and smallest values in the set becomes greater. The median and mode are not affected by the change in the largest value because the median is still the middle value when the data is ordered, and the mode is the most frequently occurring value(s), neither of which changes with the introduction of a larger outlier.

There Is a Data Set A: 3, 3, 3, 5