Which of the following would indicate that a dataset is skewed to the right?

a. The interquartile range is larger than the range.

b. The range is larger than the interquartile range.

c. The mean is much larger than the median.

d. The mean is much smaller than the median.

Question

Mathematics

Leslie

14 September, 23:39

Which of the following would indicate that a dataset is skewed to the right?

a. The interquartile range is larger than the range.

b. The range is larger than the interquartile range.

c. The mean is much larger than the median.

d. The mean is much smaller than the median.

+1

Answers (1)

Know the Answer?

Sheldon Reese · Answer 1

Answer: c. The mean is much larger than the median

Step-by-step explanation:

A dataset is skewed to the right when the peak of the dataset is located in the left (left of the mean), and it has a long right tail. It is also call positive skewed distribution. One of the characteristics of right skewed dataset is that the mean of the dataset is always greater/larger than the median and mode.

Therefore, for the case above if the mean is much larger than the median, it indicates that the dataset is skewed to the right.

Which of the following would indicate that a dataset is skewed to the right?a. The interquartile range is larger than the range.b. The range is larger than the interquartile range.c. The mean is much larger than the median.d. The mean is much smaller than the median.

Which of the following would indicate that a dataset is skewed to the right?

a. The interquartile range is larger than the range.

b. The range is larger than the interquartile range.

c. The mean is much larger than the median.

d. The mean is much smaller than the median.