Question

The following table shows descriptive summaries for data on the number of defective cars produced daily at a Chevrolet plant:

Average = 5.34783 Minimum = 1.0

Median = 5.0 Maximum = 9.0

Mode = 5.0 Interquartile Range = 5.0

Variance = 6.78261 Variation coefficient = 48.6991%

Standard deviation = 2.60434

If the data x = 9 is changed to an arbitrarily large data (for example, x = 100), of the following three statements, which one is true?

a. The mean does not vary and the variance increases.
b. Neither option is correct.
c. The mean increases and the variance remains constant
d. The interquartile range increases and the median remains constant.

Answer 1

Neither option is correct.

If arbitrarily large data collected then all the quantities namely mean, variance, median and interquartile range increases.