The following data lists the number of deaths for the top thirteen worst U.S. to

Question

The following data lists the number of deaths for the top thirteen worst U.S. tornados since 1925. 689, 454, 102, 208, 142, 271, 315, 268, 150, 181, 114, 115, 110 Suppose that when the value of 689 was entered into a calculator or other software a mistake was made and it was entered as 1,689. Choose the statement that describes what affect this mistake will have on the mean and median of the listed data set (i.e. what happens if the data value of 689 was entered as 1,689) O A. The median will be higher than it should be, but the mean will not be affected by the error. B. Both the median and the mean will be higher than they should be C. The median will not be affected by the error, but the mean will be higher than it should be. D. The median and the mean will not be affected by the error. Both measures of center are resistant to extreme values.

Explanation / Answer

Since 689 incorrectly calculated as 1689, mean will be higher for 1689 value than 689 since sum of data increases.

[Mean is caculated as Sum of all values / number of values ]

Since 689 is right most (maximum) value in above data set, value 1689 will not affect order of the data set ,

so median will be same for incorrecct 1689 value.

So if 689 is incorrectly calculated as 1689, mean will increase but median will remains same.

Option C) is correct answer.

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