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The number of hours worked by the employees of Bob's Car Wash in one week are listed.
20, 40, 30, 36, 36, 40, 39, 36, 38
The mean is 35 hours per week and the median is 36 hours per week.
Which statement best explains why the mean is less than the median?
A. There are only 9 employees.
B. Nobody works more than 40 hours.
C. The smallest number is half the largest.
D. One worker works much fewer hours than everyone else.

Respuesta :

The mean is less than the median explained by One worker works much fewer hours than everyone else.

The correct option is (D)

What is mean and median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

Mean is a quantity that has a value intermediate between those of the extreme members of some set

Given data: 20, 40, 30, 36, 36, 40, 39, 36, 38.

Mean= 35 and median= 36

As, the median of a data is the middle number in given data set, after the values have been arranged in either an ascending or descending order.

and the mean is a weighted average of a data set.

We have a relatively low value of working hours, which shows that in the distribution, the worker who works only 20 hours, will affect the mean hours worked done by all the workers and make it lower than the median value.  

Hence, One worker works much fewer hours than everyone else.

Learn more about this mean and median here:

https://brainly.com/question/17060266

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