Question

PLEASE HELP! THANK YOU!

Which of the following describes the probability distribution below?

A.) The median is greater than the mean, and the majority of the data points are to the left of the mean.
B.) The median is greater than the mean, and the majority of the data points are to the right of the mean.
C.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
D.) The mean is greater than the median, and the majority of the data points are to the right of the mean.

(It is not letter "A" I know that for sure!)

Answer 1

From the graph shown we can describe the distribution as follows:
Majority of the data points are to the right of the mean, this implies that the median is greater than the mean of the data, thus we can conclude that the correct answer is:
B]  The median is greater than the mean, and the majority of the data points are to the right of the mean.

Answer 2

Answer:

Option: B is correct.

( B.) The median is greater than the mean, and the majority of the data points are to the right of the mean ).

Step-by-step explanation:

With the help of the data:

the mean  is calculate as:

Mean=∑x×P_x

From the table we have:

    x         P_x                     xP_x

    1            0.1                       0.1

    2          0.15                      0.3

    3           0.2                     0.6

    4           0.45                    1.8

     5          0.1                       0.5

                            ∑xP_x=3.3

Hence the Mean of the data is 3.3

Also the median is the central tendency of the data or the central value.

Also from the graph we could see that the majority of the data points are to the right of the mean.

Hence, Median will lie to the right of the mean.

Hence, option: B is correct.

( B.) The median is greater than the mean, and the majority of the data points are to the right of the mean )