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! )

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 )

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05