Consider the following frequency distribution. Class Frequency 2 up to 4 20 4 up to 6 60 6 up to 8 80 8 up to 10 20

a. Calculate the population mean. (Round your answer to 2 decimal places.)
b. Calculate the population variance and the population standard deviation.

a.) Population mean, = 6.11

b.) Population Standard deviation, = 1.67

    Population Variance, = 2.78

Step-by-step explanation:

Class     Mid point    Frequency                    

2 - 4                3          20                 60            -3.11          193.58

4 - 6                5          60               300            -1.11            73.93

6 - 8                7          80                560            0.889       63.23

8 - 10              9          20               180              2.89         167.04

total number of elements  = 20 + 60 + 80 + 20 = 180

Population size, N  = 180

a.)   = 60 + 300 + 560 + 180 = 1100

         Population mean, =

b.) = 193.58 + 73.93 + 63.23 + 167.04 = 497.78

Population Standard deviation,

              =

Population Variance, = 2.781

16 is the coefficient

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