Find the mean of the data summarized in the given frequency distribution. compare the computed mean to the actual mean of 50.7 degrees. low temperature (circlef) 40minus44 45minus49 50minus54 55minus59 60minus64 frequency 2 7 9 5 1 the mean of the frequency distribution is nothing degrees. (round to the nearest tenth as needed.)

The mean of a distribution is the average of the distribution ; it is the sum of observation divided by the count of the observation.

Given that:

First, we calculate the class midpoint.

This is the sum of the class interval divided by 2.

The midpoint of class 40 - 44 is

The midpoint of class 45 - 49 is

The midpoint of class 50 - 54 is

The midpoint of class 55 - 59 is

The midpoint of class 60 - 64 is

So, the table becomes:

The mean is then calculated as:

So, we have:

Hence, the mean of the frequency distribution is

By comparing the computed mean and the actual mean, we can conclude that the computed mean is greater than the actual mean

Read more about mean of the frequency distribution at:

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The mean of the frequency distribution is 51.7°.

The computed mean 51.7° is greater than the actual mean 50.7° .

Step-by-step explanation:

The given table :

  Low Temperature (°F)      Frequency     Mid -value  

      Class interval                  f                        x                  fx

          40-44                           2                     42.5               85

          45-49                           7                     47.5               95                      

          50-54                          9                     52.5               105

           55-59                         5                     57.5                115

           60-64                          1                      62.5               25

The computed mean 51.7° is greater than the actual mean 50.7° .

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

the answer is 31.27mph