Mr. Green teaches mathematics and his class recently finished a unit on statistics. The student scores on this unit are: 40 47 50 50 50 54 56 56 60 60 62 62 62 63 65 70 70 72 76 77 80 85 85 95 Perform a statistical analysis on this data set. a) Find the measures of central tendency and the range of the data.

Mean = 64.46, Median = 62 and Mode = Bi-modal (50 and 62)

Range of the data is 55.

Step-by-step explanation:

We are given that Mr. Green teaches mathematics and his class recently finished a unit on statistics.

The student scores on this unit are:  40, 47, 50, 50, 50, 54, 56, 56, 60, 60, 62, 62, 62, 63, 65, 70, 70, 72, 76, 77, 80, 85, 85, 95.

We know that Measures of Central Tendency are: Mean, Median and Mode.

                   Mean  =  

where   = Sum of all values in the data

               n = Number of observations = 24

So, Mean  =  

=    =  64.46

So, mean of data si 64.46.

For calculating Median, we have to observe that the number of observations (n) is even or odd, i.e.;

                     Median  =  

                     Median  =  

Now here in our data, the number of observations is even, i.e. n = 24.

So, Median  =  

                    =  

                    =  

                    =    =    =  62

Hence, the median of the data is 62.

In our data, there are two values which appear maximum number of times, i.e. 50 and 62 as these both appear maximum 3 times in the data.

This means our data is Bi-modal with 50 and 62.

                      Range  =  Highest value - Lowest value

                                   =  95 - 40 = 55

Hence, range of the data is 55.

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step-by-step explanation: