Question

4) The weights (in ounces) of 14 different apples are shown below. Find the mode(s) for the given sample data. (If there is more than one modes, enter the largest value for credit. If there is no mode, enter 0 for credit.)

9, 11, 9, 8, 7, 9, 8,13, 8, 7, 9, 8, 8, 9

5) Andrew asked eight of his friends how many cousins they had. The results are listed below. Find the standard deviation of the number of cousins. Round your answer to one more decimal place than is present in the original data values.

4, 14, 13, 11, 8, 3, 5,5

6) Six college buddies bought each other Christmas gifts. They amounts they spent are shown below. What was the standard deviation of the amount spent? Round your answer to the nearest cent.

131.8, 149.65, 97.23, 59.89, 162.45, 139.74

Answer 1

4)

The mode is the value that appears the most often .

Given data set : 9, 11, 9, 8, 7, 9, 8,13, 8, 7, 9, 8, 8, 9

The values 8 and 9 apears 5 times each .

So the mode for the given data set is 8 and 9

But as the instruction given in the question ,

If there is more than one modes, enter the largest value for credit.

The largest value is 9 .

Therefore enter the value 9

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5)

Enter the data values in Excel .

and used the excel function to get sample standard deviation .

The function is    =STDEV( select all the data values )

so standard deviation = 4.3    ( rounded to one decimal )

Therefore the standard deviation of the number of cousins is 4.3

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6)

Enter the data values in Excel .

and used the excel function to get sample standard deviation .

The function is    =STDEV( select all the data values )

So standard deviation is 38.13 ( rounded to nearest cent )

Therefore the standard deviation of the amount spent was 38.13