I need to check my results of the f(m-x)2

This table shows the distribution of winning times in the Kentucky Derby (a horse race) over 62 years.

Kentucky Derby Winning Times, 1930-2016

(seconds)

From To f

119 < 120 1

120 < 121 2

121 < 122 10

122 < 123 15

123 < 124 12

124 < 125 10

125 < 126 7

126 < 127 3

127 < 128 2

Total 62

(a) Fill in the highlighted cells in the table below. (Round your answers to 2 decimal places.)

From To Freq(f) Midpoint (M) fxm f(m-x)2

119 < 120 1 119.50 119.50

120 < 121 2 120.50 241.00

121 < 122 10 121.50 1,215.00

122 < 123 15 122.50 1,837.50

123 < 124 12 123.50 1,482.00

124 < 125 10 124.50 1,245.00

125 < 126 7 125.50 878.50

126 < 127 3 126.50 379.50

127 < 128 2 127.50 255.00

Total 62 7653.00

Average =

123.43

Standard Deviation =

1.76

CV =

1.43

%

(b) State whether the following statement is true or false?

The raw data would show us the years when the winning times were much longer than the average.

multiple choice 1

True

False

(c-1) Do you think it likely that the distribution of times within each interval might not be uniform?

multiple choice 2

Yes

No

(c-2) This distribution appears to be:

multiple choice 3

Skewed right

Symmetric

Skewed left