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variance, and standard deviation....

Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work.

Errors Frequency

61 -63 19

64-66 17

67-69 5

70-72 10

73-75 12

Iam only stuck on the first one I think...and this is what I got so far...

Errors Frequency Midpoint fx x^2 x^2f

61-63 19 62 1178 361 6859

64-66 17 65 1105 289 4913

67-69 5 66 330 25 125

70-72 10 71 710 100 1000

73-75 12 72 864 144 1728

sum 63 336 4187 14625

mean 4187/336 = 12.461

Errors Frequency

61 -63 19

64-66 17

67-69 5

70-72 10

73-75 12

Iam only stuck on the first one I think...and this is what I got so far...

Errors Frequency Midpoint fx x^2 x^2f

61-63 19 62 1178 361 6859

64-66 17 65 1105 289 4913

67-69 5 66 330 25 125

70-72 10 71 710 100 1000

73-75 12 72 864 144 1728

sum 63 336 4187 14625

mean 4187/336 = 12.461

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