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Kunal Kumar · Answer 1 · 2022-09-13T17:22:27+0000

Answer:

The sample mean year is 1261 A.D.

The standard standard deviation is of 46 A.D.

Explanation:

Sample mean:

Sum of all values divided by the number of values. So

x = (1271+1187+1194+1250+1268+1316+1275+1317+1275)/(9) = 1261.4

Rounding to the nearest whole number, the sample mean year is 1261 A.D.

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

$s = \sqrt{((1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2)/(8)} = 45.8$

Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.

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