Consider a data set containing the following values. 88 96 72 84 95 100 92 90

The mean of the preceding values is 89.625. The deviations from the mean have been calculated as follows:
-1.625 6.375 -17.625 -5.625 5.375 10.375 2.375 0.375

Required:
a. If this is sample data, the sample variance is ?? and the sample standard deviation is??
b. If this is population data, the population variance is?? and the population standard deviation is??
c. Suppose the largest value of 106 in the data was misrecorded as 100. If you were to recalculate the variance and standard deviation with the 100 instead of the 106, your new values for the variance and standard deviation would be?

72 is the answer to this problem

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.