Question

Each of the following three datasets represent IQ Scores for three random samples of different sizes. The
population mean is 100 population standard deviation is 15. Compute the sample mean, median and
standard deviation for each sample size:

9) Using the Sample From Problem Eight Above Calculate the Mean of the Sample Means of The Following: Random Sample1 106 98 102 140 103

Random Sample2 092 124 087 093 097

Random Sample3 098 083 121 130 089

Random Sample4 103 070 107 072 098

Random Sample5 100 108 097 081 088

Random Sample6 102 121 114 090 103

Question: What does this mean reflect and why is it important?

Answer 1

Using Excel command

For mean "=average(select data)"

For standard deviation "=stdev.s(select data)

Answers:

	Sample 1	Sample 2	Sample 3	Sample 4	Sample 5	Sample 6
	106	92	98	103	100	102
	98	124	83	70	108	121
	102	87	121	107	97	114
	140	93	130	72	81	90
	103	97	89	98	88	103
Mean	109.8	98.6	104.2	90	94.8	106
Median	103	93	98	98	97	103
Standard Deviation	17.1231	14.6390	20.4132	17.6494	10.5214	11.9373

Question: What does this mean reflect and why is it important?

The mean reflects the average of  IQ Scores random samples of different sizes. The mean is important as this will helps in knowing the average IQ group of each sample group and higher the mean will imply the higher IQ of that sample group. Here Sample 1 will have higher IQ Scores as compared to other groups as mean of sample 1 mean is greater than all other samples.