Question

A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are as follows: 88 84 84 52 100 84 92 84 88 Calculate the sample size, n, and the sample mean, M.

Answer 1

Answer: Sample size n is 9.

The sample mean M is 84.

Step-by-step explanation:

Given : A professor gives a statistics exam.

The exam has 100 possible points.

The scores for the students in the second classroom are as follows:

88 84 84 52 100 84 92 84 88

Since , the number of scores of different students= 9

∴ Sample size is n= 9.

Now , Sample mean = $\dfrac{\text{Sum of all data values}}{\text{Sample size}}$

$=\dfrac{88+ 84 +84 +52 +100+ 84+ 92+ 84+ 88 }{9}\\\\=\dfrac{756}{9} =84$

Hence, the sample mean M is 84.

Answer 2

We have that the sample size, n, and the sample mean, M. is mathematically given as

• n=9
• M_n=88

From the question we are told

A professor gives a statistics exam.

• The exam has 100 possible points. The scores for the students in the second classroom are as follows: 88 84 84 52 100 84 92 84 88
• Calculate the sample size, n, and the sample mean, M.

Mean

Generally the equation for the  Mean is mathematically given as

$M=\sum/n\\\\\Therefore\\\\M=\frac{88 +84 +84+ 52+ 100+ 84+ 92+ 84+ 88 }{9}\\\\M=84$

Therefore

New mean

M_n=84+4

M_n=88

For more information on Mean visit

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