If the sample follows a normal distribution, does this make sense? Why?

Question

If the sample follows a normal distribution, does this make sense? Why?

Mean 70.84444
Standard Deviation (s) 2.77381
Skewness -0.29293
Kurtosis -0.39053
Lowest Score 64
Highest Score 76
Distribution Range 12
Total Number of Scores 45
Number of Distinct Scores 18
Lowest Class Value 64
Highest Class Value 78.99
Number of Classes 5
Class Range 3

Answer 1

Yes, it makes sense. This is because the normal distribution is a symmetrical distribution with a bell-shaped curve, and it is characterized by its mean and standard deviation. In this case, the sample has a mean of 70.84444 and a standard deviation of 2.77381, which are typical parameters for a normal distribution. The skewness and kurtosis values indicate that the distribution is close to being normal, as they are both close to zero. The range of scores and class range are also consistent with a normal distribution. Therefore, it is reasonable to assume that the sample follows a normal distribution.