INTRO COLLEGE LEVEL STATISTICS - Please explain your choice - M/C question Does

Question

INTRO COLLEGE LEVEL STATISTICS - Please explain your choice - M/C question

Does the frequency distribution appear to have a normal distribution? Explain. Choose the correct answer below. A. No; because the frequencies start low proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is not symmetric B. Yes because the frequencies start low, proceed to one or two high frequencies, then increase to a maximum, and the distribution is not symmetric. C. No. because the frequencies start low proceed to one or two high frequencies, then decrease to a low frequency, and the distribution is approximately symmetric D. Yes because the frequencies start low, proceed to one or two high frequencies then decrease to a low frequency, and the distribution is approximately symmetric

Explanation / Answer

Here we find that for the class 40 to 44 the frequency is 1 and for 45 to 49 it is 4. For the next class 50 to 54 the frequency is 10. 12 is the frequency for the class 55 to 59. We see that the trend of the frequency in increasing here 12 is the maximum frequency so this is the peak of the curve if we are going to plot the distribution and again we find the same way decreasing frequency trend as 10, 4 and 1. So 12 in middle, in left side we have 1,4,10 and in right side we have 10, 4, 1. So this is symmetrical. When the curve is symmetrical then we can say that the parent distribution of the given variable is normal.

Answer:

O D Yes, because the frequencies start low proceeds to one or two frequencies, then decrease to a low frequency, and the distribution is approximately symmetrical.

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