Question

Chapter 5, Review Exercise 11 (5 points) One term, about 700 Statistics 2 students at the University of California, Berkeley, were asked how many college mathematics courses they had taken, other than Statistics 2. The average number of courses was about 1.1; the SD was about 1.5. Would the histogram for the data look like (i), (ii), or (iii)

Answer 1

Answer:

The histograms are missing, but ill try to answer it nonetheless.

Here we have that the standard deviation is bigger than the mean, this means that we will not see one of the ends (the smaller one) of our bell.

And we have a normal distribution, so we have a gaussian bell.

We will have that the peak of our bell is at the value x =  1.1

The histogram will start with a kinda high value at x = 0, it will get to the maximum at x = 1.1 and it will decrease as a normal bell, and knowing that the distance between the mean value and the point where the bell almost is almost zero, is equal to 3 standard deviations, we can expect to see this at x = 1.1 + 3*1.5 = 1.1 + 4.5 = 5.6