Question

11. 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)? Why?

Answer 1

(i)

Explanation:

Given that the mean value of the distribution is 1.1, then we can safely assume that the peak value will be reside around one with a variability measure, standard (1.5) represents changes in distribution away from the mean value. The could be to either side of the distribution. However, the cannot be a negative value for the number of courses taken, hence, the maximum value we can have to the left is 0. (figures to the far left of the distribution are negative). This means that the curve will fall towards the right, (positive direction hence giving a right skewed distribution.