For the following examples, discuss the shape of the distribution by giving a valid explanation.

(a) The mean score on a mathematics test was 67 and the median was 44.

(b) In a sample of 100 infants, the average number of hours slept was 18 and the median was 22.

(c) The most frequently occurring scores in a distribution are at the lowest and the highest points.

(d) In an experiment, the average time taken to complete a trial is 30 seconds. The median is also 30 seconds.

(e) The average calories consumed by an adult in a day are 2,300 and the median is 1,300.