A data set of examination scores is grouped as given below. The mean score is 55 and the median score is 58.
Score
30–40
40–50
50–60
60–70
70–80
80–90
f
6
9
13
17
10
5
Using the information above, choose the statement that correctly gives the mode (nearest whole number) and describes the skewness of the distribution.
(a) Mode ≈64; distribution is negatively skewed
(b) Mode ≈61; distribution is negatively skewed
(c) Mode ≈64; distribution is positively skewed
(d) Mode ≈55; distribution is symmetric