Question

ere are three histograms.
histogram a
histogram b
histogram c
(a) which histogram is skewed to the left the most?
histogram a histogram b histogram c
(b) which histogram is the closest to being symmetric?
histogram a histogram b histogram c
(c) which histogram is best described as bimodal?
histogram a histogram b histogram c
(d) which histogram is the closest to being bell - shaped?
histogram a histogram b histogram c

Explanation:

(a)

A left - skewed (negatively skewed) histogram has a longer tail on the left side. Histogram B has a long tail on the left (low - value) side compared to A and C. Histogram A is more symmetric - looking in terms of skew direction, and Histogram C is bimodal. So Histogram B is skewed to the left the most.

A symmetric histogram has a shape where the left and right sides are approximately mirror images. Histogram A has a single peak and the bars on either side of the peak are relatively balanced in terms of height and distribution, more so than B (left - skewed) and C (bimodal).

A bimodal histogram has two distinct peaks. Histogram C has two clear peaks (around the 0 - 4 and 20 - 24 ranges approximately), while A has one peak and B has a single peak with a left - skew.

Answer:

B. Histogram B

(b)