Question

(a) which histogram is the closest to being uniform?
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 unimodal?
histogram a histogram b histogram c
(d) which histogram is skewed to the right the most?
histogram a histogram b histogram c

Explanation:

• Uniform Histogram: A uniform histogram has bars of approximately equal height. Looking at the histograms, Histogram B has bars that are more evenly distributed in height compared to A (which has a decreasing trend) and C (which has peaks and valleys).
• Symmetric Histogram: A symmetric histogram can be divided into two mirror - image halves. Histogram C has a shape that is closer to being symmetric (with a peak around 7 - 8 and some symmetry in the distribution of bars on either side) compared to A (which is skewed) and B (which is more uniform).
• Unimodal Histogram: A unimodal histogram has a single peak. Histogram A has a single peak at 0 - 1, while Histogram B is more uniform (no single distinct peak) and Histogram C has a peak around 7 - 8 but also some other relatively high bars.
• Skewed to the Right: A right - skewed histogram has a longer tail on the right. Histogram A has a long tail on the right (as the bars get shorter as the x - value increases), while Histogram B is uniform and Histogram C has a more symmetric or left - skewed (if we consider the left part has some shorter bars) appearance.

Answer:

(a) Histogram B
(b) Histogram C
(c) Histogram A
(d) Histogram A