Question

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

Explanation:

(a) Bimodal Histogram

Step1: Recall bimodal definition

A bimodal histogram has two distinct peaks.

Step2: Analyze histograms

Histogram A has two distinct high - frequency regions (peaks). Histogram B has one main peak (unimodal), and Histogram C has multiple irregular peaks.

(b) Bell - Shaped Histogram

Step1: Recall bell - shaped definition

A bell - shaped histogram is symmetric and has a single peak in the middle.

Step2: Analyze histograms

Histogram B has a single central peak and is more symmetric compared to A (bimodal) and C (irregular).

(c) Symmetric Histogram

Step1: Recall symmetric definition

A symmetric histogram has a mirror - like image on either side of the center.

Step2: Analyze histograms

Histogram A has two peaks but is symmetric around the two - peak center. Histogram B is more bell - shaped (a type of symmetric in a sense of single - peak symmetry), but Histogram A's two - peak structure also shows symmetry. However, if we consider the classic symmetric (single - peak symmetric), Histogram B is a better fit. But if we consider bimodal symmetry, Histogram A. But usually, in basic statistics, when not specified, Histogram B (as a unimodal symmetric - like bell) is considered. But re - evaluating: Histogram A has two equal - height peaks and symmetric bars around them.

(d) Skewed to the Left

Step1: Recall left - skewed definition

A left - skewed histogram has a longer tail on the left.

Step2: Analyze histograms

Histogram C has a longer tail on the left side compared to A and B.

Answer:

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