Question

True or false? A histogram and a relative frequency histogram, constructed from the same data, always have the same basic shape. Choose the correct answer below. O A. False. The two histograms can have very different shapes depending on the distribution of the data. O C. False. The histograms use different scales on the y-axis, resulting in completely different shapes. O B. True. They will both have the same shape and the same vertical scale. They will dffer only in the scale used on the horizontal axis. O D. True. A relative frequency histogram will have a different scale on the y-axis but the same shape as a regular histogram.

Answer 1

A. False

C. False

B. False

D. True

Explanation:

Frequency histogram is denote the actual frequency of each observation or different class- intervals whereas Relative frequency distribution shows the fraction of that frequency to the total frequencies or the percent of that frequency to the total.

Thus the shape of both histogram are same.

A. False.

C. False

Since, Scale of the y-axis is different. But they has same shape.

B. False

Since, vertical scale is different for both histogram and horizontal scale is same.

D. True