Question

Does the histogram appear to depict data that have a normal​ distribution?

A. The histogram does not appear to depict a normal distribution. The frequencies generally decrease to a maximum and then​ increase, and the histogram is symmetric.
B. The histogram appears to roughly approximate a normal distribution. The frequencies generally increase to a maximum and then​ decrease, and the histogram is symmetric.
C. The histogram appears to roughly approximate a normal distribution. The frequencies generally decrease to a minimum and then increase.
D. The histogram does not appear to depict a normal distribution. The frequencies generally increase and the histogram is symmetric.

Answer 1

Option B) The histogram appears to roughly approximate a normal distribution. The frequencies generally increase to a maximum and then​ decrease, and the histogram is symmetric.

Explanation:

We are given the following information in the question:

Yes, histograms can be used to depict the the normality of a distribution.

• Plotting a histogram would help us to visualize the data. The shape of the histogram helps us to see whether the distribution is normal or not.
• A normal distribution smooth, bell-shaped histogram.

• It represents an data set that has lots of observations concentrated in the middle, with the remaining observations are in the tails of histogram.
• If data is normal then, the frequencies first increases and then decrease, giving an approximate bell shape if the data is normally distributed.

Option B) The histogram appears to roughly approximate a normal distribution. The frequencies generally increase to a maximum and then​ decrease, and the histogram is symmetric.

Answer 2

B. The histogram appears to roughly approximate a normal distribution. The frequencies generally increase to a maximum and then​ decrease, and the histogram is symmetric.

Explanation:

The Graph of Normal Distribution is like a bell-shaped. Here the value of y is less for the lower value of x and then the value of y is increased for a larger value of x, but after some time value of y is again getting decrease as the value of x increases. For the Histogram to appear to a normal distribution, the graph of histogram must have the same nature. Thus option B is only the correct option.

The histogram is made up of columns bar with no gaps between bars with different labels of numeric data of different heights shows the size of the group of different labels.