Which of the following histograms would best be approximated by a normal distribution?

Choice B is correct

Step-by-step explanation:

The normal distribution has extensive applications in statistics. The distribution is characterized by a symmetric bell-shaped density curve. Most of the observations or data points fall in the middle of the distribution while both the right and left tails are equally longer.

The histogram that can be approximated by a normal distribution must meet the above conditions.

The histogram in alternative A is skewed to the right since most of the values fall in the lower end of the distribution. A skewed distribution is not symmetric.

The histogram in choice C is approximately uniformly distributed since most of the observed values have an approximately equal frequency. Each of the values is approximately equally likely. The uniform distribution is not symmetric.

The histogram in D follows no know pattern and nevertheless it lacks the symmetric property.

The histogram in B is approximately symmetric in distribution since most of the observed data values fall in the middle of the distribution while the left and right tails are nearly equal. This histogram can thus be approximated by a normal distribution.

the answer is d. 75%

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