Graphical Analysis In Exercises 9–12, determi...

Question

Graphical Analysis In Exercises 9–12, determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. Justify your answer.

Histogram displaying data distribution with bars representing frequency across intervals from 52.5 to 82.5.

Accepted Answer

Hello, everyone, let's take a look at this question together. What is the proximate shape of the distribution in this histogram? And here we have a histogram with the age group on the X axis and the frequency on the Y axis, and we have to determine what is the approximate shape of the distribution. Is it answer choice A, left skewed? And choice B uniform, answer choice C symmetric, or answer choice D, right skewed. So in order to solve this question, we have to recall what we have learned about the different distribution shapes to determine what best represents our histogram. And based on the provided histogram, we know that the histogram has a single peak in the center, which based on the data, That single peak is around the age group of 30 to 40, and we can also identify that the frequencies of the age groups decrease as you move away from the center towards both the lower and higher age groups. Therefore, the left and right sides of the distribution appear to be roughly mirror images of each other. So, based on our histogram, and that the frequencies of the age groups decrease as you move away from the center towards both the lower and higher age groups, resulting in a roughly mirror image on both sides of the histogram, we know that the approximate shape of the distribution is answer choice symmetric, as a symmetric shape best describes the distribution in this histogram. And all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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