Use the frequency histogram
describe any patterns with t...

Question

Use the frequency histogram

describe any patterns with the data..

A frequency histogram showing roller coaster heights in feet, with the highest frequency at 125 feet.

Accepted Answer

Hi, everyone, let's take a look at this practice problem. This problem says the following histogram shows the weights and kilograms of a group of athletes. Use the histogram to describe any patterns or trends observed in the data. And below text we're given a histogram for the weights of our athletes, where we have the weights in kilograms along the x-axis and the frequency along the Y axis. And we have 6 different classes of weights. For the first class, we have 45 to 55, and it has a frequency of 50. For the next class, we have 55 to 65, and it has a frequency of 150. For the next class, we have 65 to 75, and it has a frequency. Of approximately 220. For the next class, we have 75 to 85, and it has a frequency of approximately 210. For the next class, we have 85 to 95, and it has a frequency of approximately 125. And for our last class, we have 95 to 105, and it has a frequency of 50. We also have 4 possible choices as our answers. For choice A, we have the histogram shows a fairly symmetric distribution with a peak near the center. For choice B, the histogram shows a positively skewed distribution with a peak at the lower end. For choice C, the histogram displays a uniform distribution with equal frequencies across all classes, and for choice D, the histogram shows a negatively skewed distribution with a peak at the higher end. Now, if you look at our histogram, it shows a fairly symmetric distribution, indicating that most athletes have weights near the center classes. Also, the classes with the highest frequencies. Which are the 65 to 75 class and the 75 to 85 class. Those appear in the center. And that suggests that the majority of athletes fall within these weight categories. We also see that the distribution gradually decreases as it moves away from the center, indicating fewer athletes with either very low or very high weights, and this pattern resembles a normal distribution, with most data clustering around the mean, which would be around the center. So based on that analysis, if we look at our answer choices, we see that the correct answer choice actually corresponds to answer choice A. The histogram shows a fairly symmetric distribution with a peak near the center. So I hope that this explanation has been useful, and I'll see you in the next video.

Use the frequency histogram
describe any patterns with the data..

Key Concepts

Frequency Histogram

Central Tendency

Data Distribution Patterns

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