Hourly Earnings Refer to the data set in Exercise 26 and the b...

Question

Hourly Earnings Refer to the data set in Exercise 26 and the box-and-whisker plot you drew that represents the data set.

b. What percent of the employees made more than $23.39 per hour?

Accepted Answer

Hello, everyone. Let's take a look at this question together. The box and whisker plot shown represents the weekly sales in units of its 28 sales representatives. What percentage of the sales representatives sold more than 55 units in a week? And here we have our box and whisker plot of the weekly sales or the number of units sold, and we want to know, is the percentage of the sales representatives who sold more than 55 units in a week, answer choice A 25%, answer choice B, 50%, answer choice C 75%, or answer choice D, 100%. So, in order to solve this question, we have to recall how to read a box and whisker plot to determine what percentage of the sales representatives sold more than 55 units in a week. And so looking at our box and whisker plot, since we want to determine the Percentage of the sales representatives who sold more than 55 units in a week, we have our 55 units, which is represented by this first point in the box and whisker plot, which we know represents the first quartile or Q1. And our Q1, which is represented at the 55 units, marks the 25th percentile, and this tells us that 25% of the sales representatives sold 55 units or less. However, we are trying to determine the percentage who sold more than 55 units, and since 25% represents 55 units or less, we know that the remaining 100% minus that 25%, which is 75% represents those who sold more than 55 units. Therefore, 75% of the sales representatives sold more than 55 units in a week, which makes answer choice C the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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Hourly Earnings Refer to the data set in Exercise 26 and the box-and-whisker plot you drew that represents the data set.

b. What percent of the employees made more than $23.39 per hour?

Key Concepts

Box-and-Whisker Plot

Percentile

Calculating Percentages

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Hourly Earnings Refer to the data set in Exercise 26 and the box-and-whisker plot you drew that represents the data set.b. What percent of the employees made more than $23.39 per hour?