Question

eate and Interpret a Box-and-Whisker A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break Each employee took a different amount of time. 58 50 52 54 56 48 44 46 40 36 42 34 38 How many employees took a break longer than 49 minutes? Enter your answer in the box. employees N 1 2 3 4 5 72°F CI a * 10! Type here to search he

Answer 1

The question gives us a box plot with a minimum and maximum of 35 and 55 respectively along with a 25th, and 75th percentile of 37 and 49 respectively, while the median is 41.

- The box plot represents the number of minutes of break each of 27 employees took.

- We are asked to find the number of employees that took more than 49 minutes.

Step-by-step explanation

- The box plot has already been divided into the minimum, 25th percentile, 50th percentile, 75th percentile, and maximum values.

- This makes it easier to find the values corresponding to these metrics.

- For this question, we are asked to find the number of employees that took 49 minutes of break. Coincidentally, this number is at the 75th percentile of the data.

- This means that 75% of the people took breaks of 49 minutes or less. We are asked to find those who took more than 49 minutes.

- Thus, just taking (100 - 75)% of the total number of employees would give us the number of people that took more than 49 minutes of break. 100 represents the total number of employees, while 75 represents the number of people who used 49 minutes or less for their break. This is why we need to take the difference so that we get those who used more than 49 minutes.

- Thus, we can find the number of people that used more than 49 minutes as follows: