Finding the Mean of a Frequency Distribution ...

Question

Finding the Mean of a Frequency Distribution In Exercises 49–52, approximate the mean of the frequency distribution.

Social Media The average daily amounts of time (in minutes) spent on Snapchat

Accepted Answer

Hey everyone, let's take a look at this question together. A group of hobbyists recorded the number of minutes they spent gardening on a given day. The data collected is grouped into the following frequency distribution, where we have our table of the time spent in minutes and the frequency. Approximate the mean number of minutes spent gardening. Is it answer choice A 78? Answer choice B 78.8, answer choice C 70.8, or answer choice D 71.8. So in order to solve this question, we have to determine the mean number of minutes that were spent gardening by using our data in the frequency distribution. And so the first step to approximate the mean number of minutes spent gardening is to calculate the midpoints for each class. which we can do so by using the midpoint formula, which is the lower limit, plus the upper limit divided by 2. And so for the midpoint for the first class, we have 0 plus 29 divided by 2, which is equal to 14.5. So 14.5 is the midpoint for the first class, and using the rest of the data in our frequency distribution. We can calculate the midpoint for the remaining classes, and then after calculating the midpoint for all of the different classes, we can multiply each midpoint by its frequency, giving us the following values where we have our time spent in minutes, which are the different class intervals, the frequency for each class interval, the midpoint for each class. And then our frequency multiplied by midpoint, which is F multiplied by x values, and then we can take the sum of our F multiplied by X values, giving us 3,309. And using these values, we can then approximate the mean by using the formula where the mean is equal to the sum of our F multiplied by X values divided by the. The sum of our frequency values, which the sum of our F multiplied by X values are 3,309, and our sum of the frequency is 42. Therefore, our mean is equal to 3,309 divided by 42, which is approximately 78.8. Therefore, the approximate mean number of minutes spent gardening is 78.8. Which looking at our answer choices, we can identify is answer choice B. So answer choice B is 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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Finding the Mean of a Frequency Distribution In Exercises 49–52, approximate the mean of the frequency distribution.

Social Media The average daily amounts of time (in minutes) spent on Snapchat

Key Concepts

Mean of a Frequency Distribution

Class Midpoint

Frequency

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Finding the Mean of a Frequency Distribution In Exercises 49–52, approximate the mean of the frequency distribution.Social Media The average daily amounts of time (in minutes) spent on Snapchat