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Find the mean of the data summarized in the given frequency distribution. The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. Score Students 50-59 60-69 70-79 80-89 90-99 57828 12

Find the mean of the data summarized in the given frequency distribution. The test scores of 40 students are summarized in the frequency distribution below. Find the mean score. Score Students 50-59 60-69 70-79 80-89 90-99 57828 12

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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To find the mean of the data summarized in the given frequency distribution, follow the steps below. The test scores of 40 students are summarized in the frequency distribution table as follows: | Score | Students | |-------|----------| | 50-59 | 5 | | 60-69 | 7 | | 70-79 | 8 | | 80-89 | 12 | | 90-99 | 8 | 1. **Find the midpoint of each score range**: - Midpoint of 50-59 is (50+59)/2 = 54.5 - Midpoint of 60-69 is (60+69)/2 = 64.5 - Midpoint of 70-79 is (70+79)/2 = 74.5 - Midpoint of 80-89 is (80+89)/2 = 84.5 - Midpoint of 90-99 is (90+99)/2 = 94.5 2. **Calculate the weighted sum of the midpoints**: - (54.5 * 5) + (64.5 * 7) + (74.5 * 8) + (84.5 * 12) + (94.5 * 8) - = 272.5 + 451.5 + 596 + 1014 + 756 - = 3090 3. **Find the total number of students**: - 5 + 7 + 8 + 12 + 8 = 40 4. **Calculate the mean score**: - Mean = (Weighted Sum) / (Total Number of Students) - Mean = 3090 / 40 = 77.25 Thus, the mean score of the test scores is 77.25.
Transcribed Image Text:To find the mean of the data summarized in the given frequency distribution, follow the steps below. The test scores of 40 students are summarized in the frequency distribution table as follows: | Score | Students | |-------|----------| | 50-59 | 5 | | 60-69 | 7 | | 70-79 | 8 | | 80-89 | 12 | | 90-99 | 8 | 1. **Find the midpoint of each score range**: - Midpoint of 50-59 is (50+59)/2 = 54.5 - Midpoint of 60-69 is (60+69)/2 = 64.5 - Midpoint of 70-79 is (70+79)/2 = 74.5 - Midpoint of 80-89 is (80+89)/2 = 84.5 - Midpoint of 90-99 is (90+99)/2 = 94.5 2. **Calculate the weighted sum of the midpoints**: - (54.5 * 5) + (64.5 * 7) + (74.5 * 8) + (84.5 * 12) + (94.5 * 8) - = 272.5 + 451.5 + 596 + 1014 + 756 - = 3090 3. **Find the total number of students**: - 5 + 7 + 8 + 12 + 8 = 40 4. **Calculate the mean score**: - Mean = (Weighted Sum) / (Total Number of Students) - Mean = 3090 / 40 = 77.25 Thus, the mean score of the test scores is 77.25.
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