Homework Help is Here – Start Your Trial Now!
Math
Statistics
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
See similar textbooks
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS