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Find the mean for the following frequency tables. a. Grade Frequency 49.5-59.5 59.5-69.5 69.5-79.5 79.5-89.5 89.5-99.5 2 3 8 12 5

Find the mean for the following frequency tables. a. Grade Frequency 49.5-59.5 59.5-69.5 69.5-79.5 79.5-89.5 89.5-99.5 2 3 8 12 5

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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**Title: Calculating the Mean of Frequency Tables** **Objective:** Learn how to calculate the mean from a frequency table. --- **Problem Statement:** Find the mean for the following frequency tables: --- **Frequency Table a:** | Grade | Frequency | |----------|-----------| | 49.5–59.5 | 2 | | 59.5–69.5 | 3 | | 69.5–79.5 | 8 | | 79.5–89.5 | 12 | | 89.5–99.5 | 5 | **Frequency Table b:** | Daily Low Temperature | Frequency | |-----------------------|-----------| --- **Explanation of Graphs/Diagrams:** **Frequency Table a Breakdown:** - The table shows the distribution of grades across different intervals with corresponding frequencies. - For example, the interval 49.5–59.5 has a frequency of 2, meaning two occurrences. - Such a table is used to observe and analyze the distribution of different grade ranges in a dataset. **Frequency Table b Breakdown:** - The second table layout is given but not filled. - It suggests we have to compile data about daily low temperatures and their frequencies. --- **Steps to Calculate the Mean from a Frequency Table:** 1. Compute the mid-point (x) of each interval. 2. Multiply each mid-point by its corresponding frequency (f) to get fx. 3. Sum all the fx values. 4. Sum all the frequencies. 5. Divide the total fx by the total frequency to get the mean. --- **Learn and Practice:** Try applying these steps to complete the calculations for Frequency Table a. --- **Conclusion:** Understanding how to read and interpret frequency tables and calculate mean values are essential skills in statistics that can offer meaningful insights into datasets. --- For more practice problems and detailed explanations, visit our Statistics section.
Transcribed Image Text:**Title: Calculating the Mean of Frequency Tables** **Objective:** Learn how to calculate the mean from a frequency table. --- **Problem Statement:** Find the mean for the following frequency tables: --- **Frequency Table a:** | Grade | Frequency | |----------|-----------| | 49.5–59.5 | 2 | | 59.5–69.5 | 3 | | 69.5–79.5 | 8 | | 79.5–89.5 | 12 | | 89.5–99.5 | 5 | **Frequency Table b:** | Daily Low Temperature | Frequency | |-----------------------|-----------| --- **Explanation of Graphs/Diagrams:** **Frequency Table a Breakdown:** - The table shows the distribution of grades across different intervals with corresponding frequencies. - For example, the interval 49.5–59.5 has a frequency of 2, meaning two occurrences. - Such a table is used to observe and analyze the distribution of different grade ranges in a dataset. **Frequency Table b Breakdown:** - The second table layout is given but not filled. - It suggests we have to compile data about daily low temperatures and their frequencies. --- **Steps to Calculate the Mean from a Frequency Table:** 1. Compute the mid-point (x) of each interval. 2. Multiply each mid-point by its corresponding frequency (f) to get fx. 3. Sum all the fx values. 4. Sum all the frequencies. 5. Divide the total fx by the total frequency to get the mean. --- **Learn and Practice:** Try applying these steps to complete the calculations for Frequency Table a. --- **Conclusion:** Understanding how to read and interpret frequency tables and calculate mean values are essential skills in statistics that can offer meaningful insights into datasets. --- For more practice problems and detailed explanations, visit our Statistics section.
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