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Estimate the mean score from the distribution above (round to 2 decimals if necessary) Freque ncy 10 Scor e 60- 64 65- 69 70- 74 75- 79 80- 84 6 2 1 1

Estimate the mean score from the distribution above (round to 2 decimals if necessary) Freque ncy 10 Scor e 60- 64 65- 69 70- 74 75- 79 80- 84 6 2 1 1

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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please answer question 10

**Question 10** Estimate the mean score from the distribution above (round to 2 decimals if necessary). **Table: Score Distribution** | Score Range | Frequency | |-------------|-----------| | 60 – 64 | 10 | | 65 – 69 | 6 | | 70 – 74 | 2 | | 75 – 79 | 1 | | 80 – 84 | 1 | **Explanation:** The table presents a frequency distribution of scores. Each score range is associated with a frequency, indicating how many individuals achieved scores within that range. To estimate the mean score: 1. Find the midpoint for each score range. 2. Multiply each midpoint by its corresponding frequency. 3. Sum all the products from step 2. 4. Divide the total by the sum of the frequencies. This calculation will provide an estimate of the mean score.
Transcribed Image Text:**Question 10** Estimate the mean score from the distribution above (round to 2 decimals if necessary). **Table: Score Distribution** | Score Range | Frequency | |-------------|-----------| | 60 – 64 | 10 | | 65 – 69 | 6 | | 70 – 74 | 2 | | 75 – 79 | 1 | | 80 – 84 | 1 | **Explanation:** The table presents a frequency distribution of scores. Each score range is associated with a frequency, indicating how many individuals achieved scores within that range. To estimate the mean score: 1. Find the midpoint for each score range. 2. Multiply each midpoint by its corresponding frequency. 3. Sum all the products from step 2. 4. Divide the total by the sum of the frequencies. This calculation will provide an estimate of the mean score.
Expert Solution
Step 1
score mid point(xi) frequency (fi) fixi
60-64 62 10 620
65-69 67 6 402
70-74 72 2 144
75-79 77 1 77
80-84 82 1 82
    n = 20 Σfixi = 1325
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