Explanation Given: In an examination given to a class of 20 students, the following test scores were obtained: 40 45 50 50 55 60 60 75 75 80 80 85 85 85 85 90 90 95 95 100 Approach: Write the expression to obtained the mean score. Mean score = ∑ all scores number of students Median is obtained when all the values are arrange in ascending order and middle value is selected, that is median is the average of ( N 2 ) th term and ( N 2 + 1 ) th term. Here, N is the total number of terms. Mode is the most commonly repeated value. Calculation: The total number of readings is 20 . The mean score is, Mean score = ( 40 + 45 + 50 + 50 + 55 + 60 + 60 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 95 + 100 ) 20 = 74 Therefore, the mean score is 74 . The most repeated score is 85 that is it occurs four times. Therefore, the mode score is 85 To determine (b). The least representative of the set of scores in between mean, median or mode central tendency.

12th Edition

ISBN: 8220103649001

Author: Tan

Publisher: CENGAGE L

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Chapter 8.2, Problem 45E

To determine

(a).

The mean (or average) score, the mode, and the median score.

To determine

(b).

The least representative of the set of scores in between mean, median or mode central tendency.

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Chapter 8.2, Problem 44E

Chapter 8.2, Problem 46E

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(a). The mean (or average) score, the mode, and the median score.

Solution Summary: The author calculates the mean score, the mode, and the median score in an examination given to a class of 20 students.