Answered: The following are examination scores of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

The following are examination scores of 20 mathematics students: 25, 29, 30, 35, 16, 22, 42, 48, 19, 37, 39, 32, 27, 35, 50, 41, 48, 36, 23, 40. Answer the following questions.

a. What is the ungroup mean of the given scores?

b. What is the sum of the squared deviation from the mean? Include the decimal point if there is any.

c. What is the standard deviation of the given scores? Use the formula in the module to compute the standard deviation. Round off your answer to two decimal places.

d. What is the variance of the given scores? Round off your answer to two decimal places.

e. What is the ungroup median?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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