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Linear Transformations Use the five test scores of 65, 70,
Chapter 3, Problem 40E(choose chapter or problem)
Problem 40E
Linear Transformations Use the five test scores of 65, 70, 71, 75, and 95 to answer the following questions:
(a) Find the sample mean.
(b) Find the median.
(c) Which measure of central tendency best describes the typical test score?
(d) Suppose the professor decides to curve the exam by adding 4 points to each test score. Compute the sample mean based on the adjusted scores.
(e) Compare the unadjusted test score mean with the curved test score mean. What effect did adding 4 to each score have on the mean?
Questions & Answers
QUESTION:
Problem 40E
Linear Transformations Use the five test scores of 65, 70, 71, 75, and 95 to answer the following questions:
(a) Find the sample mean.
(b) Find the median.
(c) Which measure of central tendency best describes the typical test score?
(d) Suppose the professor decides to curve the exam by adding 4 points to each test score. Compute the sample mean based on the adjusted scores.
(e) Compare the unadjusted test score mean with the curved test score mean. What effect did adding 4 to each score have on the mean?
ANSWER:
Solution:
Step 1 of 5:
From the data we have
65, 70, 71, 75, and 95.
a). Using the given data we have to calculate the sample mean.
Mean,
= 75.2
Hence, the mean is 75.2.