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Chapter 1: Q 87. (page 75)

Quiz grades Joey’s first 14 quiz grades in a marking period were as follows:

(a) Calculate the mean. Show your work.

(b) Suppose Joey has an unexcused absence for the 15th quiz, and he receives a score of 0. Recalculate the mean. What property of the mean does this illustrate?

Short Answer

Expert verified

Part (a) 85

Part (b) 79.333 and non-resistant property of mean.

Step by step solution

01

Part (a) Step 1. Given information.

The given data is shown below:

02

Part (a) Step 2. Find the mean.

n=14x¯=∑i=1nxin=86+84+91+75+78+80+74+87+76+96+82+90+98+9314=119014=85

03

Part (b) Step 1. Find the mean including Joey's unexcused absence for the 15th quiz.

n=15x¯=∑i=1nxin=86+84+91+75+78+80+74+87+76+96+82+90+98+93+015=119015≈79.3333

This shows the property of mean named non-resistant property because the mean is influenced by the unexcused absence of Joy.

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