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Problem 1. Suppose a mean has been computed to be 92, but later it's discovered that 10 data items were inadvertently omitted. The mean of these 10 data items is 101, and the full data set has 37 data items. What is the actual mean of the full data set?

Problem 1. Suppose a mean has been computed to be 92, but later it's discovered that 10 data items were inadvertently omitted. The mean of these 10 data items is 101, and the full data set has 37 data items. What is the actual mean of the full data set?

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 solve question 1, I have solved question 2 but can't quite get question 1
**Problem 1:** Suppose a mean has been computed to be 92, but later it is discovered that 10 data items were inadvertently omitted. The mean of these 10 data items is 101, and the full data set has 37 data items. What is the actual mean of the full data set? **Problem 2:** Hortense Blumpstead claims that, while the average person (of those she's measured) is 66" tall, there is a lot of variation. Specifically, she says that in her data set, the standard deviation of height is 7", and that 10% of people are taller than 76" or shorter than 56". Is it possible to call Hortense out for making stuff up or making an error just on the basis of the information she reports? Or, is the scenario Hortense claims actually possible? Explain. (If it’s *not* possible, say why, and if it *is* possible, give an example data set.)
Transcribed Image Text:**Problem 1:** Suppose a mean has been computed to be 92, but later it is discovered that 10 data items were inadvertently omitted. The mean of these 10 data items is 101, and the full data set has 37 data items. What is the actual mean of the full data set? **Problem 2:** Hortense Blumpstead claims that, while the average person (of those she's measured) is 66" tall, there is a lot of variation. Specifically, she says that in her data set, the standard deviation of height is 7", and that 10% of people are taller than 76" or shorter than 56". Is it possible to call Hortense out for making stuff up or making an error just on the basis of the information she reports? Or, is the scenario Hortense claims actually possible? Explain. (If it’s *not* possible, say why, and if it *is* possible, give an example data set.)
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