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The six measurements that follow are furnace temperatures recorded on successive batches in a semiconductor manufacturing process (units are degrees Fahrenheit): 953, 950, 948, 955, 951, 955. (a) Calculate the sample mean, sample variance, and sample standard deviation. (b) Find the range and median. How much could the largest temperature measurement increase without changing the median value? (c) Find Q1, Q3, and the IQR.

The six measurements that follow are furnace temperatures recorded on successive batches in a semiconductor manufacturing process (units are degrees Fahrenheit): 953, 950, 948, 955, 951, 955. (a) Calculate the sample mean, sample variance, and sample standard deviation. (b) Find the range and median. How much could the largest temperature measurement increase without changing the median value? (c) Find Q1, Q3, and the IQR.

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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The six measurements that follow are furnace temperatures recorded on successive
batches in a semiconductor manufacturing process (units are degrees Fahrenheit): 953,
950, 948, 955, 951, 955.
(a) Calculate the sample mean, sample variance, and sample standard deviation.
(b) Find the range and median. How much could the largest temperature measurement
increase without changing the median value?
(c) Find Q1, Q3, and the IQR.
(d) Now we have a new data point added which is 2000. Recalculate the sample mean,
sample variance, sample standard deviation, median, range, Q1, Q3, and IQR. Which
numerical summaries are robust to the outlier?

 

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