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.
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 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
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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