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Find standard deviation from expected values.

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Jesús
JesúsLv7
10 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

(a) Finding Expected Value, Variance, and Standard Deviation In use the given probability density function over the indicated interval to find the (a) expected value, 

(b) Variance using the alternative formula, and 

(c) Standard deviation of the random variable.

 

Which of the following is NOT a property of the standard deviation?

A) The value of the standard deviation is never negative
B) The standard deviation is a measure of the variation of all data values from the mean.
C) When comparing variation in samples with different means, it is good practice to compare the two sample standard deviations.
D) The units of the standard deviation are the same as the units of the original data.

Another measure of the spread of a data set is called the range. The find the range, subtract the smallest value from the largest value in a data set.

a. Find the rang  for the data set: 12, 18, 22, 28

b. Although the range is a measure of the spread of a data set, it does not take into account all the values of the data set, since it uses only the largest and smallest values. This is why we need an additional measure like the standard deviation. But the range can be used to estimate the standard deviation in certain cases. Use this formula to estimate the standard deviation for the data set in part a.

Standard deviation  

 

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