Standard Deviation

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Show your work for each problem.

1.
What does standard deviation measure?
1. a)The difference between the largest and smallest values
2. b)The average of the data
3. c)How spread out the data is from the mean
4. d)The largest value in the data
2.
If a data set has a standard deviation of , what can you conclude?
1. a)The mean is zero
2. b)The data contains negative numbers
3. c)All values are the same
4. d)There are no values in the data
3.
If the variance of a data set is , what is the standard deviation?
4.
If the standard deviation is , what is the variance?
5.
Data set A: Data set B: Both have mean . Which has the larger standard deviation?
1. a)Data set A
2. b)Data set B
3. c)They have the same standard deviation
4. d)Cannot be determined
6.
Find the mean of:
7.
Calculate the standard deviation of: (Mean = )
8.
Stock A has returns with . Stock B has . Which stock is riskier?
1. a)They have the same risk
2. b)Stock A
3. c)Stock B
4. d)Cannot determine from this information
9.
For the data , calculate the standard deviation.
10.
Data: (Mean = ). What is the sum of squared deviations?
11.
Calculate the standard deviation of: (Mean = )
12.
If you add to every value in a data set, what happens to the standard deviation?
1. a)It stays the same
2. b)It becomes
3. c)It doubles
4. d)It increases by
13.
If you multiply every value in a data set by , what happens to the standard deviation?
1. a)It doubles
2. b)It stays the same
3. c)It quadruples
4. d)It is halved
14.
Calculate the standard deviation: (Mean = )
15.
Factory A makes bolts with mm. Factory B makes bolts with mm. How many times more consistent is Factory A?