Standard Deviation

Question 1

A missing data value from a set of data has a z-score of –2.1. Fred already calculated the mean and standard deviation to be and . What was the missing data value? Round the answer to the nearest whole number.

Revolt · Accepted Answer

39

Question 2

Abby is collecting rainfall data. She finds that one value of the data set is a high-value outlier. Which statement must be true?

Revolt · Accepted Answer

The outlier will increase the standard deviation of the data set.

Question 3

The weekly salaries of a sample of employees at the local bank are given in the table below.EmployeeWeekly SalaryAnja$245Raz$300Natalie$325Mic$465Paul$100What is the variance for the data?Variance:

Revolt · Accepted Answer

17,507.5

Question 4

A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1.3. What does a z-score of 1.3 mean?

Revolt · Accepted Answer

The data point is 1.3 standard deviations away from 12.

Question 5

The number of cars sold at a dealership over several weeks is given below.14, 23, 31, 29, 33What is the standard deviation for this set of population data?Standard deviation:

Revolt · Accepted Answer

6.9

Question 6

Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes. Which statistic should she use?

Revolt · Accepted Answer

standard deviation

Question 7

The mean ages with standard deviations of four swim teams at a swim club are given below.TeamMeanStandard DeviationStars164.1Dolphins181.5Giants140.3Mackerels152.3Which statement is most likely to be true?

Revolt · Accepted Answer

The ages of the Stars are the most dispersed from the team’s mean.

Question 8

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data?

Revolt · Accepted Answer

standard deviation

Question 9

Fiona recorded the number of miles she biked each day last week as shown below.4, 7, 4, 10, 5The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week?

Revolt · Accepted Answer

Sigma squared = StartFraction (4 minus 6) squared + (7 minus 6) squared + (4 minus 6) squared + (10 minus 6) squared + (5 minus 6) squared Over 5 EndFraction

Question 10

The monthly mean salaries and standard deviations of four college students are given below.StudentMeanStandard DeviationClarissa$34512.53Abi$5988.99Kaila$81215.29Shenika$2087.67Which statement must be true?

Revolt · Accepted Answer

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Standard Deviation Answers

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