Standard Deviation Answers

9 verified answers1 views
3

Which formula is used to calculate the standard deviation of sample data?

A
s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
Option A
B
sigma squared = StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction
Option B
C
Sigma = StartRoot StartFraction (x 1 minus mu) squared + (x 2 minus mu) squared + ellipsis + (x N minus mu) squared Over N EndFraction EndRoot
Option C
D
x = StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction
Option D
4

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

A
Abby will use a different formula for calculating the standard deviation.
B
The outlier will increase the standard deviation of the data set.
C
The spread of the graph of the data will not change.
D
Abby will not use the mean when calculating the standard deviation.
6

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?

A
The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
B
The monthly salary of Kaila is less spread out than the monthly salary of Abi.
C
The monthly salary of Abi is less spread out than the monthly salary of Shenika.
D
The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
9

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?

A
The ages of the Mackerels are the most dispersed from the team’s mean.
B
The ages of the Stars are the most dispersed from the team’s mean.
C
The ages of the Dolphins are the most dispersed from the team’s mean.
D
The ages of the Giants are the most dispersed from the team’s mean.

Did you find these answers helpful?

Standard Deviation Answers — Algebra 2 MP 234 CHS