AnswersFL-1200330-Algebra 2 Sem 2 - FlexRepresenting Data

Standard Deviation Answers

20 verified answers
1
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The data set on the right represents a sample of the population✔ the population.

A
a sample of the population
B
✔ the population
2
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Which formula should be used to calculate the variance? ⇒ C

Answer:

C

3

What is the variance?

Answer:

32

4

Question text not available

Answers:
Selection 1:864
Selection 2:29.4
5

What is the variance? 29.432.9✔ 8641080

Answers:
Selection 1:864
Selection 2:29.4
6

What is the standard deviation? ✔ 29.432.9127.4432

A
✔ 29.4
B
32.9
C
127.4
D
432
7

A contractor records the areas, in square feet, of several houses in a neighborhood to determine data about the neighborhood. Which formula should be used to calculate the standard deviation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Why does the formula use “n – 1” in the denominator?

A
The data is a sample and is expected to be more dispersed from the mean.
B
The data is a sample and is expected to be less dispersed from the mean.
C
The data is a population and is expected to be more dispersed from the mean.
D
The data is a population and is expected to be less dispersed from the mean.
9

A set of data has a high-value outlier. How do you expect the standard deviation to change when the outlier is removed? Would the result be different if the data had a low-value outlier instead? Explain.

Answer:

The standard deviation will decrease when the outlier is removed. Standard deviation represents the spread of data from the mean. Both highvalue and lowvalue outliers increase the spread of a data set. Therefore, removing either a highvalue or a lowvalue outlier decreases the spread from the mean, which results in a lower standard deviation.

10

Check each of the components below that you included in your response.

A
The standard deviation will decrease when the outlier is removed.
B
Standard deviation represents the spread of data from the mean.
C
Removing a high-value outlier decreases the spread of data from the mean.
D
Removing a low-value outlier decreases the spread of data from the mean.
E
In both cases the standard deviation decreases.
11

Which of the following represents the numerator in the calculation of variance and standard deviation?

A
(225)2 + (–425)2 + (–275)2 + (325)2 + (75)2 + (–75)2 = 423,750
B
(650)2 + (–150)2 + (–600)2 + (250)2 + (150)2 + (–300)2 = 980,000
C
(250)2 + (–400)2 + (–250)2 + (350)2 + (100)2 + (–50)2 = 420,000
12

What is the variance?

Answers:
What is the variance?:84000
What is the standard deviation, rounded to the nearest whole number?:290
13

What is the standard deviation, rounded to the nearest whole number?

Answer:

290

14

A data set has the following characteristics: Mean: 4.9 Median: 6 Mode: 6 Variance: 4 The z-score is the number of a data value is away from the .

Answers:
Blank 1:standard deviations
Blank 2:mean
15

Question text not available

Answer:

mean

16

Using the formula below, calculate the z-score for the listed data points.

Answer:

-1.95

17

Question text not available

Answer:

0.05

18

Question text not available

Answer:

0.8

19

Given that z [image 1] = –2 and z [image 2] = –1, which of the following do you know?

Question illustration
A
The variance is 10.
B
The standard deviation is 30.
C
The mean is 80.
D
The median is 40.
E
The data point x = 20 is 2 standard deviations from the mean.
F
The data point x = 50 is 1 standard deviation from the mean.
G
The data point x = 45 has a z-value of 1.5.
20

The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A?

A
It is equal to zx for set B.
B
It is less than zx for set B.
C
It is greater than zx for set B.

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