Quiz about Measure of center

Question 1

The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?

Accepted Answer

The mean will decrease

Answer

The median will decrease

Answer

The mean will increase

Answer

The median will increase

Question 2

Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34

Accepted Answer

7

Answer

23

Answer

31

Answer

34

Question 3

What measure of center is best to use when we have outliers?

Accepted Answer

median

Answer

mean

Answer

mode

Answer

range

Question 4

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

Accepted Answer

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

Answer

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

Answer

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

Answer

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

Question 5

Quartiles break the data set into _____ equal parts each representing 25% of the data.

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 6

If I tell you that you scored at the 55th percentile on your final exam, you would know:

Accepted Answer

55% of the class scored the same or worse than you did

Answer

You earned a 55% on the exam

Answer

You failed the exam

Answer

45% of the class scored worse than you did

Question 7

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.

Accepted Answer

75^thpercentile

Answer

70^th percentile

Answer

62.5^thpercentile

Answer

72.5^thpercentile

Question 8

What is the percentile rank of 74 in the following group of 15 data values? 35, 65, 68, 100, 23, 69, 74, 70, 61, 90, 85, 55, 30, 65, 80

Accepted Answer

73rd

Answer

90th

Answer

75th

Answer

27th

Question 9

Which of these could be a cumulative frequency graph?

Accepted Answer

Option B is correct

Answer

A.

Question 10

Find the cumulative frequencies.

Accepted Answer

28, 58, 70, 72, 74, 76

Answer

28, 56, 84, 100

Answer

33%, 37%, 20%, 7%, 7%, 7%

Answer

28, 30, 12, 2, 2, 2

Question 11

What is the purpose of z-scores?

Accepted Answer

to describe the exact location of a score within a distribution

Answer

to find the mean of the distribution

Answer

to describe the shape of the distribution

Answer

to find the standard deviation of the distribution

Question 12

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

Accepted Answer

True

Answer

False

Question 13

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

Accepted Answer

-2.00

Answer

+2.00

Answer

+1.25

Answer

-1.00

Question 14

z-scores is the standardized scores for X values

Accepted Answer

True

Answer

False

Question 15

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

Accepted Answer

2.26

Answer

16.45

Answer

-2.26

Answer

1.26

Question 16

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

Accepted Answer

-11.43

Answer

7.85

Answer

-2.33

Answer

4.16

Question 17

Researchers in an early childhood development organization investigated the number of words in the vocabularies of young children. Here are some summary statistics:

18 months, mean = 85 words, standard deviation = 80 words

24 months, mean = 275 words, standard deviation = 120 words

Miku (who is 18 months old) has a vocabulary of 93 words, while Tessa (who is 24 months old) has a vocabulary of 287 words.

Relative to their age, who has a larger vocabulary?

Accepted Answer

Miku and Tessa have equally sized vocabularies relative to their ages.

Answer

Miku

Answer

Tessa

Answer

It's impossible to say without seeing all of the individual vocabulary sizes.

Question 18

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

Accepted Answer

-1.43

Answer

1

Answer

1.43

Answer

11.5

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics