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Long Test-Measures of Position of Ungrouped Data

Total questions: 30

Worksheet time: 8hrs 30mins

Name
Class
Date
1.

What measure divides the data set into four equal parts?

a)

Percentile

b)

Decile

c)

Quartile

d)

Median

2.

Which measure divides the distribution into ten equal parts?

a)

Decile

b)

Percentile

c)

Quartile

d)

Median

3.

The first quartile of a data set is equal to which percentile?

a)

75th percentile

b)

50th percentile

c)

25th percentile

d)

10th percentile

4.

What is the median of the data set 6, 8, 11, 25, 15, 10, 2, 8, 16?

a)

8

b)

10

c)

15

d)

11

5.

Using Tukey’s Method, what is the first quartile of the values: 12, 15, 22, 23, 34, 8, 19, 17, 18?

a)

12

b)

12.5

c)

15

d)

13.5

6.

In the 2019 National Career Achievement Examination, what does it mean if a score is at the 90th percentile?

a)

The score is 90 points

b)

The score is higher than 89% of examinees

c)

The score is the 90th in position

d)

The score is higher than 90% of examinees

7.

What is the fifth decile of the number of Facebook users in millions: 25, 27, 28, 30, 30, 32, 35, 37, 37, 38, 38, 42, 50, 64, 76, 89, 130, 140, 190, 290?

a)

38.5 million

b)

40 million

c)

37 million

d)

38 million

8.

Which country has a greater number of Facebook users compared to the country in the 40th percentile?

a)

Turkey

b)

Colombia

c)

Bangladesh

d)

United Kingdom

9.

What does it mean if the average annual income of families in a region is at the 75th percentile?

a)

Families earn less than 75% of regions

b)

Families earn more than 75% of regions

c)

Families earn exactly 75% of regions

d)

Families earn the highest income

10.

James is analyzing the number of Facebook users in his research project. He wants to find out what the 80th percentile of the number of Facebook users is.

a)

76 million

b)

89 million

c)

130 million

d)

140 million

11.

Which of the following represents the median in the context of the Chinese zodiac story?

a)

Dragon

b)

Snake

c)

Horse

d)

None

12.

What is the first quartile of the data set: 9, 3, 5, 6, 8, 10, 11?

a)

6

b)

5.5

c)

7

d)

5

13.

How many scores are higher than the third quartile in the data set: 45, 50, 23, 34, 67, 81, 45, 11, 99, 86, 78, 17, 45, 34, 87, 56, 45?

a)

5

b)

8

c)

12

d)

11

14.

Sophia is studying the number of endangered animals in her region. She wants to find out what the 70th percentile of the number of endangered animals is. Can you help her?

a)

84

b)

70

c)

140

d)

300

15.

Which of the following measures indicates that 50% of the data is below it?

a)

Second Quartile

b)

Fourth Quartile

c)

First Quartile

d)

Third Quartile

16.

What is the position of the first quartile using the Mendenhall and Sincich Method for the data set: 5, 8, 9, 10, 11, 14, 15, 17, 18, 19, 21?

a)

9

b)

14

c)

10

d)

5

17.

What does it mean if a student's score is at the 99th percentile?

a)

The student scored higher than 99% of the students

b)

The student scored the highest

c)

The student scored 99 points

d)

The student is the 99th in position

18.

What is the third quartile of the data set: 4, 7, 9, 12, 15, 18, 20, 22, 25?

a)

22

b)

15

c)

18

d)

20

19.

Using the Mendenhall and Sincich Method, what is the median of the data set: 3, 5, 7, 9, 11, 13, 15?

a)

7

b)

6

c)

9

d)

8

20.

What is the 90th percentile of the data set: 10, 20, 30, 40, 50, 60, 70, 80, 90?

a)

80

b)

90

c)

85

d)

70

21.

The following are measures of position except

a)

Quartiles

b)

Deciles

c)

Percentiles

d)

Addition

22.

Quartiles are points that divide the data into four equal parts

a)

True

b)

False

c)

Maybe

d)

Not Sure

23.

The 2nd quartile is also equal to

a)

Lower quartile

b)

Middle quartile

c)

Upper quartile

d)

Mean

24.

Given the scores of 3, 4, 5, 5, 5, 7, 8, 8, and 9, what is the mode?

a)

4

b)

5

c)

6

d)

7

25.

The alternative formula to find the upper quartile is equal to ____

a)

Q1 = 14\frac{1}{4}  (n + 1)

b)

Q2Q_2   = 12\frac{1}{2}   (n + 1)

c)

Q3 = 34\frac{3}{4}  (n + 1)

d)

Q3 = (n + 1)

26.

It is a measure that divides the data into one hundred equal parts.

a)

Percentiles

b)

Deciles

c)

Quartiles

d)

Median

27.

It is a measure of position that divides the distribution into ten equal parts.

a)

Percentiles

b)

Deciles

c)

Quartiles

d)

Decimals

28.

Find the middle value in the scores 10, 14, 14, 23, and 2.

a)

2

b)

10

c)

14

d)

23

29.

Percentiles are points that divide the data into ____ equal parts.

a)

4

b)

5

c)

10

d)

100

30.

In a recent math test, Hannah, Abigail, and William received different scores. The following are true for measures of position regarding their scores except ...

a)

It shows where a certain data point or value falls in a sample or array of distribution.

b)

It can state whether a value is about the average, or whether it is unusually high or low compared to the data as a whole

c)

It can be a quartile, decile or percentile

d)

It is always available.