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Measures of Position for Ungrouped Data Quiz

Total questions: 20

Worksheet time: 23mins

Name
Class
Date
1.

Identify the upper quartile for the given data using Linear Interpolation.

23, 34, 27, 7, 30, 26, 28, 31, 34

a)

30.5

b)

31.5

c)

32.5

d)

33.5

2.

The score points which divides the distribution in four equal parts.

a)

Decile

b)

Quartile

c)

Percentile

d)

Median

3.

Using the Mendenhall and Sincich Method, what is the 3rd quartile of the given data:

9, 11, 8, 9, 9, 14, 6, 5, 3, 16?

a)

8

b)

9

c)

11

d)

14

4.

How many percent corresponds Q3 if you will interpret it?

a)

25%

b)

50%

c)

75%

d)

90%

5.

The lower quartile is equal to

a)

50th percetile

b)

25th percentile

c)

2nd decile

d)

3rd quartile

6.

Which of the following is true about percentiles?

a)

They are used only for grouped data

b)

They divide the data into 10 equal parts

c)

They divide the data into 100 equal parts

d)

They are the same as quartiles

7.

Identify the upper quartile for the given data using the Mendenhall and Sincich Method.

23, 34, 27, 7, 30, 26, 28, 31, 34

a)

28

b)

31

c)

32.5

d)

34

8.

The median score is also the

a)

75th percentile

b)

5th decile

c)

3rd decile

d)

1st quartile

9.

What is the purpose of linear interpolation in statistics?

a)

To find the average of a data set

b)

To calculate the total of a data set

c)

To estimate values between two known values

d)

To classify data into groups

10.

In the context of ungrouped data, what does Q2 represent?

a)

The first quartile

b)

The median

c)

The third quartile

d)

The average

11.

What is the value of Q3 in the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15?

a)

15

b)

12

c)

10

d)

14

12.

How many percent corresponds P25 if you will interpret it?

a)

10%

b)

25%

c)

50%

d)

60%

13.

Use Linear Interpolation to solve this item.

If the 3rd decile is found in the 18.4th position, where X18 = 25 and X19 = 30, what is the 3rd decile?

a)

22.5

b)

26

c)

27

d)

27.5

14.

What does the term 'ungrouped data' refer to?

a)

Data that is averaged

b)

Data that is summarized

c)

Raw data that has not been classified

d)

Data that is organized into categories

15.

What is the upper quartile in the distribution?

80, 85, 86, 90, 93, 95, 96

a)

85

b)

90

c)

95

d)

96

16.

Which of the following measures of position, where exactly 25% of the distribution or data set are below it?

a)

1st Quartile

b)

2nd Quartile

c)

3rd Quartile

d)

7th Decile

17.

When a distribution is divided into hundred equal parts, each score point that describes the distribution is called

a)

Decile

b)

Quartile

c)

Percentile

d)

Median

18.

How many equal parts does decile divide the data into?

a)

10

b)

25

c)

100

d)

5

19.

Using Linear Interpolation, what is the 3rd decile of the given data:

45, 50, 23, 34, 67, 81?

a)

34

b)

35.1

c)

45

d)

50

20.

Using Mendenhall and Sincich Method calculate the value of Q1 for the data set: 1, 3, 5, 7, 9?

a)

3

b)

5

c)

1

d)

4