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Measures of Position Assessment

Total questions: 20

Worksheet time: 18mins

Name
Class
Date
1.

Find the first quartile (Q1) for the data set: 10, 20, 30, 40, 50, 60, 70, 80.

(a)  

2.

What is the first quartile (Q1) of the data set: 3, 7, 8, 12, 14, 18, 20?

(a)  

3.

Calculate the interquartile range (IQR) for the data set: 5, 15, 25, 35, 45, 55, 65.

(a)  

4.

Calculate the third quartile (Q3) for the following data: 5, 10, 15, 20, 25, 30, 35, 40.

(a)  

5.

Calculate the median for the data set: 3, 7, 8, 12, 14, 18, 20, 22.

(a)  

6.

What is the median of the following data set: 1, 3, 5, 7, 9, 11, 13?

(a)  

7.

What is the range of the following data set: 5, 15, 25, 35, 45?

(a)  

8.

What is the range of the data set: 15, 22, 8, 30, 25?

(a)  

9.

Identify any outliers in the data set: 2, 4, 6, 8, 10, 100.

(a)  

10.

Maria scored in the 85th percentile on a test, what does this indicate about her performance compared to her classmates?

a)

Maria performed better than 85% of her classmates.

b)

Maria scored exactly at the average level of her classmates.

c)

Maria performed worse than 85% of her classmates.

d)

Maria performed better than 15% of her classmates.

11.

Determine the interquartile range (IQR) for the data set: 10, 12, 14, 16, 18, 20, 22, 24.

a)

10

b)

6

c)

12

d)

8

12.

Using the data set: 4, 5, 6, 7, 8, 9, 10, identify the outliers if any exist.

a)

No outliers exist.

b)

10 is an outlier.

c)

6 and 8 are outliers.

d)

4 is an outlier.

13.

If April Jhon scored in the 90th percentile on a standardized test, what does this indicate about his performance compared to his classmates?

a)

April Jhon performed worse than 90% of his classmates.

b)

April Jhon scored below the average level of his classmates.

c)

April Jhon performed better than 10% of his classmates.

d)

April Jhon performed better than 90% of his classmates.

14.

If a score of 75 is at the 60th percentile, what percentage of scores are below 75?

a)

80%

b)

70%

c)

60%

d)

50%

15.

Interpret the 90th percentile in a set of test scores.

a)

The 90th percentile score is the score that separates the top 10% of test scores from the rest.

b)

The 90th percentile score is the average of all test scores.

c)

The 90th percentile score is the lowest score in the top 10% of test scores.

d)

The 90th percentile score indicates the median score of the test results.

16.

Identify the outliers in the following data set: 1, 2, 3, 4, 5, 100, 200.

a)

4, 5

b)

1, 2, 3

c)

100, 200

d)

2, 3, 4, 5

17.

If Jhon Paul is in the 30th percentile, what does this say about his performance relative to others?

a)

Jhon Paul performed better than 70% of others.

b)

Jhon Paul is in the top 30% of their class.

c)

Jhon Paul performed equally to 30% of others.

d)

Jhon Paul performed better than 30% of others and worse than 70%.

18.

If a student is in the 75th percentile, what does this indicate about their performance compared to their peers?

a)

The student performed worse than 25% of their peers.

b)

The student performed equally to 75% of others.

c)

The student is in the bottom 25% of their class.

d)

The student performed better than 75% of their peers.

19.

Calculate the quartiles for the following data: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

a)

Q1 = 1, Q2 = 5, Q3 = 10

b)

Q1 = 4, Q2 = 6, Q3 = 9

c)

Q1 = 3, Q2 = 5.5, Q3 = 8

d)

Q1 = 2, Q2 = 4, Q3 = 6

20.

If a student scored in the 40th percentile on a test, what does this indicate about their performance compared to their peers?

a)

The student performed better than 40% of their peers and worse than 60%.

b)

The student is in the top 40% of their class.

c)

The student performed equally to 40% of others.

d)

The student performed better than 60% of their peers.