Construction of frequency distribution - SS1 Economics Past Questions & Answers - page 1

1

What is the purpose of frequency distribution in economic analysis?

A

To organize data into classes

B

To calculate the mean

C

To find extreme values

D

To create a scatter plot

CORRECT OPTION: a
2

Which of the following is not a step to construct a frequency distribution

A

Determine the range of the data

B

Decide on the number of intervals (or classes)

C

Determine the average value of the set of data

D

Determine the width of the intervals

CORRECT OPTION: c
3

Suppose a teacher wants to analyze the test scores of their students in a math class. The scores range from 0 to 100, and there are 30 students in the class. The teacher groups the scores into intervals of 10 points each (0-9, 10-19, 20-29, and so on). The following table shows the frequency distribution of the test scores:

Interval

Frequency

0 - 9 

2

10-19

4

20-29

6

30-39

5

40-49

3

50-59

5

60-69

2

70-79

2

 

80-89

1

 

Find the percentage of students who scored less than 50 on the test.

 

To solve the problem, we need to add up the frequencies for the intervals 0-9, 10-19, 20-29, 30-39, and 40-49, since these are the intervals where the scores are less than 50. The total frequency for these intervals is:

2 + 4 + 6 + 5 + 3 = 20

Therefore, 20 out of the 30 students scored less than 50 on the test. To find the percentage, we divide 20 by 30 and multiply by 100:

(20/30) x 100 = 66.67%

So, 66.67% of the students scored less than 50 on the test.

 

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