Suppose a teacher wants to analyze the test sco... - SS1 Economics Construction of frequency distribution Question
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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