GATE CE 2022 Set 1 — Question 8
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Engineering Mathematics → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
Correct answer
(B) mode median mean
Solution
From the frequency chart, we can extract the following data:
| Marks () | Frequency () | Cumulative Frequency () | |
|---|---|---|---|
| 3 | 3 | 3 | 9 |
| 4 | 9 | 12 | 36 |
| 5 | 11 | 23 | 55 |
| 6 | 7 | 30 | 42 |
| 7 | 14 | 44 | 98 |
| 8 | 2 | 46 | 16 |
| 9 | 4 | 50 | 36 |
| Total |
1.Mode: The mark with the highest frequency. The highest frequency is 14, which corresponds to marks 7. So, Mode = 7.
2.Median: The median is the value at the position. Looking at the cumulative frequency, the value falls in the group with marks 6. So, Median = 6.
3.Mean: . So, Mean = 5.84.
Comparing the values: , which means mode > median > mean. This corresponds to option (B).Continue learning with Success Tracker
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