Multiple choice

The given table shows the marks scored (out of 10) by some students in maths test. ||| |---|---| | Marks| Frequency| |---|---| | 4| 5| | 5| 4| | 6| 8| | 7| 4| | 8| 10| | 9| 12| | 10| 5| | Total| 48| What is the median of data?

  1. 10

  2. 9

  3. 8

  4. 7
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C Correct answer
Explanation

Total frequency is 48. The median is the average of the 24th and 25th values. Cumulative frequencies: 4(5), 5(9), 6(17), 7(21), 8(31). Both 24th and 25th values fall in the marks category of 8.

AI explanation

To find the median, first calculate the cumulative frequencies: 5, 9, 17, 21, 31, 43, 48. Since there are 48 values, the median is the average of the 24th and 25th values. Both these values fall in the marks interval of 8, which covers the 22nd to the 31st positions. Therefore, the median mark is 8.

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