Question

The following table shows the marks obtained by 41 students of a class. Find the median and mean marks. Using empirical formula, calculate it's mode. Marks obtained. 15. 17. 20. 22. 25. 30. No of students: 2. 5. 10 12. 8. 4

Answer 1

The mean and median marks obtained by 41 students of a class is 21.92 and 22 respectively.

The mode obtained by emperical formula is 22.16

*MEAN*

Mean = a + ( sum (fidi)/ sum (fi) )

Mean = 22 + (-3)/41

Mean = (902 - 3) / 41

Mean = 21.92

*MEDIAN*

n = 41 (ODD)

Median = ((n + 1)/2)th term

Median = ((41 + 1)/2)th term

Median = (42/2)th term

Median = 21st term

Median = 22

*MODE*

(By Emperical formula)

Mode = 3Median - 2Mean

Mode = 3(22) - 2(21.92)

Mode = 66 - 43.84

Mode = 22.16

Answer 2

Answer:

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