find the mean median and mode. marks 1-10,11-20, 21- 30, 31- 40, 41-50,51-60 frequency- 4,3,7,6,3,2
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1-10 4 5.5 22 4
11-20 3 15.5 46.5 7
21-30 7 25.5 178.5 14
31-40 6 355 213 20
41-50 3 45.5 136.5 23
51-60 2 55.5 111 25
Total 25 997.5
Mean sigma FX /sigma f = 997.5/25 39.9
Med =20.5 +{12.5-7}/7*10
= 20.5+3.9 24.4
Mode 3med -2 mean 23.3
Asymmetrical data
11-20 3 15.5 46.5 7
21-30 7 25.5 178.5 14
31-40 6 355 213 20
41-50 3 45.5 136.5 23
51-60 2 55.5 111 25
Total 25 997.5
Mean sigma FX /sigma f = 997.5/25 39.9
Med =20.5 +{12.5-7}/7*10
= 20.5+3.9 24.4
Mode 3med -2 mean 23.3
Asymmetrical data
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