Find the mean, median and mode for the following frequency table:

GIVEN:

FORMULA USED:

Mean =

Median =

Mode = Maximum number of terms

⇒ For Mean:

Mean =

∑xf = 50 + 240 + 350 + 450 + 370 + 220

= 1680

∑f = 5 + 12 + 14 + 15 + 10 + 4

= 60

Mean = = 28

⇒ For Median

Total frequency (N) = ∑f = 60

N/2 = = 30

Which lies in commutative frequency 31

Which is having value of x to be 25

∴ Median = 25

⇒ For Mode

Maximum number of terms(f) in above table is 15

15 terms are of value 30

∴ Mode = 30

CONCLUSION: The data is having Mean to be 28

Mode to be 30

Median to be 25