Statistics Formulas for Class 10

In class 10, the chapter statistics mostly deals with finding the mean median and standard deviation of grouped data.

(I) The mean of the grouped data can be found by 3 methods.

1. Direct Method: x̅ = ∑ni=1fixi∑ni=1fi, where fi xi is the sum of observations from value i = 1 to n And fi is the number of observations from value i = 1 to n
2. Assumed mean method : x̅ = a+∑ni=1fidi∑ni=1fi
3. Step deviation method : x̅ = a+∑ni=1fiui∑ni=1fi×h

(II) The mode of grouped data:

Mode = l+f1–f02f1–f0–f2×h

(III) The median for a grouped data:

Median = l+n2–cff×h

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