**Moments about Origin in Term of Moments about any Point:**

**Method I:** Convert the moments about a in terms of moments about mean and then obtain moments about origin.

**Method II:** Obtain by the formula.

**Example:1 **The arithmetic mean of a series is 22 and first four central moments are 0,81,-144 and 14817. Find the first four moments (i) about assumed 25 and (ii) about origin.

**Solution: **

(i) Moments about assumed mean a = 25:

(ii) Moments about origin:

**Example:2 **The first four moments of a frequency distribution about the value 4 are -1.5.1.7,-30 and 108. Calculate the moments about origin.

**Solutions:** Let v′r = rth moment about 4. then