Find the Coefficient of variation for the following numbers :

7, 5, 9, 3, 6
(A) 33.33
(B) 66.66
(C) 3
(D) 300

Question

Find the Coefficient of variation for the following numbers :

7, 5, 9, 3, 6
(A) 33.33
(B) 66.66
(C) 3
(D) 300

Accepted Answer

> [!TLDR]
> CV = (SD ÷ Mean) × 100 = (2 ÷ 6) × 100 = 33.33%.

### Step 1 — Mean
Data: 7, 5, 9, 3, 6.
$$\bar x = \frac{7+5+9+3+6}{5} = \frac{30}{5} = 6$$

### Step 2 — Standard deviation
Deviations from 6: $1, -1, 3, -3, 0$; squared: $1, 1, 9, 9, 0$, sum $= 20$.
$$\sigma = \sqrt{\frac{\sum (x-\bar x)^2}{n}} = \sqrt{\frac{20}{5}} = \sqrt{4} = 2$$

### Step 3 — Coefficient of variation
$$CV = \frac{\sigma}{\bar x}	imes 100 = \frac{2}{6}	imes 100 = 33.33\%$$ …

Coefficient of Variation

Coefficient of Variation

Step 1 — Mean

Step 2 — Standard deviation

Step 3 — Coefficient of variation

Step 1 — Mean

Step 2 — Standard deviation

Step 3 — Coefficient of variation

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