The following table gives the distribution of income of 100 families in a village. Calculate the standard deviation: Income Rs. 0-1000 1000-2000 2000-3000 3000-4000 4000-5000 5000-6000 No. of Families 18 26 30 12 10 4

Explanation

To calculate the standard deviation of the given income distribution, we will follow these steps:

### Step 1: Create a frequency table with mid-values
We need to find the mid-values (Xi) for each income class and create a table.

| Income Range (Rs.) | No. of Families (fi) | Mid-value (Xi) |
|---------------------|----------------------|-----------------|
| 0 - 1000 | 18 | 500 |
...