The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is ans. 16/7 2 1/2 7/16

The mean of a frequency distribution can be calculated using the formula:

Mean = Σ(xi * fi) / Σfi

Where: xi = values of the variable fi = frequency of each value

Let's calculate the mean step by step:

1. Multiply each xi by its corresponding fi:

   21 = 2 32 = 6 13 = 3 51 = 5

2. Sum up these products:

   Σ(xi * fi) = 2 + 6 + 3 + 5 = 16

3. Sum up the frequencies:

   Σfi = 1 + 2 + 3 + 1 = 7

4. Divide the sum of the products by the sum of the frequencies to get the mean:

   Mean = Σ(xi * fi) / Σfi = 16 / 7

So, the mean of the given frequency distribution is 16/7.