Find the means of

Find the means of
x 4 5 6 7 8 9
f 4 3 3 5 3 2

Right Answer is:

6.3

SOLUTION

To find the mean of the given data, we need to calculate the weighted average. Here, the frequencies (f) represent the weights of the corresponding values (x).

Steps to calculate the weighted mean:

1.  Multiply each value (x) by its corresponding frequency (f):

  • 4 * 4 = 16
  • 5 * 3 = 15
  • 6 * 3 = 18
  • 7 * 5 = 35
  • 8 * 3 = 24
  • 9 * 2 = 18

2. Add up all the products: 16 + 15 + 18 + 35 + 24 + 18 = 126

3. Add up all the frequencies: 4 + 3 + 3 + 5 + 3 + 2 = 20

4. Divide the sum of the products by the sum of the frequencies:

Mean = 126 / 20 = 6.3

Therefore, the mean of the given data is 6.3.

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