Question

find the mean of the following frequency distribution: score:1,2,3,4,5,6,7. frequently :. 5,9,12,17,14,10,6​

Answer 1

Mean = 4.1

Explanation:

Let the scores be denoted by x

Given the following data;

Scores (x) = 1, 2, 3, 4, 5, 6, 7

Frequency, F = 5, 9, 12, 17, 14, 10, 6

Total number, n = sum of frequency

`Total \; number, n = 5 + 9 + 12 + 17 + 14 + 10 + 6`

Total number, n = 73

`F(x) = (1*5) + (2*9) + (3*12) + (4*17) + (5*14) + (6*10) + (7*6)`

`F(x) = 5 + 18 + 36 + 68 + 70 + 60 + 42`

F(x) = 299

`Mean = \frac {F(x)}{n}`

`Mean = \frac {299}{73}`

Mean = 4.1

Therefore, the mean of this frequency distribution is 4.1.