Answer:
Mean = 4.1
Step-by-step 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
[tex] Total \; number, n = 5 + 9 + 12 + 17 + 14 + 10 + 6 [/tex]
Total number, n = 73
[tex] F(x) = (1*5) + (2*9) + (3*12) + (4*17) + (5*14) + (6*10) + (7*6) [/tex]
[tex] F(x) = 5 + 18 + 36 + 68 + 70 + 60 + 42 [/tex]
F(x) = 299
[tex] Mean = \frac {F(x)}{n} [/tex]
[tex] Mean = \frac {299}{73} [/tex]
Mean = 4.1
Therefore, the mean of this frequency distribution is 4.1.
