Answer to Question #275076 in Statistics and Probability for Elvish

Question

The raw data has been organised in the frequency table below.

games frequency

6 2

7 5

8 n

9 4

10 4

11 2

12 2

13 2

(a) Write down the value of n.

(b) Calculate the mean number of games played per set.

(c) What percentage of the sets had more than 10 games?

(d) What is the modal number of games?

Answer 1

a)

fequency of 8games:

$n=4$

b)

mean = $\sum x_if_i/N=9.08$

c)

number of sets having more than 10 games:

$2+2+2=6$

total number of sets:

$N=25$

percentage:

$6/25=0.24=24\%$

d)

modal number:

7 games (occurs 5 times)