Answer to Question #63439 in Statistics and Probability for rorri

Question

The following data shows the different sizes of nails contained in a box bought by a
customer.


length(mm) Number of nails
10 to 14 10
15 to 19 12
20 to 24 18
25 to 29 16
30 to 34 4

(a) Find the followings:
i. Mean

ii. Median

iii. Standard deviation

(b) Calculate the Pearson’s coefficient of skewness and explain the distribution.

(c) Construct a cumulative frequency curve. From the cumulative frequency curve,
determine:

i. The first quartile

ii. The third quartile

iii. The percentage of nails with length exceeding 22mm.