Question

Data

The data from the Survey conducted at the beginning of our course about the entry, Height reported in inches, are collected. Complete each of the problems below.

59           51.5        63           60           63           63           59           60           61           61.2        62           62           62           64           64.8        67.8        68           69           72

Construct by hand of a piece of paper both grouped frequency and grouped relative frequency distributions. Use 60.0 in. as the lower class limit of the first class and 3.0 in. as class width

Answer 1

Given data is Height reported in inches.

The minimum in the data is 51.5 and maximum=72.

Therefore, we have to use 50.0 inch as the lower class limit of the first class.

Therefore, the grouped frequency and grouped relative frequency distributions is:

Height(in inches) frequency(N) relative frequency(f/N)

50.0-53.0 1 1/19=0.05

53.0-56.0 0 0/19=0.00

56.0-59.0 0 0/19=0.00

59.0-62.0 6 6/19=0.32

62.0-65.0 8 7/19=0.42

65.0-68.0 1 1/19=0.05

68.0-71.0 2 2/19=0.11

71.0-74.0 1 1/19=0.05

Total N=19 1.00

Here, the upper class limit is not included in the same class.