Question

aspect	diameter
north	27.8
north	14.5
north	39.1
north	3.2
north	58.8
north	55.5
north	25
north	5.4
north	19
north	30.6
north	15.1
north	3.6
north	28.4
north	15
north	2.2
north	14.2
north	44.2
north	25.7
north	11.2
north	46.8
north	36.9
north	54.1
north	10.2
north	2.5
north	13.8
north	43.5
north	13.8
north	39.7
north	6.4
north	4.8
south	44.4
south	26.1
south	50.4
south	23.3
south	39.5
south	51
south	48.1
south	47.2
south	40.3
south	37.4
south	36.8
south	21.7
south	35.7
south	32
south	40.4
south	12.8
south	5.6
south	44.3
south	52.9
south	38
south	2.6
south	44.6
south	45.5
south	29.1
south	18.7
south	7
south	43.8
south	28.3
south	36.9
south	51.6

1. Consider the variable diameter.

a. Identify what the variable type of diameter is. Be as specific as possible.

b. Identify the level of measurement of diameter.

c. Identify the name(s) of appropriate graph(s) for diameter that you learned to produce in R in Lab 2.

d. Identify all measures of center that can be applied to diameter. Then find the values

of those measures.

Answer 1

a. Diameter is a continuous numeric type. It is an integer variable.

b. Level of measurement of diameter is Ratio scale

c. For diameter, box plot and histogram can be plotted

d. Measure of center for diameter will be mean, median and mode.

Mean is the of sum of all values divided by the number of available values.

Mean = 29.1167

Median is the mid-value

Median = (N/2)^th item

Here, N = 60. Hence, Median is 60/2 = 30^th item

Arrange the given data in ascending order and find the 30^th item. 29.1 is the 30th item. Hence, Median = 29.1

Mode is the most occurring value

There are two values which repeats twice 13.8 and 36.90. There are 2 modes in this data