Question

Question 1 (1 point)

For each of the following variables, identify the level of measurement (nominal, ordinal, interval, or ratio).
(I) Satisfaction level on a survey (e.g. very dissatisfied, satisfied, very satisfied, etc.)
(II) Year of high school graduation

Question 1 options:

	1) (I) Ordinal , and (II) Ordinal
	2) (I) Interval , and (II) Interval
	3) (I) Ordinal , and (II) Interval
	4) (I) Ratio , and (II) Nominal
	5) (I) Interval , and (II) Nominal

Question 2 (1 point)

Choose the description which best describes the shape of this boxplot.

Question 2 options:

	1) Left-skewed
	2) Bimodal
	3) Contaminated
	4) Right-skewed
	5) Symmetric

Question 3 (1 point)

The five-number summary for a dataset on Grade Point Average is given in the table below. Using this information, calculate the percent of values below 1.06.

Question 3 options:

	1) 50%
	2) 75%
	3) 25%
	4) 100%
	5) 0%

Question 4 (1 point)

Suppose it is known that the mean and standard deviation of the scores on a statistics final are 74.45 and 5.75, respectively. Calculate an interval that is symmetric around the mean such that it contains approximately 95% of scores. Assume that the scores have a normal distribution.

Question 4 options:

	1) (80.2, 68.7)
	2) (85.95, 62.95)
	3) (74.45, 5.75)
	4) (68.7, 80.2)
	5) (62.95, 85.95)

Answer 1

Q.1.

I.Satisfaction level on a survey (e.g. very dissatisfied, satisfied, very satisfied, etc.)

This is ordinal variable. Order of satisfaction matters but we cannot quantify by how much one level differs from the other for example difference between very satisfied and satisfied is not same with the difference between satisfied and dissatisfied.

II.Year of high school graduation

This is interval scale. Since year of high school graduation is numerical . There is order and we know exact difference between the values. . But 0 year is not defined .

So option 3 is correct .

Q2.

Box plot is missing

Q3.

Table is missing

Q4.

= 74.45 ,   = 5.75

So the interval = [ -Z/2=0.025 * , +Z/2=0.025 * ] = [ 74.45 - 1.96 * 5.75 , 74.45 + 1.96 * 5.75 ] = [63.18, 85.72 ]

[62.95, 85.95] Option 5 is correct .

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