Question 1

Which of the following is an example of data measured at the nominal level?

Accepted Answer

The brands of smartphones owned by students

Question 2

A researcher records the satisfaction levels of patients as 'excellent', 'good', 'satisfactory', and 'unsatisfactory'. What is the highest level of measurement for this data?

Accepted Answer

Ordinal scale

Question 3

Which of the following statements about the interval scale is TRUE?

Accepted Answer

It has equal intervals between values but does not have a true zero point.

Question 4

A chemistry exam is scored out of 100 points, and students receive scores such as 80, 68, 92, and 20. What is the level of measurement for these exam scores?

Accepted Answer

Ratio scale

Question 5

Which of the following best describes relative frequency?

Accepted Answer

The ratio of the number of times a value occurs to the total number of outcomes.

Question 6

Given the following frequency table for hours worked by students: 3 hours (4 students), 4 hours (5 students), 5 hours (6 students), 6 hours (3 students), 7 hours (2 students). What is the relative frequency for students who worked 5 hours?

Accepted Answer

$$ \frac{6}{20} = 0.3 $$

Question 7

If the cumulative relative frequency for a class interval is 0.85, what does this mean?

Accepted Answer

85% of the data values are less than or equal to the upper boundary of this class interval.

Question 8

Which of the following is NOT a characteristic of data measured at the ratio scale?

Accepted Answer

It does not have a true zero point.

Question 9

A hospital records the body temperatures of patients in degrees Fahrenheit. What is the level of measurement for this data?

Accepted Answer

Interval scale

Question 10

Suppose you have the following cumulative relative frequencies for height intervals in a sample of 100 soccer players: 0.05, 0.15, 0.23, 0.40, 0.63, 0.89, 0.99, 1.00. What percentage of players are shorter than 67.95 inches?

Accepted Answer

40%

Question 11

Which of the following is a correct interpretation of a cumulative relative frequency of 1.00 in a frequency table?

Accepted Answer

All data values have been accumulated; 100% of the data is included.

Question 12

A survey asks respondents to select their favorite color from a list. What type of data is being collected?

Accepted Answer

Qualitative, nominal

Question 13

In a study, the heights of students are measured in centimeters. What type of data are these heights?

Accepted Answer

Quantitative, continuous

Question 14

A teacher ranks students as 'first', 'second', and 'third' based on their exam scores. What is the level of measurement for these rankings?

Accepted Answer

Ordinal scale

Question 15

Which of the following is a key difference between interval and ratio scales?

Accepted Answer

The ratio scale has a true zero point, while the interval scale does not.

Question 16

A frequency table for a data set has the following relative frequencies: 0.15, 0.25, 0.30, 0.20, 0.10. What is the sum of the relative frequencies?

Accepted Answer

$$ 0.15 + 0.25 + 0.30 + 0.20 + 0.10 = 1.00 $$

Question 17

A researcher wants to compare the heights of two groups of athletes. Which level of measurement is most appropriate for this comparison?

Accepted Answer

Ratio scale

Question 18

If a data set contains the following values: 2, 3, 3, 4, 5, 5, 5, 6, 7, what is the frequency of the value 5?

Accepted Answer

3

Question 19

Which of the following is an example of ordinal data?

Accepted Answer

Movie ratings: 'poor', 'average', 'good', 'excellent'

Question 20

A cumulative relative frequency table shows that 0.63 of the data is less than or equal to a certain value. If the sample size is 100, how many data points are less than or equal to this value?

Accepted Answer

$$ 0.63 	imes 100 = 63 $$

Levels of Measurement and Frequency Tables in Statistics

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