# Determine the level of measurement of the variable. Favorite color Choose the correct level of measurement. A) Interval B) Nominal C) Ratio D) Ordinal

Question
Measurement
Determine the level of measurement of the variable.
Favorite color
Choose the correct level of measurement.
A) Interval
B) Nominal
C) Ratio
D) Ordinal

2021-03-05
Step 1
The level of measurement of the variable “favorite color” is nominal level of measurement, that is, option (B). The nominal level of measurement can be classified as measurement of data where numbers are only used to classify the data and numbers do not have any quantitative meaning. The words, letters and the alpha-numeric symbols can also be used in this level of measurement.
Step 2
The option, “Ordinal” can be correct because the favorite color does not have a defined order. Similarly, the properties of ratio and interval level of measurement is not fulfilled by the variable “favorite color”.
Hence, option (B), “Nominal” is the correct level of measurement.

### Relevant Questions

Give the correct choices of these multiple choice questions in questions (a) and (b) and explain your choices (for example: why quantitative and not qualitative? Why neither and not discrete or continuous? Why ratio and not nominal, ordinal, or interval?
a.Question: Birth years of your family? Are these data quantitative or qualitative? Are these data discrete, continuous, or neither? What is the highest level of measurement of birth years? (Nominal, Ordinal, Interval, or Ratio?)
b.Question: Survey responses to the question “what is the gender of your first child?” Are these data quantitative or qualitative? Are these data discrete, continuous, or neither? What is the highest level of measurement associated with the gender measurements? (Nominal, Ordinal, Interval, or Ratio?)
A certain scale has an uncertainty of 3 g and a bias of 2 g. a) A single measurement is made on this scale. What are the bias and uncertainty in this measurement? b) Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? c) Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? d) As more measurements are made, does the uncertainty get smaller, get larger, or stay the same? e) As more measurements are made, does the bias get smaller, get larger, or stay the same?
The weight of an object is given as $$67.2 \pm 0.3g$$. True or false:
a) The weight was measured to be 67.2 g.
b) The true weight of the object is 67.2 g.
c) The bias in the measurement is 0.3 g.
d) The uncertainty in the measurement is 0.3 g.
What does a z-score of –1.5 mean?
A.The mean is 1.5 standard deviations less than the measurement.
B.There is an error in the measurement.
C.The measurement is 1.5 standard deviations less than the mean.
D.The variance cannot be calculated because the z-score is negative.
A certain scale has an uncertainty of 3 g and a bias of 2 g.
a) A single measurement is made on this scale. What are the bias and uncertainty in this measurement?
b) Four independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements? c) Four hundred independent measurements are made on this scale. What are the bias and uncertainty in the average of these measurements?
d) As more measurements are made, does the uncertainty get smaller, get larger, or stay the same?
e) As more measurements are made, does the bias get smaller, get larger, or stay the same?
Loretta, who turns eighty this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. Specifically, she is interested in her systolic blood pressure, which can be problematic among the elderly. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 133.0 mmHg, with a standard deviation of 5.1 mmHg.
Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five.
a) According to Chebyshev's theorem, at least $$?36\% 56\% 75\% 84\%\ or\ 89\%$$ of the measurements lie between 122.8 mmHg and 143.2 mmHg.
b) According to Chebyshev's theorem, at least $$8/9 (about\ 89\%)$$ of the measurements lie between mmHg and mmHg. (Round your answer to 1 decimal place.)
What are quantitative data measurements?
A. Measurements that are appropriate for any type of variable
B. Measurements of categorical variables and can be displayed as types or descriptions
C. Measurements that are appropriate in all experiments
D. Measurements of numerical variables and are displayed as numerical values
Standard deviation is an indication of the...
a. precision of one measurement
b. accuracy of one measurement.
c. precision of repeated measurements.