Question

For the scenarios listed below supply the appropriate level of measurement.

a. The six colors of milk chocolate M&M’s. _______________

Blue Brown Green Orange Red Yellow

b. The high temperature (in Fahrenheit) in LA during the past week. _______________

87 86 84 79 76 82 81

c. The top four teams in the final 2019 CFB Playoff Committee Poll. _______________

1. LSU 2. Ohio State 3. Clemson 4. Oklahoma

d. The weights (in pounds) of a sample of large mouth bass. _______________

2.2 3.5 2.9 4.1 3.8 2.9 4.5 3.4

If the sample variance for a given set of data is given as 9 feet^2 , what is sample standard deviation for the same data (include units)? ____________________

Answer 1

a. The appropriate level of measurement is nominal.

Since, the observations are classified according to the colours(names). Nominal level is categorical, only have six categories of colors.

b. The appropriate level of measurement is interval scale. Since the data does not have absolute zero.

That is 0 degree Fahreinheit also exist, and negative value of highest temperature also exist.

c. The appropriate level of measurement is ordinal:

Since the data is in order, the four teams are order from 1 to 4.

d. The appropriate level of measurement for such data is ratio scale.

Since, it contains absolute of zero, that is weight can not be zero. Here the ratio is possible.

That is if weight of one person is 50 pounds and other have 25 pounds, that means one is two times heavier than other.

e. If variance is v=9 ft^2 then standard deviation is:

s=sqrt(v)=3ft