Question

I’m struggling with these practice questions. If anyone can explain the answers that would be great!

Salaries of the top ten CEOs in the United States Qualitative Quantitative Discrete Quantitative Continuous Nominal Ordinal Interval Ratio

Answer 1

1) SALARIES OF TOP TEN CEOs IN THE UNITED STATES

Salaries of top ten CEOs in the united states is ratio.

Ratio data is interval data with a defined zero point. That is, value of zero represents the total absence of the variable being measured.

2) IQ SCORES

IQ scores is interval scale of measurement.

An interval scale has ordered numbers with meaningful divisions.

An IQ score is probably best considered as falling at an interval level of measurement. Some argue that such scores are at the ordinal level, providing only an ordering of performance. But, given the large number of potential values (95% of the population falls between 70 and 130 on an IQ scale), the scores function well as interval-scaled values.

3) DISTANCE (IN MILES) TO A CLOSEST MOVIE THEATER

The distance (in miles) to a closest movie theatre is quantitative continuous.

Distance is a quantitative variable because it takes on numerical values with meaningful magnitudes. It is a continuous variable because, theoretically, distance could take on any value. Any value between any two values is a possibility.

4) NUMBER OF DOUGHNUTS SOLD EACH DAY

Number of doughnuts sold each day is quantitative discrete.

Discrete data arise from observations that can only take certain numerical values, usually counts. Thus number of doughnuts sold each day is quantitative variable because it has a numerical value with a meaningful order (i.e., 4 doughnuts is more than 2 doughnuts). Number of doughnuts sold each day is a discrete variable because responses can only be whole numbers.

5) RATINGS OF 8 LOCAL PLAYS (POOR, FAIR, GOOD, EXCELLENT)

Ratings of eight local plays is ordinal.

An ordinal variable is a categorical variable for which the possible values are ordered. Ratings of 8 local plays is categorical variable where the categories can be ordered (poor, fair, good, excellent). Thus it is ordinal.

6) COLORS OF BICYCLE SOLD

Colour of bicycle sold is nominal.

A nominal scale is a scale where no ordering is possible or implied except for alphabetical ordering (like blue, black, green, etc.,). In other words, the nominal scale is where data is assigned to a category. Thus colour of bicycle sold is nominal as no ordering can be done within the categories.

7) TIME IN CHECKOUT LINE AT THE GROCERY STORE

Time in checkout line at the grocery store is interval.

Interval data measured on a continuous scale and has no true zero point. Time moves along a continuous measure or seconds, minutes and so on and is without a zero point of time.

8) MOST WATCHED TELEVISION SHOW

The most watched television show is nominal.

A nominal scale is a scale where no ordering is possible or implied except for alphabetical ordering. In other words, the nominal scale is where data is assigned to a category. Thus colour of bicycle sold is nominal as no ordering can be done within the categories.

9) CAPACITY (IN CUBUC FEET) IN A TRACTOR TRAILER

The capacity (in cubic feet) in a tractor feet is ratio.

Ratio data is interval data with a natural zero point. Thus capacity is ratio since 0 feet is meaningful. That is, value of zero represents the total absence of the variable being measured.

10) POLITICAL PARTY PREFERENCE

The political party preference is nominal.

A nominal variable is a categorical variable where no ordering is possible or implied except for alphabetical ordering. In other words, the nominal scale is where data is assigned to a category. Thus political party preference (Republican, Democrat or Independent or Other) is nominal as no ordering can be done within the categories.