Measurement Scales Paper

1. For the following scores, find the mean, median, and the mode. Which would be the most appropriate measure for this data set?

1. A fast-food restaurant asks customers to evaluate the drive-thru service as good, average, or poor. What level of data measurement is this classification?

2. Data from Likert scales and continuous (e.g. 1-10) rating scales are quantitative. Allows you to measure their feeling on a scale of 1

b. Ordinal: This is a measurement that represent the order of a particular stat. A good example of this would the placement in a contest, 1st, 2nd, and 3rd.

The data were analyzed by using the participants’ responses to the survey questions compared to DAP indicators and the total of the subscale of the E-TIP.

Interval-Level: Indicates the levels between categories, ranks them and specifies the amount between each rank; does not have a true zero (Ex: IQ

Ordinal data has the variables that include rank and satisfaction. An everyday example of ordinal data can be surveys.

~ Petrina and Horace will rate the bananas chosen for the sample on a scale from 1 to 5. The data collected will be ordinal. Using Petrina and Horace is valid because they both have a keen sensibility for the quality of bananas. Each of them has a broad experience in tasting bananas. They are capable of discerning many gradations of banana quality. They are reliable because they are both accounting professionals and can be trusted to accurately and precisely rate each banana they taste. Using Petrina and Horace is practical because their office is next to the warehouse where all the bananas are stored.

“1. The researchers analyzed the data they collected as though it were at what level of measurement? (Your choices are: Nominal, Ordinal, Interval/ratio, or Experimental)”

Based on the given sample of student test scores of 50, 60, 74, 83, 83, 90, 90, 92, and 95 after rearranging them from least to greatest. As the mean is based on the average of sum, the average of this sample is 79.67 or 80. The mode refers to numbers that appear the most in a sequence and in this case 83 and 90 both appear twice. Range calculates the difference between the largest and smallest number, which are 95 and 50 which have a difference of 45. The variance is the difference between the sum of squares divided by the sample size, which is the number in the sample minus one (Hansen & Myers, 2012), meaning it takes each number of the set and subtracts

Determine which level of measurement— nominal, ordinal, interval, or ratio—is used in the following examples.

4. What measurement scales would you have used on the survey that was part of the in-restaurant product tests?

Ordinal scales use labeling characteristics similar to nominal scales but in this case, it uses the numbers for the ability to order the data. This scale is a higher level of measurement and is used mostly to show the rank order of the items to be reviewed. The operations determine which is greater or lesser than another in the same list. For example, if there were a questionnaire about a person’s preference of restaurants, the questionnaire would give the respondent a few choices to review. If the example has five choices, the respondent would choose one to five with the number five as most desired. Then the individual will rank the most desired restaurant by placing the number five next to the name of the restaurant he or she prefers the most. This helps the questionnaire determine which restaurant is preferred greater than others. Then the measure of central tendency is the median, and the percentile would be used for measuring dispersion (McDaniel, 2006).

Measures of central tendency express what is happening in “the midrange of a group of scores” (Neukrug, 2011, p. 408). Three widely known measures of central tendency are the mode, median, and mean. “Although measures of central tendency do not tell you a lot about general trends in the whole group, they do a give you a sense of whether a known score is higher or lower than the mean,

Also its ‘centre’ can often be meaningfully represented by the Median and the variation can sometimes be measured by the Range or the Inter Quartile Range.