Question 2: For each of the following data sets, classify into the following, an

Question

Question 2: For each of the following data sets, classify into the following, and give a brief explanation for each choice: i Quaitaiveox Qualitative Discrete or Continuous Nomal, Ordinal, Interval, or Ratio Low temperature on the day of the winter solstice at a certain location, in C, over 20 consecutive b) Number of years, out of the last 20 years, when the low temperature on the day of the winter solstice c Rankings from 1-50, of coldest locations, based upon the number of years out of the last 20 years when years. was below 0 °C, at 50 different locations the low temperature on the day of the winter solstice was below 0 °C, with 1 - location with most such days and 50location with fewest such days.

Explanation / Answer

a)

(i)

Since temperature can be measured so it is quantitative variable.

(ii)

Since it can take any value so it is a continuous variable.

(iii)

Since zero does not mean absence of temperature so it is interval level variable.

b)

(i)

Since numbers of years can be measured so it is quantitative variable.

(ii)

Since number of years are countable so it is a discrete variable.

(iii)

Since zero means absence of number of years have low temeparture below 0 degree so it is ratio level variable.

c)

(i)

It is qualitative variable.

(ii)

NA

(iii)

Since we can define ordering between the ranking so it is ordinal level variable.

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