In: Statistics and Probability
Question 2: For each of the following data sets, classify into the following, and give a brief explanation for each choice:
i. Quantitative or Qualitative
ii. Discrete or Continuous
iii. Nominal, Ordinal, Interval, or Ratio
a) Low temperature on the day of the winter solstice at a certain location, in °C, over 20 consecutive years.
b) Number of years, out of the last 20 years, when the low temperature on the day of the winter solstice was below 0 °C, at 50 different locations.
c) Rankings from 1-50, of coldest locations, based upon the number of years out of the last 20 years when the low temperature on the day of the winter solstice was below 0 °C, with 1 = location with most such days and 50 = location with fewest such days. Need help with this question thanks !!!
ANSWER:
2) Brief explanation for each choice.
a) Low temperature on the day of the winter solstice at a certain location, in °C, over 20 consecutive years.
i) Quantitative or Qualitative:
Since temperature can be measured so it is quantitative variable.
ii) Discrete or Continuous:
Since it can take any value so it is a continuous variable.
iii) Nominal, Ordinal, Interval, or Ratio:
Since zero does not mean absence of temperature so it is interval level variable.
b) Number of years, out of the last 20 years, when the low temperature on the day of the winter solstice was below 0 °C, at 50 different locations.
i) Quantitative or Qualitative:
Since numbers of years can be measured so it is quantitative variable.
ii) Discrete or Continuous:
Since number of years are countable so rt is a discrete variable.
iii) Nominal, Ordinal, Interval, or Ratio:
Since zero means absence of number of years have low temperature below 0 degree so it is ratio level variable.
c) Rankings from 1-50, of coldest locations, based upon the number of years out of the last 20 years when the low temperature on the day of the winter solstice was below 0 °C, with 1 = location with most such days and 50 = location with fewest such days.
i) Quantitative or Qualitative:
It is qualitative variable.
ii) Discrete or Continuous:
NA
iii) Nominal, Ordinal, Interval, or Ratio:
Since we can define ordering between the ranking so rt is ordinal level variable.