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Chapter 2: Q2.2 (page 40)

Explain the meaning of

a) Qualitative Variable

b) Discrete, Quantitative Variable

c) Continuous, Quantitative Variable

Short Answer

Expert verified

Qualitative can't be measured in numbers, Discrete Quantitative can be measured only in whole numbers, Continuous Quantitative Variable can be measured in both whole & non whole numbers. Step 1 : Basic Definitions

Step by step solution

01

Qualitative Variable 

Qualitative Variable is a variable that can't be measured in numerical units.

Examples are - Level of honesty, Intensity of love etc

02

Discrete Quantitative Variable

Quantitative Variables can be explained in numerical units

  • Discrete Quantitative Variable can be measured only whole numbers (non fractional & non decimal)
  • Quantitative Discrete examples are - Number of people (can be only 1,2,3...) ; & numbers on die (1,2,3,4,5,6)
03

Continuous Quantitative Variable 

Quantitative Variables can be explained in numerical units

  • Continuous Quantitative Variable can be measured in both whole & non whole (fractional & decimal) numbers.
  • Quantitative Continuous Variables are - Weight & height of people, which can be in form of 45.3 kg & 5.5 inch respectively.

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Explain the advantages and disadvantages of frequency histograms versus frequency distributions.

Explain the relative positioning of the bars in a histogram to the numbers that label the horizontal axis when each of the following quantities is used to label that axis.

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The Federal Reserve System publishes weekly figures for M2 money supply in the document Money Stock Measures. M2 includes such things as cash in circulation, deposits in checking accounts, nonbank traveller's checks, accounts such as savings deposits, and money-market mutual funds. The following bar chart provides data on the M2 money supply over 3months during one year.

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Old Faithful. Old Faithful is a geyser in Yellowstone National Park that erupts at relatively predictable intervals. Since 2000, the eruptions of Old Faithfull occur on average every 90 minutes. Information on the daily eruptions of Old Faithful can be found on the website of The Geyser Observation and Study Association (GOSA). The following data provide the times between eruptions, in minutes, for Old Faithful over a two-day period.

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106


a. Use cutpoint grouping with a first class of 60 -under 70 to construct a frequency histogram of the times between eruptions.

b. Identify the shape of the distribution with regard to modality.

c. Identify the shape of the distribution with regard to symmetry (or nonsymmetry).

d. If the distribution is unimodal and nonsymmetric, classify it as either right skewed or left skewed.
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