A researcher wanted to determine the number of televisions in households. He con

Question

A researcher wanted to determine the number of televisions in households. He conducts a survey of 40 randomly selected households and obtains the data in the accompanying table. Complete parts (a) through (h) below. (a) Are these data discrete or continuous? Explain O A. The given data are discrete because they can take on any real value. Click the icon to view the table of television counts. Table of television counts B. ° C. O D. The given data are discrete because they can only have whole number values. The given data are continuous because they can take on any real value. The given data are continuous because they can only have whole number values. 0 3 2 211 1 3P 3 21 3 21 3 2 2 1 1 3 1 11 2 (b) Construct a frequency distribution of the data Televisions Frequency Print Done (c) Construt a relative frequency distribution of the data. Televisions Relative F

Explanation / Answer

a) Clearly from the given data, we can see that the data is discrete because they could only take whole number values in { 0, 1, 2, 3, 4, 5 }

Therefore b) The given data is discrete because they can only have whole number values is the correct answer here.

b) The frequency distribution and the relative frequency distribution can be computed here as:

The frequency is computed by simple counting from the data and the relative frequency is computed by dividing the frequencies with the total sample size that is 40 here.

c) The relative frequency is computed in the last column of the above table.

Televisions Frequency Relative Frequency 0 2 2/40 = 0.05 1 15 15/40 = 0.375 2 12 12/40 = 0.3 3 8 8/40 = 0.2 4 2 2/40 = 0.05 5 1 1/40 = 0.025

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