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A survey for 25 respondents was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.Stem    Leaves      3          2 44          0 3 4 7 8 9 9 95          0 1 1 2 3 4 56          1 2 5 6 67          0 18   9             2 Referring to the above stem and leaf display, what proportion of the respondents rated overall television quality with a rating of 80 or above?Question 17Answera.0.04b.0.00c.0.96d.1

Question

A survey for 25 respondents was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.Stem    Leaves      3          2 44          0 3 4 7 8 9 9 95          0 1 1 2 3 4 56          1 2 5 6 67          0 18   9             2 Referring to the above stem and leaf display, what proportion of the respondents rated overall television quality with a rating of 80 or above?Question 17Answera.0.04b.0.00c.0.96d.1

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Solution

To answer this question, we first need to understand how to read a stem-and-leaf plot. In this plot, the "stem" is the tens place of the numbers, and the "leaves" are the ones place.

Looking at the plot, we can see that only one respondent rated the television quality with a rating of 80 or above (the 8 stem with the 2 leaf, which represents 82).

Since there were 25 respondents in total, the proportion of respondents who rated the television quality with a rating of 80 or above is 1/25 = 0.04.

So, the answer is a. 0.04.

This problem has been solved

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