Instruction 2.3
A survey 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.
$$\begin{array} { | l | l | }
\hline \text { Stem } & \text { Lesves } \
\hline 3 & 24 \
\hline 4 & \begin{array} { l }
0347899 \
9
\end{array} \
\hline 5 & 0112345 \
\hline 6 & 12566 \
\hline 7 & 01 \
\hline 8 & \
\hline 9 & 2 \
\hline
\end{array}$$
-Referring to Instruction 2.3,what percentage of the respondents rated overall television quality with a rating of 50 or below?
A) 44
B) 56
C) 11
D) 40

Question

Instruction 2.3
A survey 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.
 $$\begin{array} { | l | l | } 
\hline \text { Stem } & \text { Lesves } \
\hline 3 & 24 \
\hline 4 & \begin{array} { l } 
0347899 \
9
\end{array} \
\hline 5 & 0112345 \
\hline 6 & 12566 \
\hline 7 & 01 \
\hline 8 & \
\hline 9 & 2 \
\hline
\end{array}$$
-Referring to Instruction 2.3,what percentage of the respondents rated overall television quality with a rating of 50 or below?
A) 44
B) 56
C) 11
D) 40

Quizplus · Accepted Answer

To find the percentage of respondents who rated the overall television quality with a rating of 50 or below, we count the number of ratings in the stems 3, 4, and 5. There are 2 ratings in stem 3, 10 ratings in stem 4 (noticing the split in the row for stem 4), and 6 ratings in stem 5, making a total of 18 ratings of 50 or below. The total number of ratings is 2 (stem 3) + 10 (stem 4) + 6 (stem 5) + 5 (stem 6) + 2 (stem 7) + 1 (stem 9) = 26. Therefore, the percentage is (18/26) * 100 ≈ 69.23%. However, since this result does not match any of the options and there seems to be a misunderstanding in interpreting the options provided, let's correct the approach based on the options given:To correctly calculate the percentage of respondents who rated the overall television quality with a rating of 50 or below, we should accurately count the total number of responses and those 50 or below again. The correct count is 2 (stem 3) + 10 (stem 4) + 6 (stem 5) = 18 for 50 or below out of a total of 26 responses. The calculation for the percentage is (18/26) * 100 = 69.23%. Given the misunderstanding in the initial explanation and the options provided, it seems there was a mistake in the calculation or interpretation of the options. The correct approach to find the percentage based on the options would involve accurately dividing the dataset and understanding the options provided. Without the exact counts matching the options, the initial explanation aimed to demonstrate how to calculate such a percentage but did not accurately reflect the options given. The correct answer should be based on the actual counts and the options available, but there was an error in the initial calculation or interpretation.

Instruction 2 -Referring to Instruction 2