Petro made a tally chart shown below.
Hours Spent Watching TV
| Hours | 4 | 5 | 6 | 7 |
| :---- | :-: | :-: | :-: | :-: |
| Tally | | | III | III |
Which would be a good statistical question based on the tally chart?
A. Did you watch four hours of TV today?
B. Did you watch TV today?
C. Did you watch five or six hours of TV today?
D. How many hours did you spend watching TV today?
Answer (2)
Evaluate each option to see if it meets the criteria of a good statistical question.
Option 1, 2 and 3 are not good statistical questions because they are yes/no questions and don't fully utilize the data.
Option 4 is the best statistical question because it is open-ended and allows for a range of answers based on the data in the tally chart.
The best statistical question is: How many hours did you spend watching TV today?
Explanation
Analyze the problem We need to determine which of the given questions is a good statistical question based on the tally chart provided. A good statistical question should elicit a variety of answers and be based on the data presented in the chart.
Evaluate each option Let's evaluate each option:
"Did you watch four hours of TV today?" - This is a yes/no question. According to the tally chart, no one watched exactly four hours of TV. This is not a good statistical question.
"Did you watch TV today?" - This is a yes/no question and is too broad. It doesn't provide specific information about the hours watched.
"Did you watch five or six hours of TV today?" - This is a yes/no question. The tally chart shows data for 6 and 7 hours, but this question doesn't capture the full range of the data.
"How many hours did you spend watching TV today?" - This question is open-ended and allows for a range of answers based on the data in the tally chart. It aligns with the data presented and can provide more detailed information.
Determine the best statistical question Based on the analysis, the best statistical question is "How many hours did you spend watching TV today?" because it is open-ended and allows for a variety of answers based on the data in the tally chart.
Final Answer The best statistical question based on the tally chart is:
How many hours did you spend watching TV today?
Examples
Statistical questions are used in surveys and data collection to gather information about a population. For example, a school might use a statistical question to determine how much time students spend on homework each night. The data collected can then be used to make informed decisions about school policies or to identify students who may need additional support.
The best statistical question based on Petro's tally chart is option D: "How many hours did you spend watching TV today?" This question is open-ended and allows for a range of answers based on the data. Other options are too narrow or broad to gather meaningful statistics.
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