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In an opinion survey on a certain controversial isue, the subjects were asked to

ID: 3074607 • Letter: I

Question

In an opinion survey on a certain controversial isue, the subjects were asked to pick an integer that matched their opinion, ranging from 1 for strong disagreement through 4 for uncertainty or indifference to 7 for strong agreement.In the distribution of replies, Q-1.2,02-44,and Qa 69 Which of the following statements can be deduced with greatest certainty from this information? The distribution is symmetrical. The mode is near 4. The mean is 4.4 Of the people surveyed, many had strong opinions. The majority of the respondents were uncertain or indifferent.

Explanation / Answer

Here Q1 = 1.2, Q2 = 4.4 and Q3 = 6.9
minimum value is 1 and maximum value is 7

Q1 = 1.2 indicates that there are 25% observations below 1.2. This also means 25% are in strong disagreement.
Q3 = 6.9 indicates that there are 25% observations above 6.9. This also means 25% are in strong agreement.

Overall 50% of obsevations are in favor of strong opinion

Hence of the people surveyed, many had strong opinions

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