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QOTD#9 Each of the people in three groups gave a rating of
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12 Sep 2016, 11:22
12 Sep 2016, 11:22
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92% (01:27) correct
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Each of the people in three groups gave a rating of Product X on a scale from 1 through 5. For each of the groups, the table above shows the number of people in the group and the average (arithmetic mean) of their ratings. What is the average of the ratings of the product given by the 100 people in the three groups combined?
Give your answer to the nearest 0.1.
Show: :: OA
4.1
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Given Kudos: 136
Re: QOTD#9 Each of the people in three groups gave a rating of
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18 Nov 2016, 06:38
18 Nov 2016, 06:38
3
Explanation
We can use weighted averages to answer this question.
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
Group A: 45/100 of the people are in this group. And their average rating is 3.8
Group B: 25/100 of the people are in this group. And their average rating is 4.6
Group C: 30/100 of the people are in this group. And their average rating is 4.2
Applying the above formula we get:
Weighted average of groups combined = (45/100)(3.8) + (25/100)(4.6) + (30/100)(4.2)
= 1.71 + 1.15 + 1.26
= 4.12
Answer: 4.1
RELATED VIDEO
We can use weighted averages to answer this question.
Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ...
Group A: 45/100 of the people are in this group. And their average rating is 3.8
Group B: 25/100 of the people are in this group. And their average rating is 4.6
Group C: 30/100 of the people are in this group. And their average rating is 4.2
Applying the above formula we get:
Weighted average of groups combined = (45/100)(3.8) + (25/100)(4.6) + (30/100)(4.2)
= 1.71 + 1.15 + 1.26
= 4.12
Answer: 4.1
RELATED VIDEO
Re: QOTD#9 Each of the people in three groups gave a rating of
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28 Jun 2024, 12:38
28 Jun 2024, 12:38
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