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Answer :
The upper quartile (Q3) for the given data set, when arranged in ascending order, is the third value in the upper half of the data, resulting in the value being 76. Therefore the correct option is D.
To find the upper quartile for the given data set {74, 66, 76, 68, 69, 77, 66, 77, 69, 71}, we first need to arrange the data in ascending order:
- 66
- 66
- 68
- 69
- 69
- 71
- 74
- 76
- 77
- 77
Since there are 10 data points, the upper quartile (Q3) is the median of the higher half, which includes the 6th to the 10th data points:
- 71
- 74
- 76
- 77
- 77
For this data set, Q3 is 76 because it is the third data value in the ordered list of the top half of the data. Hence, the upper quartile for this data set is 76.
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