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Find the upper quartile of the provided data set: 11, -5, 13, 4, 11, 8, -3.

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Answer:

Upper Quartile = 11

Explanation:

  • Before we can find the upper quartile, we first need to find the median (middle of the data).

To find the median, we arrange the data in order from least to greatest:

-5, -3, 4, 8, 11, 11, 13

  • Since there is an odd number of data points (7 to be exact), three data points will lie to the left and to the right of the median.

Thus, 8 is the median, as three data points lie to the left and right of it.

Now we find the upper quartile by finding the data points that lies in the middle of the three data points to the right of the median:

11, 11, 13

  • Since 3 is an odd number, there will be one data point to the left and to the right of the upper quartile.

Thus, 11 is the upper quartile, as one data point lies to the left and the right of it.

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