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The consistency of a drink machine is being tested the machine dispenses the following ounces of water in five different trials 12, 11, 10, 11, 14 what is the IQR of the dispensing trials

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To find the interquartile range (IQR) of the dispensing trials, we first need to arrange the data in ascending order and then identify the first quartile (Q1) and the third quartile (Q3).

The data in ascending order:

10, 11, 11, 12, 14

Next, we find Q1 and Q3:

  1. Q1 (the first quartile) is the median of the first half of the data. For the data set {10, 11, 11}, the median is 11. Thus, Q1 = 11.

  2. Q3 (the third quartile) is the median of the second half of the data. For the data set {12, 14}, the median is (12 + 14) / 2 = 13. Thus, Q3 = 13.

Now we can find the IQR:

\[ \text{IQR} = Q3 - Q1 = 13 - 11 = 2 \]

Therefore, the interquartile range (IQR) of the dispensing trials is 2.