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71,74,81,78,67,69,64 The interquartile range of the new dataset is ____ it changed by ____

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To find the interquartile range (IQR) of the dataset \( 71, 74, 81, 78, 67, 69, 64 \), follow these steps:

  1. Sort the dataset: \[ 64, 67, 69, 71, 74, 78, 81 \]

  2. Find the median (Q2):

    • The dataset has 7 numbers. The median (middle value) is the 4th number: \[ Q2 = 71 \]

  3. Find the first quartile (Q1):

    • Q1 is the median of the first half of the data (numbers before the median): \[ 64, 67, 69 \quad \text{(first half)} \]
    • The median of these three numbers (the second number) is: \[ Q1 = 67 \]

  4. Find the third quartile (Q3):

    • Q3 is the median of the second half of the data (numbers after the median): \[ 74, 78, 81 \quad \text{(second half)} \]
    • The median of these three numbers (the second number) is: \[ Q3 = 78 \]

  5. Calculate the interquartile range (IQR): \[ IQR = Q3 - Q1 = 78 - 67 = 11 \]

Now, regarding the statement "it changed by ____", we would need a previous dataset to compare the current IQR of 11 with that of the previous dataset.

If you have a previous dataset or the previous IQR value, please provide that so we can calculate the change.