Respuesta :
The interquartile range for the given data is 1 quesadilla.
What is the interquartile range?
The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.
To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.
There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.
Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:
0, 0, 1/4, 1/2, 1/2 (any number less than 1).
There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.
Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "
1: 1, 1, 5/4, 2, 2.
Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.
Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.
5/4 - 1/4 = 4/4 = 1.
Therefore, the interquartile range is 1 quesadilla.
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