Question

Find the range and interquartile range for 279.11, 271.04, 309.73, 363.38, 409.72, 444.74, 603.46, 695.39, 871.96, and 972.35.

Also if you can tell me an easy way to figure out the interquartile range it would be very helpful thanks

Answer 1

The range of the given data set is 701.31 and the interquartile range is 562.23. An easy way to find the interquartile range is to arrange the data set in ascending order, find the median, and then find the median of the lower and upper halves.

Step-by-step explanation:

The range of a data set is calculated by subtracting the minimum value from the maximum value. For the given data set, the minimum value is 271.04 and the maximum value is 972.35. So, the range is 972.35 - 271.04 = 701.31.

The interquartile range (IQR) is a measure of the spread of the middle half of the data set. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the given data set, Q1 is 309.73 and Q3 is 871.96. So, the IQR is 871.96 - 309.73 = 562.23.

An easy way to calculate the interquartile range is to first arrange the data set in ascending order, then find the median. The median divides the data set into two halves. Next, find the median of the lower half (Q1) and the median of the upper half (Q3). Finally, subtract Q1 from Q3 to find the IQR.

Answer 2

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