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# Interpolation When finding percentiles using Figure 1, if ISBN: 9780321836960 18

## Solution for problem 38BB Chapter 3.4

Elementary Statistics | 12th Edition

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Problem 38BB

Interpolation When finding percentiles using Figure 1, if the locator L is not a whole number, we round it up to the next larger whole number. An alternative to this procedure is to interpolate. For example, using interpolation with a locator of L = 23.75 leads to a value that is 0.75 (or 3/4) of the way between the 23rd and 24th values. Use this method of interpolation to find P17 for the chocolate chip counts. How does the result compare to the value that would be found by using Figure 1 without interpolation?

Figure 1 Converting from the kth percentile to the corresponding data value. Step-by-Step Solution:
Step 1 of 3

Solution 38BB

L=6.8, leads to a value that is 0.80 of the way between and

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

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