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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Interpolation When finding percentiles using Figure 3-5, 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 L =23.75 of 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 p25 (or Q1 ) for the movie budget amounts in Table 3-4 on page 116. How does the result compare to the value that would be found by using Figure 3-5 without interpolation?

Figure 3-5 Converting from the kth Percentile to the Corresponding Data Value
Table 3-4 Sorted Movie Budget Amounts (in millions of dollars)
|
4.5 |
5 |
6.5 |
7 |
20 |
20 |
29 |
30 |
35 |
40 |
|
40 |
41 |
50 |
52 |
60 |
65 |
68 |
68 |
70 |
70 |
|
70 |
72 |
74 |
75 |
80 |
100 |
113 |
116 |
120 |
125 |
|
132 |
150 |
160 |
200 |
225 |
 |
 |
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