Question

When finding​ percentiles, if the locator L is not a whole​ number, one procedure is to interpolate so that a locator of​ 23.75, for​ example, leads to a value that is three fourths of the way between the 23rd and 24th scores. Use this method of interpolation to find for the set of test scores below. 51 54 64 68 72 74 76 83 94 94 99

Answer 1

Answer:

The answer is "94"

Step-by-step explanation:

Given data:

51,54,64,68,72,74,76,83,94,94,99

Find:

$P_{75}=?P_{75}= (\frac{75(n+1)}{100})^{th} \ \ observation$

      $= (\frac{75(11+1)}{100})^{th} \ \ observation\\\\= (\frac{75(12)}{100})^{th} \ \ observation\\\\= (\frac{75 \times 12}{100})^{th} \ \ observation\\\\= (\frac{900}{100})^{th} \ \ observation\\\\= 9^{th} \ \ observation\\\\= 9^{th} \ number \ is = 94$