Using the data found in Height 2, what value has 10% of the observations greater

Question

Using the data found in Height 2, what value has 10% of the observations greater than it? Round answer to nearest hundredth of a centimeter (i.e. 160.23cm).

In the sample, 10% of heights are greater than _________ cm.

Height (cm) 166.7 175.3 169.3 172.7 163.7 164.2 159.6 148.7 164.9 159.8 153.5 158.5 150.8 159.4 153 176.6 168.6 177.5 173.1 174.2 177.1 147.6 165.4 183.4 180.4 165.2 156.4 193.5 185.4 170.9 163.1 161.6 165.6 177.3 174.8 173.7 176 178.3 170.2 180.8 166.1 173.4 163.6 172.5 169 187.8 175.7 165.9 161.3 178.8

Explanation / Answer

putting above data in ascending order:

here for highest 10% ; 90th percentile =(n+1)*pth value =(50+1)*0.9 th value =45.9 th value

=180.4+0.9*(180.8-180.4) =180.76

hence In the sample, 10% of heights are greater than 180.76 cm

s. No Height 1 147.6 2 148.7 3 150.8 4 153 5 153.5 6 156.4 7 158.5 8 159.4 9 159.6 10 159.8 11 161.3 12 161.6 13 163.1 14 163.6 15 163.7 16 164.2 17 164.9 18 165.2 19 165.4 20 165.6 21 165.9 22 166.1 23 166.7 24 168.6 25 169 26 169.3 27 170.2 28 170.9 29 172.5 30 172.7 31 173.1 32 173.4 33 173.7 34 174.2 35 174.8 36 175.3 37 175.7 38 176 39 176.6 40 177.1 41 177.3 42 177.5 43 178.3 44 178.8 45 180.4 46 180.8 47 183.4 48 185.4 49 187.8 50 193.5

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