12. Percentiles AaAa The following are weights (in pounds) for a sample of 11 ba
ID: 3060111 • Letter: 1
Question
12. Percentiles AaAa The following are weights (in pounds) for a sample of 11 baby boys at the age of 18 months: 21.8 22.2 23.424.6 25.1 26.7 27.3 28.0 29.8 30.9 31.2 The estimate for the 80th percentile for these sample data is frequency table-with the list of actual scores in the "X" column-and include a column of cumulative percentages. To calculate the percentile, you may need to interpolate between two cumulative percentages, keeping the upper real limits in mind.) pounds. (Hint: It may help to create a cumulative In the sample data, out of 11 observations are less than or equal to the 80th percentile, andout of 11 observations are greater than or equal to this value.Explanation / Answer
80th Percentile
P80 = 80N/100) th observation = 80*11/100 =8.8th observation.
Since 8.8th observation lies between 8th and 9th observation of the arranged ( ascending order) data
P80 = 28+0.8(29.8-28) =29.44
The estimate for the 80th percentile for these sample data is 29.44 pounds
In the sample data, 8 out of 11 observations are less than or equal to 80th percentile and 3 out of 11 observations are greater than or equal to this value.
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