Given the following data, find the age that represents the 48th percentile.
Ages of Presidents
53 61 50 52 67
58 62 45 67 48
43 58 52 52 52
To find the age that represents the 48th percentile, first arrange all the ages in ascending order:
43, 45, 48, 50, 52, 52, 52, 52, 53, 58, 58, 61, 62, 67, 67
Next, calculate the position of the 48th percentile:
Percentile = (48/100) * n
Percentile = (0.48) * 15
Percentile = 7.2
Since the 48th percentile position falls between the 7th and 8th values,
we find the ages at positions 7 and 8 in our arranged list:
Age at position 7: 52
Age at position 8: 52
To calculate the age that represents the 48th percentile, we can take the average of the ages at positions 7 and 8:
(52 + 52) / 2 = 52
Therefore, the age that represents the 48th percentile is 52.