Answer :
The 24th percentile is 2796.
How to determine the value
From the information given, we have that the data is;
1400 1900 2000 2500 2600 2700 2900 3100 3300 3400 3700 4000 4100 4300 4400 4500 4700 4800 4900 5200 6200 6300 6500 6900 7000 7400 7600 8600
Seeing that it is already arranged in ascending order, we have;
Let us find the position of the percentile.
(24/100) × 27
Multiply the values
= 6.48.
This value is between the 6th and the 7th position;
P(24) = 6th position + remaining value × (7th position) - (6th position))
Substitute the values ,we have;
P24 = 2700 + 0.48 × (2900 - 2700)
expand the bracket
= 2700 + 0.48 × 200
Multiply the values
= 2700 + 96
Add the values
= 2796
Learn more about percentile at: https://brainly.com/question/2263719
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