Here is a data set (n 117) that has been sorted. 22.3 22.7 2427.2 27.427.5 28.5

Question

Here is a data set (n 117) that has been sorted. 22.3 22.7 2427.2 27.427.5 28.5 29.730 30.4 31.7 31.9 32.3 32.5 32.6 32.7 32.8 32.9 33 33.133.133.233.333.433.433.5 33.7 33.9 34.3 34.9 35.2| 35.235.3 35.435.736 36.3 36.3 36.3 36.3 36.436.536.5 36.736.8 37 37.4 37.4 |37.537.6 38.338.538.5 38.7 38.939 3939.2 39.4 39.5 39.5 39.6 39.6 40 40.4 40.5 40.9 41.1 41.7 41.741.8 42 42.3 42.5 42.5 42.6 42.642.7 42.8 43.343.3 43.8444444.3 |44.4 45.245.545.545.6 45.9 46.8 47.1 47.3 47.447.547.747.7 48.1 48.2 48.3 48.4 48.5 48.949.3 49.95050.9 51.3 51.451.453.455.55758.459.967.5 Find the 7-Percentile: Preview

Explanation / Answer

The data set has already been arranged in the ascending order.

We have to find the 7th percentile

Multiply 7% by total number of values.

7*117/100

= 8.19

Since the index obtained in the previous step is not a whole number

we round it off to the nearest whole number

We count the numbers in the data set from the lowest to highest untill we reach the 8th value.

i.e. 29.7

So 29.7 is the 7th percentile

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