Question

What is the 66th percentile of the data set 24, 45, 52, 78, 90, 120, 34, 67, 111, 10?

Answer 1

`66th` percentile is `78`

Explanation:

To calculate the percentile of a data set, we should first order all the values in the data set from smallest to largest.

The data now looks like `{10,24,34,45,52,67,78,90,11,120}`

As their are `10` data points and `66%` of this is `10xx66/100=6.6` rounding which we get `7`.

Hence `66th` percentile is `7th` item i.e. `78`