Question

What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

Answer 1

The answer is actually 35 not 29

Explanation:

there are 20 numbers so it would be 7 divided by 20 which is .35 and .35 multiplied by 100 is 35...don't listen to the person before me they miscounted

Answer 2

29th percentile.

Step-by-step explanation:

Let us arrange our given data from least to greatest order.

2, 4, 4, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9, 12, 13, 13, 13, 13, 13, 15, 25, 35, 40, 62.

To find the percentile value of x we use formula:

`\text{Percentile value of x}=\frac{\text{Number of values less than x}}{\text{Total number of values}}* 100`

We can see from our data set that there are 7 numbers less than 6 and total number of data points is 24.

Upon substituting our given values in above formula we will get,

`\text{Percentile value of 6}=(7)/(24)* 100`

`\text{Percentile value of 6}=0.291666* 100`

`\text{Percentile value of 6}=29.1666\approx 29`

Therefore, the percentile of data value 6 is 29th percentile.