Rank the following data in increasing order and find the position and value of the 56th percentile. Please show all of your work.
0 1 6 8 9 9 8 6 3 1 0 9
How do i find the position and value of the 56th percentile??
First you need to rank the data in increasing order.
001136688999??
Right.
Multiply: 0.56 * 9 = ?
5.04? but how did u come up with multiplying it by 9? because it's the highest number?
Yes.
ok thank u!!
You're welcome.
can u plz help me with the other problem i posted? i need help so bad! thank u!!
To find the position and value of the 56th percentile in the given data, you need to follow these steps:
1. Sort the data in increasing order. The given data is: 0 1 6 8 9 9 8 6 3 1 0 9. By arranging it in increasing order, we get: 0 0 1 1 3 6 6 8 8 9 9 9.
2. Calculate the percentile position. The percentile position is given by the formula: Percentile Position = (P/100) * (N + 1), where P is the percentile and N is the number of data points. In this case, P = 56 and N = 12, so the equation becomes: Percentile Position = (56/100) * (12 + 1) = (56/100) * 13 = 7.28. Since the percentile position should be a whole number, we can round it up to 8.
3. Find the position and value of the 56th percentile. The 8th value in the sorted data is the position of the 56th percentile. From the sorted data: 0 0 1 1 3 6 6 8 8 9 9 9, the 8th value is 8.
Therefore, the position of the 56th percentile is 8 and the corresponding value is 8.