Find the values of the 30th and 90th percentiles of the data.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
i found 30th to be 105 and 90th to be 176
because i think its 30/10 * 10 = 3??
im not sure
Oops, I goofed. You need to arrange them in order of value first. When I first looked, I saw 129 at one end and 152 at the other and falsely assumed they were in order of value. You got them right.
Still, 30/10 * 10 ≠ 3.
To find the values of the 30th and 90th percentiles of the given data, you need to follow these steps:
1. Arrange the data in ascending order:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
2. Calculate the index positions for the percentiles:
- For the 30th percentile, use the formula: (30/100) * (n + 1), where n is the total number of data points. In this case, n = 10. So, (30/100) * (10 + 1) = 0.3 * 11 = 3.3. Since the index position must be a whole number, round up to 4.
- For the 90th percentile, the formula becomes: (90/100) * (n + 1) = 0.9 * 11 = 9.9. Again, round up to 10.
3. Find the values of the percentiles:
- The value of the 30th percentile is the datapoint at the 4th index position in the ordered list. In this case, it is 105.
- The value of the 90th percentile is the datapoint at the 10th index position in the ordered list. In this case, it is 176.
Therefore, you are correct. The 30th percentile is 105 and the 90th percentile is 176.
Agree with the 176 but not the 105. Use the same method that got the 176, but from the other end.
Also 30/10 * 10 ≠ 3.