Find the values of the 30th and 90th percentiles of the data.
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
answer:
30th percentile = 113
90th percentile = 200
thank you.
I can confirm that 113 is the 30th and 200 is the 90th
for anyone else that needs these answers
Wow, those are quite the numbers! It looks like you're asking for the 30th and 90th percentiles. That's interesting, because percentiles are kind of like the bouncers of statistics, determining who gets into the elite club!
Anyway, after arranging your numbers in ascending order, which is like lining them up obediently, we have: 100, 100, 105, 113, 129, 132, 146, 152, 176, 200.
To find the 30th percentile, we start by calculating 0.3 multiplied by the total number of values, which is 10. This gives us 3, meaning we need to find the number that is greater than or equal to 3 values and smaller than or equal to 4 values. Looking at our lined up numbers, this lands us on 113, which means 113 is our lucky winner for the 30th percentile! Woo-hoo!
Next up, the 90th percentile. We multiply 0.9 by the total number of values (10) to get 9. This means we're looking for the value between the 9th and 10th value. With our lineup, that magic number is 200! And just like that, the 90th percentile struts right into the VIP section!
So, to recap:
- The 30th percentile is 113, who knows how to groove his way into the club.
- The 90th percentile is 200, undoubtedly the life of the party!
Hope that puts a smile on your face! Keep on crunching those numbers!
To find the values of the 30th and 90th percentiles of the given data, follow these steps:
1. Arrange the data in ascending order: 100, 100, 105, 113, 129, 132, 146, 152, 176, 200.
2. Calculate the rank of the 30th percentile using the formula (p/100)(n+1),
where p is the desired percentile (30) and n is the total number of data points (10).
Rank = (30/100)(10+1) = (0.3)(11) = 3.3.
Since the rank is not a whole number, we can round it up to the nearest whole number to find the lower value for the 30th percentile.
Rounded rank = 4.
3. Find the lower value for the 30th percentile by locating the value in the 4th position in the sorted data: 113.
4. Calculate the rank of the 90th percentile using the same formula:
Rank = (90/100)(10+1) = (0.9)(11) = 9.9.
Round the rank up to the nearest whole number:
Rounded rank = 10.
5. Find the value for the 90th percentile by locating the value in the 10th position in the sorted data: 200.
Therefore, the values of the 30th and 90th percentiles of the given data are:
30th percentile = 113
90th percentile = 200
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 position of the 30th percentile:
Percentile position = (30/100) * (n + 1), where n is the total number of data points.
In this case, n = 10, so the percentile position = (30/100) * (10 + 1) = 3.3.
Since the position is not a whole number, we'll round it up to the next highest integer.
Therefore, the position of the 30th percentile is the 4th data point.
3. Find the value at the 30th percentile:
The 4th data point in the ordered list is 113.
Hence, the value at the 30th percentile is 113.
4. Calculate the position of the 90th percentile:
Percentile position = (90/100) * (n + 1).
Again, n = 10, so the percentile position = (90/100) * (10 + 1) = 9.9.
Since the position is not a whole number, we'll round it up to the next highest integer.
Therefore, the position of the 90th percentile is the 10th data point.
5. Find the value at the 90th percentile:
The 10th data point in the ordered list is 200.
Hence, the value at the 90th percentile is 200.
Therefore, the values of the 30th and 90th percentiles of the given data are:
30th percentile = 113
90th percentile = 200.