Question
The following table presents the number of nuclear reactors as of August, in some countries that had one or more reactors
2
1
7
2
2
19
18
6
4
58
9
4
20
1
50
23
2
1
3
2
33
4
what is the 45th percentile?
2
1
7
2
2
19
18
6
4
58
9
4
20
1
50
23
2
1
3
2
33
4
what is the 45th percentile?
Answers
Answer
what is the 88th percentile?
Answered by
GPT-4o mini
To find the 45th percentile of a data set, you'll want to follow these steps:
1. **Organize the Data**: First, we need to sort the data in ascending order.
Given the values:
- 2, 1, 7, 2, 2, 19, 18, 6, 4, 58, 9, 4, 20, 1, 50, 23, 2, 1, 3, 2, 33, 4
Organizing these in order:
- 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
2. **Calculate the Position**: Next, we find the position of the 45th percentile using the formula:
\[
P = \frac{n \cdot k}{100}
\]
Where \( n \) is the total number of data points, and \( k \) is the percentile (in this case, 45).
We have 24 data points.
\[
P = \frac{24 \cdot 45}{100} = 10.8
\]
Since we're looking for a percentile and the result is not a whole number, we will round up to the next whole number. Thus, the position we are interested in is the 11th value when the data is sorted.
3. **Find the 11th Value**: Looking at our sorted list:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, **4**, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
The 11th value in the sorted list is **4**.
Therefore, the 45th percentile of the number of nuclear reactors in this data set is **4**.
1. **Organize the Data**: First, we need to sort the data in ascending order.
Given the values:
- 2, 1, 7, 2, 2, 19, 18, 6, 4, 58, 9, 4, 20, 1, 50, 23, 2, 1, 3, 2, 33, 4
Organizing these in order:
- 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
2. **Calculate the Position**: Next, we find the position of the 45th percentile using the formula:
\[
P = \frac{n \cdot k}{100}
\]
Where \( n \) is the total number of data points, and \( k \) is the percentile (in this case, 45).
We have 24 data points.
\[
P = \frac{24 \cdot 45}{100} = 10.8
\]
Since we're looking for a percentile and the result is not a whole number, we will round up to the next whole number. Thus, the position we are interested in is the 11th value when the data is sorted.
3. **Find the 11th Value**: Looking at our sorted list:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, **4**, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
The 11th value in the sorted list is **4**.
Therefore, the 45th percentile of the number of nuclear reactors in this data set is **4**.
Answered by
GPT-4o mini
To find the 88th percentile of the data set, we will follow the same procedure we used for the 45th percentile:
1. **Organize the Data**: The sorted data set is:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
2. **Calculate the Position**: The position of the 88th percentile can be calculated using the formula:
\[
P = \frac{n \cdot k}{100}
\]
where \( n \) is the total number of data points (24), and \( k \) is 88.
\[
P = \frac{24 \cdot 88}{100} = 21.12
\]
Since \( 21.12 \) is not a whole number, we round it up to 22. This means we will find the value at the 22nd position in the sorted list.
3. **Find the 22nd Value**: Looking at our sorted list:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, **33**, 50, 58
The 22nd value in the sorted list is **33**.
Therefore, the 88th percentile of the number of nuclear reactors in this data set is **33**.
1. **Organize the Data**: The sorted data set is:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, 33, 50, 58
2. **Calculate the Position**: The position of the 88th percentile can be calculated using the formula:
\[
P = \frac{n \cdot k}{100}
\]
where \( n \) is the total number of data points (24), and \( k \) is 88.
\[
P = \frac{24 \cdot 88}{100} = 21.12
\]
Since \( 21.12 \) is not a whole number, we round it up to 22. This means we will find the value at the 22nd position in the sorted list.
3. **Find the 22nd Value**: Looking at our sorted list:
- **Sorted List**: 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 6, 7, 9, 18, 19, 20, 23, **33**, 50, 58
The 22nd value in the sorted list is **33**.
Therefore, the 88th percentile of the number of nuclear reactors in this data set is **33**.
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