Please help me to find the five-number summary of the following set of numbers.338, 226, 149, 391, 247, 501, 300, 223, 320
According to a definition I found online,
"The five-number summary of the data consists of the minimum data point, the first quartile, the median, the third quartile, and the maximum data point. Thus these five numbers display the full range of variation (from minimum to maximum), the common range of variation (from first to third quartile), and a typical value (the median). "
Arrange the nine numbers in ascending order. Then take the first, third, fidth, seventh and ninth number. That should be the answer. The numbers dividing the set into four quartiles.
To find the five-number summary of the given set of numbers: 338, 226, 149, 391, 247, 501, 300, 223, 320, we need to arrange the numbers in ascending order and then identify the minimum, first quartile, median, third quartile, and maximum.
First, arrange the numbers in ascending order: 149, 223, 226, 247, 300, 320, 338, 391, 501.
Now, the five-number summary is as follows:
1. Minimum: The smallest number in the set is 149.
2. First Quartile (Q1): The median of the lower half of the data. In this case, the lower half consists of the numbers 149, 223, and 226. The median of these numbers is 223.
3. Median (Q2): The middle value of the set. Since there are nine numbers, the median is the middle number, which is 300.
4. Third Quartile (Q3): The median of the upper half of the data. In this case, the upper half consists of the numbers 320, 338, 391, and 501. The median of these numbers is 338.
5. Maximum: The largest number in the set is 501.
Therefore, the five-number summary of the given set of numbers is:
Minimum: 149
Q1: 223
Median: 300
Q3: 338
Maximum: 501