To find the 5-number summary of the dataset, we need to find the minimum, maximum, median, and first and third quartiles.
1. Minimum: 11
2. Maximum: 25
3. Median (Q2): The median is the middle value of the dataset when it is ordered from smallest to largest. Since there are 11 numbers in the dataset, the median is the middle number, which is the 6th number: 13.
4. First Quartile (Q1): The first quartile is the median of the lower half of the dataset. To find it, we need to find the median of the numbers 11, 12, 12, 13, and 13. The median of these numbers is 12.
5. Third Quartile (Q3): The third quartile is the median of the upper half of the dataset. To find it, we need to find the median of the numbers 14, 14, 15, 19, and 25. The median of these numbers is 14.
Therefore, the 5-number summary of the skewed dataset is:
Minimum: 11
First Quartile (Q1): 12
Median (Q2): 13
Third Quartile (Q3): 14
Maximum: 25
Calculate the values for the 5-number summary of the skewed dataset 11, 12, 12, 13, 13, 13, 14, 14, 15, 19, 25.
1 answer