calculate the values for the 5 number summary of the skewed dataset
11, 12, 12, 13, 13, 13, 14, 14, 15, 19, 25
the minimum value equals what?
quartile 1 equals what?
median equals what?
quartile 3 equals what?
maximum value equals what?
To find the 5 number summary of the dataset, we first need to sort the values in ascending order:
11, 12, 12, 13, 13, 13, 14, 14, 15, 19, 25
Minimum Value: 11 (this is the smallest value in the dataset)
Maximum Value: 25 (this is the largest value in the dataset)
To calculate the quartile values, we need to find the median of the dataset, which is the middle value. Since the dataset has an odd number of values, the median will be the middle value:
13 (there are 11 values in the dataset, so the 6th value is the median)
Now, we can find the quartiles. Quartile 1 (Q1) is the median of the lower half of the dataset, and Quartile 3 (Q3) is the median of the upper half of the dataset:
Q1: 12 (median of the lower half of the dataset: 11, 12, 12, 13, 13)
Q3: 15 (median of the upper half of the dataset: 14, 14, 15, 19, 25)
Therefore, the values for the 5 number summary are as follows:
Minimum Value: 11
Quartile 1: 12
Median: 13
Quartile 3: 15
Maximum Value: 25