Answer: Minimum: The smallest value in the data set is 0.
Maximum: The largest value in the data set is 6.
To find the other three values, we need to arrange the data in order:
0, 0, 0, 0, 1, 2, 2, 4, 4, 4, 5, 5, 6, 6
Since there are 14 values (an even number), the median will be the average of the two middle values.
Median: The median is the average of the 7th and 8th values: (2 + 4) / 2 = 3.
To find the quartiles, we need to divide the data into two halves.
Q1 (First Quartile): The median of the lower half (first 7 values) is the average of the 3rd and 4th values: (0 + 1) / 2 = 0.5.
Q3 (Third Quartile): The median of the upper half (last 7 values) is the average of the 10th and 11th values: (4 + 5) / 2 = 4.5.
So, the five-number summary is:
Minimum: 0 Q1: 0.5 Median: 3 Q3: 4.5 Maximum: 6
Step-by-step explanation:
