identify the five important values of the box and whisker plot numbers 46 through 66 median 58

Answer 1

In a box and whisker plot, there are five key values known as the five-number summary. These values are:

1. Minimum: The smallest number in the data set.
2. First Quartile (Q1): The median of the first half of the data.
3. Median (Q2): The middle number of the data set.
4. Third Quartile (Q3): The median of the second half of the data.
5. Maximum: The largest number in the data set.

Given your data set of numbers from 46 to 66 with a median of 58, we can determine the five important values:

1. Minimum: 46
2. Maximum: 66
3. Median (Q2): 58 (as provided)
4. First Quartile (Q1): The median of the first half of the data set (46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57), which is the average of 52 and 53 = 52.5.
5. Third Quartile (Q3): The median of the second half of the data set (58, 59, 60, 61, 62, 63, 64, 65, 66), which is the average of 61 and 62 = 61.5.

So the five important values of the box and whisker plot are:

• Minimum: 46
• Q1: 52.5
• Median: 58
• Q3: 61.5
• Maximum: 66