Question

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