Question

Enter the values to complete the box plot of dataset 23, 24, 25, 26, 27, 28.(2 points)
Remaining Attempts : 3

Answer 1

To create a box plot for the dataset \(23, 24, 25, 26, 27, 28\), we need to identify the following five key values:

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

Let's calculate these values:

1. **Minimum:** \(23\)
2. **Maximum:** \(28\)
3. **Median (Q2):** Since there are six values in the dataset, the median is the average of the 3rd and 4th values:
\[
Q2 = \frac{25 + 26}{2} = 25.5
\]
4. **First Quartile (Q1):** This is the median of the first half of the dataset (\(23, 24, 25\)):
\[
Q1 = 24
\]
5. **Third Quartile (Q3):** This is the median of the second half of the dataset (\(26, 27, 28\)):
\[
Q3 = 27
\]

Now we have all the necessary values to complete the box plot:

- Minimum: **23**
- Q1: **24**
- Median (Q2): **25.5**
- Q3: **27**
- Maximum: **28**

These five values will be used to construct the box plot.