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

Question

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

GPT-4o mini · Answer

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.