The following dataset represents the number of eggs laid in the chicken coop each day for the past week. 5, 8, 0, 3, 2, 7, 4 (5 points) Find the 5-number summary.

Answer 1

To find the 5-number summary (minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum) for the dataset of chicken eggs laid each day (5, 8, 0, 3, 2, 7, 4), we first need to organize the data in ascending order.

1. Sort the data: The original dataset is: 5, 8, 0, 3, 2, 7, 4
   When sorted in ascending order: 0, 2, 3, 4, 5, 7, 8

2. Minimum:
   The smallest value in the dataset is 0.

3. Maximum:
   The largest value in the dataset is 8.

4. Median (Q2):
   The median is the middle value of the sorted dataset. Since there are 7 values, the median is the 4th number:
   Median = 4.

5. First Quartile (Q1):
   Q1 is the median of the first half of the data (lower half): 0, 2, 3
   The median of this half is the 2nd number, which is 2.

6. Third Quartile (Q3):
   Q3 is the median of the second half of the data (upper half): 5, 7, 8
   The median of this half is the 2nd number, which is 7.

Now we have all five numbers for the summary:

• Minimum: 0
• Q1: 2
• Median (Q2): 4
• Q3: 7
• Maximum: 8

The 5-number summary is: 0, 2, 4, 7, 8.