The following dataset represents the number of eggs laid in the chicken coop each day for the past week.

Question

5, 8, 0, 3, 2, 7, 4

(5 points)
Find the 5-number summary.

Minimum:

Maximum:

Median:

Q1:

Q3:

Answer 1

To find the 5-number summary of the given dataset (5, 8, 0, 3, 2, 7, 4), we need to follow these steps:

1. Organize the Data: Sort the data in ascending order.

   • Sorted data: 0, 2, 3, 4, 5, 7, 8

2. Find the Minimum: The smallest number in the dataset.

   • Minimum: 0

3. Find the Maximum: The largest number in the dataset.

   • Maximum: 8

4. Find the Median: The middle value of the sorted data. Since there are 7 numbers (odd), the median is the 4th value.

   • Median: 4

5. Find Q1: The first quartile (Q1) is the median of the first half of the data (the first 3 numbers).

   • First half: 0, 2, 3
   • Q1: 2

6. Find Q3: The third quartile (Q3) is the median of the second half of the data (the last 3 numbers).

   • Second half: 5, 7, 8
   • Q3: 7

Now we can summarize the findings:

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

So, the 5-number summary is:

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