Answer:
<u>The box plot that correctly displays the data is A.</u>
Correct statement, question and graph:
Adam recorded the number of flower blooms on each of his ten rose bushes.
9, 10, 4, 12, 15, 17, 18, 10, 12, 13
If he combined the number of blooms into one data set, which box plot correctly displays the data?
A)
B)
C)
D)
Source:
Previous question that can be found at brainly
Step-by-step explanation:
1. Let's order the data from smallest to largest.
4, 9, 10, 10, 12, 12, 13, 15, 17, 18
2. Let's find the median, this way:
Median = (5th number + 6th number)/2
Median = 12 + 12/2 = 24/2 = 12
3. Let's find out the quartiles.
The first quartile is the median of the data points to the left of the median.
4, 9, 10, 10, 12
Q₁ = 10
The third quartile is the median of the data points to the right of the median.
12, 13, 15, 17, 18
Q₃ = 15
<u>The box plot that correctly displays Q₁, median and Q₃ is box plot A.</u>
- In Box B, Q₁ = 9, median = 10 and Q₃ = 14
- In Box C, Q₁ = 9, median = 10 and Q₃ = 12 with values from 6 to 12
- In Box D, Q₁ = 5, median = 9 and Q₃ = 14