Math Problem Statement
pilihlah jawaban yang benar
pilihlah jawaban yang benar
Solution
To determine the correct box plot, we need to first identify the 5 key statistical points from the data:
Data:
- 24, 19, 17, 20, 19, 22, 15, 15, 12
Steps:
-
Order the Data: Sorted data: 12, 15, 15, 17, 19, 19, 20, 22, 24
-
Identify the Five Number Summary:
- Minimum: 12
- First Quartile (Q1): Median of the lower half (15)
- Median (Q2): Middle value (19)
- Third Quartile (Q3): Median of the upper half (20)
- Maximum: 24
-
Plotting the Box Plot: Based on the summary, the box plot should have:
- A box from Q1 (15) to Q3 (20), with a line at the median (19).
- The whiskers extending from the minimum (12) to Q1 (15) and from Q3 (20) to the maximum (24).
- Outliers can be detected, but none appear to exist in this case.
Upon analyzing the provided options, the box plot that correctly represents this data is Option C.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Box Plot
Quartiles
Formulas
Q1 = Lower Quartile
Q2 = Median
Q3 = Upper Quartile
Whiskers extend to min and max values
Theorems
Five-Number Summary
Suitable Grade Level
Grades 10-12