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:

  1. Order the Data: Sorted data: 12, 15, 15, 17, 19, 19, 20, 22, 24

  2. 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
  3. 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.

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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