Math Problem Statement
Use the boxplot to identify the median:
Question 1 options:
a)
31
b)
9
c)
17
d)
2
e)
24
Question 2 (1 point)
Listen Use the boxplot to identify the Q1:
Question 2 options:
a)
31
b)
17
c)
24
d)
9
e)
2
Question 3 (1 point)
Listen Use the boxplot to identify the Q3:
Question 3 options:
a)
9
b)
31
c)
17
d)
2
e)
24
Question 4 (1 point)
Listen About what percent of the data falls between 9 and 24 days?
Question 4 options:
a)
50%
b)
25%
c)
75%
Solution
To answer these questions, we need to interpret a boxplot. Here's a general guide to understanding the relevant parts of a boxplot:
- Median: This is the middle value of the data set, represented by the line inside the box.
- Q1 (First Quartile): This is the median of the lower half of the data, marking the 25th percentile.
- Q3 (Third Quartile): This is the median of the upper half of the data, marking the 75th percentile.
- Percent of Data Between Q1 and Q3: This region contains the interquartile range (IQR), which is the middle 50% of the data.
Without seeing the actual boxplot, I can explain how to match the options provided with these concepts:
-
Identify the Median:
- The median is represented by the line inside the box. Choose the value from the options that aligns with this line.
-
Identify Q1:
- Q1 is the value at the left edge of the box. Choose the value that matches this position.
-
Identify Q3:
- Q3 is the value at the right edge of the box. Choose the value that corresponds to this position.
-
Percent of Data Between Q1 and Q3:
- The data between Q1 and Q3 represents the interquartile range, which is always 50% of the data.
Given the typical interpretation of a boxplot:
- Question 1: The median is likely 17.
- Question 2: Q1 is likely 9.
- Question 3: Q3 is likely 24.
- Question 4: About 50% of the data falls between Q1 and Q3.
These are educated guesses based on common boxplot structures.
Do you have any questions or need more details?
Here are 5 related questions for further practice:
- What does the whisker length in a boxplot indicate?
- How do you calculate the interquartile range (IQR)?
- What is an outlier in the context of a boxplot?
- How would you find the mean from a boxplot?
- Can a boxplot be skewed? How would you identify this?
Tip: Remember, the box itself in a boxplot represents the middle 50% of the data, so the edges of the box mark Q1 and Q3, and the line inside marks the median.
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Math Problem Analysis
Mathematical Concepts
Statistics
Boxplots
Formulas
-
Theorems
-
Suitable Grade Level
High School