Question:
Which of the following statements are correct?
A. Ogive curves are used to obtain median
B. Histogram are used to obtain mode
C. Boxplots are used to determine mean
D. Pie charts are used to determine quantile
Choose the correct answer from the options given below
Which of the following statements are correct?
A. Ogive curves are used to obtain median
B. Histogram are used to obtain mode
C. Boxplots are used to determine mean
D. Pie charts are used to determine quantile
Choose the correct answer from the options given below
A. Ogive curves are used to obtain median
B. Histogram are used to obtain mode
C. Boxplots are used to determine mean
D. Pie charts are used to determine quantile
Choose the correct answer from the options given below
Show Hint
Remember: Ogive $\to$ Median; Histogram $\to$ Mode; Boxplot $\to$ Median and Quartiles. This "which graph for which measure" question is a staple of introductory statistics exams.
Updated On: Jun 6, 2026
- A and B only
- A and C only
- B and C only
- A and D only
Show Solution
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The Correct Option is A
Solution and Explanation
We evaluate the statistical purpose and properties of various data visualization tools.
Step 1: \color{redAnalyze Statement A
An Ogive is a graph of a cumulative distribution function.
The median is the value where the cumulative frequency reaches 50% ($N/2$).
By drawing a horizontal line from the 50% mark on the y-axis to the Ogive and then down to the x-axis, we find the median.
Thus, statement A is correct.
Step 2: \color{redAnalyze Statement B
A Histogram displays the frequency of data within intervals.
The mode is the most frequent value. In a histogram, the tallest bar represents the modal class.
Through interpolation within this bar, the exact mode can be determined graphically.
Thus, statement B is correct.
Step 3: \color{redAnalyze Statement C
A standard Boxplot (Whisker plot) displays the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum.
While the median is explicitly shown as a line inside the box, the mean is not a standard feature of a boxplot (though sometimes added as a dot).
Thus, statement C is generally considered incorrect in a primary context.
Step 4: \color{redAnalyze Statement D
Pie charts show the proportion of categories within a whole.
They are not designed to determine quantiles (like percentiles or deciles) of a continuous data set.
Thus, statement D is incorrect.
Step 5: \color{redConclusion
Statements A and B are the correct statistical properties.
This corresponds to Option (1).
The correct answer is Option (1).
Step 1: \color{redAnalyze Statement A
An Ogive is a graph of a cumulative distribution function.
The median is the value where the cumulative frequency reaches 50% ($N/2$).
By drawing a horizontal line from the 50% mark on the y-axis to the Ogive and then down to the x-axis, we find the median.
Thus, statement A is correct.
Step 2: \color{redAnalyze Statement B
A Histogram displays the frequency of data within intervals.
The mode is the most frequent value. In a histogram, the tallest bar represents the modal class.
Through interpolation within this bar, the exact mode can be determined graphically.
Thus, statement B is correct.
Step 3: \color{redAnalyze Statement C
A standard Boxplot (Whisker plot) displays the minimum, first quartile ($Q_1$), median ($Q_2$), third quartile ($Q_3$), and maximum.
While the median is explicitly shown as a line inside the box, the mean is not a standard feature of a boxplot (though sometimes added as a dot).
Thus, statement C is generally considered incorrect in a primary context.
Step 4: \color{redAnalyze Statement D
Pie charts show the proportion of categories within a whole.
They are not designed to determine quantiles (like percentiles or deciles) of a continuous data set.
Thus, statement D is incorrect.
Step 5: \color{redConclusion
Statements A and B are the correct statistical properties.
This corresponds to Option (1).
The correct answer is Option (1).
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