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Statistics — Class 9 CBSE Mathematics MCQs with Solutions
Free Class 9 CBSE Mathematics Statistics MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
A graphical representation of data consisting of vertical bars with NO gaps between adjacent bars for continuous class intervals is a:
A. Bar graph
B. Histogram ✓ Correct
C. Pictograph
D. Frequency polygon
Solution: Histograms display continuous grouped data without spaces between adjacent bars.
Q2 — easy
In a frequency distribution table, class mark of class interval 10 − 20 is:
A. 10
B. 15 ✓ Correct
C. 20
D. 30
Solution: Class Mark = (Upper limit + Lower limit) / 2 = (20 + 10)/2 = 15.
Q3 — easy
Difference between upper class limit and lower class limit of a class interval is its:
A. Class mark
B. Class size (width) ✓ Correct
C. Frequency
D. Range
Solution: Class Width/Size = Upper Limit − Lower Limit.
Q4 — easy
Width of each bar in a Histogram represents:
A. Frequency
B. Class size (interval width) ✓ Correct
C. Cumulative frequency
D. Midpoint
Solution: Bar width corresponds to class interval width.
Q5 — easy
Height of each bar in a Histogram with uniform class intervals represents:
A. Class mark
B. Class frequency ✓ Correct
C. Cumulative frequency
D. Lower limit
Solution: Bar height represents frequency.
Q6 — easy
A line graph formed by joining midpoints of top tops of histogram bars with straight line segments is a:
A. Bar chart
B. Frequency Polygon ✓ Correct
C. Cumulative curve
D. Pie chart
Solution: Frequency polygons connect top midpoints (class marks) of frequency bars.
Q7 — easy
Data collected directly by an investigator for a specific purpose first-hand is:
A. Secondary data
B. Primary data ✓ Correct
C. Grouped data
D. Continuous data
Solution: First-hand gathered data is primary data.
Q8 — easy
Data gathered from existing published sources (newspapers, internet, records) is:
A. Primary data
B. Secondary data ✓ Correct
C. Raw data
D. Discrete data
Solution: Pre-existing compiled data is secondary data.
Q9 — easy
Class marks are plotted along which axis while constructing a Frequency Polygon?
A. Y-axis
B. X-axis (Horizontal) ✓ Correct
C. Both axes
D. Origin
Solution: Class marks (independent variable) are marked on X-axis.
Q10 — easy
Frequencies are plotted along which axis in Histograms and Frequency Polygons?
A. X-axis
B. Y-axis (Vertical) ✓ Correct
C. Z-axis
D. Diagonally
Solution: Frequencies (dependent variable) are marked on Y-axis.
Q11 — easy
Find class size of class intervals 0−10, 10−20, 20−30:
A. 5
B. 10 ✓ Correct
C. 15
D. 20
Solution: Class size = 10 − 0 = 10.
Q12 — easy
Total area under a frequency polygon is equal to total area under corresponding:
A. Bar graph
B. Histogram ✓ Correct
C. Pie chart
D. Circle
Solution: Frequency polygon encloses area identical to histogram area.
Q13 — easy
Upper class limit of class interval 25 − 35 is:
A. 25
B. 30
C. 35 ✓ Correct
D. 10
Solution: Upper class limit = 35.
Q14 — medium
Adjusted frequency for a class interval in a histogram with UNUNIFORM class widths is calculated as:
A. (Frequency / Class size) × Minimum class size ✓ Correct
B. Frequency × Class size
C. Class size / Frequency
D. Frequency / Total frequency
Solution: Adjusted Frequency = (Frequency / Current Class Width) × Minimum Class Width.
Q15 — medium
Area of a histogram rectangle is proportional to the:
A. Class size
B. Class frequency ✓ Correct
C. Total population
D. Upper limit
Solution: Area of bar = Width × Height ∝ Frequency.