1 Mark
ANNUAL EXAM PYQS · CHAPTER 12
Statistics
CBSE Most Repeated PYQs
Solve official Class 9 Annual Examination Questions for Statistics. Click on options to test yourself, or click "Show Solution & Answer" for complete step-by-step working.
1 Mark
In a frequency distribution, class mark of a class is 15 and class width is 6. Lower limit of class is:
1 Mark
Bar graphs are drawn with bars of:
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In a histogram, the area of each rectangle is proportional to:
1 Mark
Assertion (A): In a histogram, there are no gaps between consecutive rectangles. Reason (R): Histogram is used to represent continuous grouped frequency distribution.
1 Mark
Assertion (A): Frequency polygon can be drawn with or without drawing a histogram. Reason (R): Class marks of class intervals are used as x-coordinates in frequency polygon.
2 Marks
Thirty children were asked about number of hours they watched TV in previous week: 1, 6, 2, 3, 5, 12, 5, 8, 4, 8, 10, 3, 4, 12, 2, 8, 15, 1, 17, 6, 3, 2, 8, 5, 9, 6, 8, 7, 14, 12. Find range.
2 Marks
Find class marks of class intervals 10 - 20, 20 - 30, 30 - 40.
2 Marks
A company manufactures car batteries. Lifetimes (in yrs) of 6 batteries are 2.6, 3.0, 3.7, 3.2, 2.2, 4.1. Find mean lifetime.
2 Marks
Construct grouped frequency table for data with class width 5 starting from 0 - 5.
2 Marks
State difference between Bar Graph and Histogram.
3 Marks
A random survey of number of children in different age groups playing in a park was found: Age (1-2: 5, 2-3: 3, 3-5: 6, 5-7: 12, 7-10: 9, 10-15: 10). Adjust lengths of rectangles for histogram.
3 Marks
Following table gives life time of 400 neon lamps: Life time (300-400: 14, 400-500: 56, 500-600: 60, 600-700: 86, 700-800: 74, 800-900: 62, 900-1000: 48). (i) Represent on histogram (ii) Find lamps with lifetime ≥ 700 hrs.
3 Marks
The runs scored by two teams A and B on first 60 balls in a cricket match are given. Represent data of both teams on same graph using frequency polygons.
3 Marks
100 surnames were randomly picked from a telephone directory. Class intervals (1-4: 6, 4-6: 30, 6-8: 44, 8-12: 16, 12-20: 4). Draw histogram.
4 Marks
Case Study Scenario: A blood donation camp collected blood groups of 30 students: O, A, B, AB, O, A, O, B, A, O, O, A, AB, O, A, O, O, AB, B, A, O, B, A, O, O, A, B, O, F, O. Question: Find most common and rarest blood group.
4 Marks
Case Study Scenario: Relative humidity (in %) of a city for 30 days was recorded: 98.1, 98.6, 99.2, 90.3, 86.5, 95.3, 92.9, 96.3, 94.2, 95.1, 89.2, 92.3, 97.1, 93.5, 92.7, 95.1, 97.2, 93.3, 95.2, 97.3, 96.2, 92.1, 84.9, 90.2, 95.7, 98.3, 97.3, 96.1, 92.1, 89.0. Question: Find range of data and season it represents.
5 Marks
Following are marks obtained by 50 students in mathematics test out of 100: Construct grouped frequency table with class size 10 starting 0-10.
5 Marks
Given data of expenditure of a family on various heads per month: House Rent ₹4000, Food ₹6000, Education ₹3000, Electricity ₹1000, Savings ₹2000. Draw bar graph.
5 Marks