Statistics — Important Questions
Gujarat Board · Class 9 · Mathematics
45 important questions from Statistics for Gujarat Board Class 9 Mathematics, with answers. Covers Bar Graphs, Histograms and Frequency Polygons.
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Important Questions from Statistics
Which of the following are advantages of graphical representation over tabular data? (Select all correct answers)
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Easy comparison of data, Visual impact is better, Shows trends clearly
Graphical representation makes comparison easier, has better visual impact, and shows trends clearly. However, it doesn't necessarily take less space or provide more accuracy than tables.
In a frequency polygon, if we have classes 10-20, 20-30, 30-40 with frequencies 5, 8, 3 respectively, what are the coordinates of the three main points?
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(15, 5), (25, 8), (35, 3)
For frequency polygon, plot class marks with frequencies: Class 10-20 has class mark 15, Class 20-30 has class mark 25, Class 30-40 has class mark 35. Points are (15,5), (25,8), (35,3).
A histogram has unequal class widths. Class 0-10 (width 10) has frequency 20, and class 10-25 (width 15) has frequency 30. What is the ratio of their heights in the histogram?
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1:1
For unequal widths, height = frequency/width. Height₁ = 20/10 = 2, Height₂ = 30/15 = 2. Ratio = 2:2 = 1:1. This ensures areas remain proportional to frequencies.
In a bar graph showing favorite subjects, Mathematics has 40 students, Science has 35 students, English has 25 students, and Social Studies has 20 students. What percentage of students chose Mathematics?
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33.33%
Total students = 40 + 35 + 25 + 20 = 120. Percentage choosing Mathematics = (40/120) × 100 = 33.33%. Common mistake: using 40 directly as percentage or wrong total calculation.
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