Data And Their Representations
NIOS · Class 10 · Maths
Most important questions from Data And Their Representations for NIOS Class 10 Maths board exam 2026. MCQs, short answer, and long answer questions with marks.
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In a frequency table, if the first three cumulative frequencies are 5, 12, 20, what is the frequency of the third class?
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8
Step 1: Frequency of a class = Cumulative frequency of that class - Cumulative frequency of previous class. Step 2: Given cumulative frequencies: 1st = 5, 2nd = 12, 3rd = 20. Step 3: Frequency of 3rd class = 20 - 12 = 8. Step 4: Therefore, the frequency of the third class is 8.
If a class interval is 40-50 and the class size is 10, what would be the next class interval?
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50-60
Step 1: In continuous class intervals, the upper limit of one class becomes the lower limit of the next class. Step 2: Given class: 40-50 with class size 10. Step 3: Next class starts from 50 (upper limit of current class). Step 4: With class size 10, next class = 50-60.
A histogram shows frequencies 5, 8, 12, 9, 6 for five classes. What is the total frequency?
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40
Step 1: Total frequency = Sum of all individual frequencies. Step 2: Given frequencies: 5, 8, 12, 9, 6. Step 3: Total frequency = 5 + 8 + 12 + 9 + 6 = 40. Step 4: Therefore, the total frequency is 40.
In a bar graph showing favorite sports, Cricket has 15 votes, Football has 12 votes, and Tennis has 8 votes. How many more votes does Cricket have than Tennis?
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7
Step 1: Find the difference between Cricket and Tennis votes. Step 2: Cricket votes = 15, Tennis votes = 8. Step 3: Difference = 15 - 8 = 7. Step 4: Therefore, Cricket has 7 more votes than Tennis.
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