Question types

Data Handling question types

20 questions across 2 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

20
Questions
2
Question groups
5
Question types
Sample Questions

Data Handling questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The weekly wages (in rupees) of 28 workers of a factory are given below: $668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656$. Construct a frequency table with equal class intervals, taking the first of the class intervals as $610-630$, where $630$ is not included.
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A dice was thrown 30 times and the following outcomes were noted: 2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4. Prepare a frequency table.
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The number of members in $20$ families are given below: $4, 6, 5, 5, 4, 6, 3, 3, 5, 5, 3, 5, 4, 4, 6, 7, 3, 5, 5, 7$. Prepare a frequency distribution of the data.
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The following data gives the number of children in $40$ families:
$1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2$.
Represent it in the form of a frequency distribution.
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The daily earnings (in rupees) of $24$ stores in a market was recorded as under:
$715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700.$
Prepare a frequency table taking equal class sizes. One such class is $500-550$, where $550$ is not included.
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Look at the histogram given below and answer the question that follow:

$i.$ How many students have height more than or equal to $135\ cm$ but less than $150\ cm?$
$ii.$ Which class interval has the least number of students?
$iii.$ What is the class size?
$iv.$ How many students have height less than $140\ cm?$
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The histogram given below shows the number of literate females in the age group of $10$ to $40$ years. Study the histogram carefully and answer the question that follow:

$i.$ Write the classes, assuming that all the classes are of equal width.
$ii.$ What is the class width?
$iii.$ In which age group are the literate females the least?
$iv.$ In which age group is the number of literate females the highest?
Hint. Number of class intervals of equal width $= 6 ($given$)$, class width $=\frac{(40-10)}{6}=5.$
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Draw a histogram for the frequency distribution of following data:
Class interval
$8-13$
$13-18$
$18-23$
$23-28$
$28-33$
$33-38$
$38-43$
Frequency
$320$
$780$
$160$
$540$
$260$
$100$
$80$
Hint. Take 1 small division $= 10.$
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Draw a histogram for the frequency distribution of following data:
Class interval
$20-25$
$25-30$
$30-35$
$35-40$
$40-45$
$45-50$
Frequency
$30$
$24$
$52$
$28$
$46$
$10$
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Draw a histogram for the following data:
Class interval
$600-640$ $640-680$
$680-720$
$720-760$
$760-800$
$800-840$
Frequency
$18$ $45$
$153$
$288$
$171$
$63$
Hint. Take $1$ small division $= 3.$
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