Question types

Data Handling – I (Classification and Tabulation of Data) question types

29 questions across 3 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

29
Questions
3
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5
Question types
Sample Questions

Data Handling – I (Classification and Tabulation of Data) questions

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

The following is the distribution of weights $($in $kg)$ of $52$ persons:
Weight in kg
Persons
$30-40$
$10$
$40-50$
$15$
$50-60$
$17$
$60-70$
$6$
$70-80$
$4$
$i.$ What is the lower limit of class $50-60?$
$ii.$ Find the class marks of the classes $40-50, 50-60.$
$iii.$ What is the class size?
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The marks obtained by $40$ students of class VIII in an examination are given below: $16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13,21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7,$ $ 9, 12, 20,10, 2, 23.$ Divide the data into five groups, namely $0-5, 5-10, 10-15, 15-20$ and $20-25$ and prepare a grouped frequency table.
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The heights (in cm) of $30$ students of class $VIII$ are given below: $155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, $ $156, 160, 152, 147,155, 163, 155, 157, 153.$ Prepare a frequency distribution table with $160-164$ as one of the class intervals.
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A die was thrown $25$ times and following scores were obtained: $1, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2, 6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2.$ Prepare a frequency table of the scores.
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The marks scored by $20$ students in a test are given below: $54, 42, 68, 56, 62, 71, 78, 51, 72, 53, 44, 58, 47, 64, 41, 57, 89, 53, 84, 57.$ Complete the following frequency table:
(Marks in class intervals) Tally marks Frequency (no. of children)
$40-50$    
$50-60$    
$60-70$    
$70-80$    
$80-90$    
What is the class interval in which the greatest frequency occurs$?$
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Construct a frequency table with class-intervals $0-5$ ($5$ not included) of the following marks obtained by a group of $30$ students in an examination. $0, 5, 7, 10, 12, 15, 20, 22, 25, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 29, 31, 35, 37, 40, 42,45, 49, 4, 50, 16$.
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The marks scored by $40$ students of class VIII in mathematics are given below: $81, 55, 68, 79, 85, 43, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54$. Prepare a frequency distribution with class size of $10$ marks.
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Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of $28$ labourers working in a factory, taking one of the class intervals as $210-230 (230$ not included$): 220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.$
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Construct a frequency distribution table for the following marks obtained by $25$ students in a history test in class $\text{VIII}$ of a school: $9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9, 12, 18, 17, 19, 20, 25, 9, 12, 17, 19, 19, 20, 9.$
$i.$ What is the range of marks?
$ii.$ What is the highest mark?
$iii.$ Which mark is occurring more frequently?
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The monthly wages of $30$ workers in a factory are given below:
$830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.$
Represent the data in the form of a frequency distribution with class size $10$.
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