Question types

Data Handling question types

61 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

61
Questions
7
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 following are the ages (in years) of 12 teachers in a school : 36, 44, 39, 46, 35, 53, 38, 42, 55, 45, 49, 40
Arrange the above data in an ascending order and answer the questions given below : What is the range of the ages of the teachers in the school?
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A dice was thrown 30 times and the following outcomes were noted :
1, 3, 3, 2, 5, 4, 4, 6, 1, 2, 2, 3, 4, 6, 2, 3, 3, 4, 1, 2, 3, 3, 4, 5, 6, 3, 2, 1, 3, 4
Represent the above data in the form of frequency distribution.
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The number of children in 25 families are given below :
2, 2, 1, 4, 2, 3, 2, 2, 1, 1, 1, 3, 4, 3, 2, 0, 1, 3, 3, 1, 2, 4, 2, 0, 2
Represent the above data in the form of frequency distribution.
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Q 12[3 marks sum]3 Marks
The maximum daily temperatures (in ${ }^{\circ} C$ ) of a city during a week are given below :
28.9, 32.6, 24.6, 26.1, 29.2, 30 and 27.4
Find the range of the data.
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Q 13[3 marks sum]3 Marks
The following are the ages (in years) of 12 teachers in a school : 36, 44, 39, 46, 35, 53, 38, 42, 55, 45, 49, 40
Arrange the above data in an ascending order and answer the questions given below : What is the mean age of the teachers in the school?
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Q 14[3 marks sum]3 Marks
The following are the ages (in years) of 12 teachers in a school : 36, 44, 39, 46, 35, 53, 38, 42, 55, 45, 49, 40
Arrange the above data in an ascending order and answer the questions given below : What is the age of the youngest teacher in the school?
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Q 15[3 marks sum]3 Marks
In a one-day cricket match, the runs scored by the players of a team are
6, 10, 16, 20, 8, 19, 30, 57, 2, 0, 8.
Find the mean score.
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Q 16[4 marks sum]4 Marks
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Q 17[4 marks sum]4 Marks
In India, the Census is held every 10 years to count the whole population of the country. In a particular Census, the data of the number of children in 25 families of a village was provided as :
1, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 3, 4, 3, 1, 1, 2, 1, 2, 3, 2, 4, 1, 2, 2.
Rahul works in the analytics department of the Census. He was given the task of analysing this data of the 25 families of this village.
Q.1. How many families have 3 children?
(a) 2 $\quad$$\quad$(b) 3$\quad$$\quad$ (c) 5$\quad$$\quad$ (d) 6
Q.2. The cumulative frequency of families having 3 children is :
(a) 13$\quad$$\quad$(b) 17$\quad$$\quad$ (c) 18$\quad$$\quad$ (d) 22
Q.3. The mean number of children in these 25 families is :
(a) 1.96 $\quad$$\quad$(b) 2.04$\quad$$\quad$ (c) 2.85$\quad$$\quad$ (d) 3.15
Q.4. The median of the number of children in these 25 families is :
(a) 1 $\quad$$\quad$(b) 2 $\quad$$\quad$(c) 3$\quad$$\quad$ (d) 4
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Q 18[4 marks sum]4 Marks
Read the bar graph given below :
Image
Answer the following questions :
(i) What information is given by the bar graph?
(ii) What was the wheat production in 2010?
(iii) In which year the production was minimum?
(iv) In which year there was maximum increase in production of wheat?
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Q 19[4 marks sum]4 Marks
Read the given bar graph and answer the questions that follow :
Image
(i) What information is represented by the bar graph?
(ii) How many marks were obtained in English?
(iii) In which subject least marks were obtained?
(iv) What was the total marks obtained in all the subjects together?
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Q 20[4 marks sum]4 Marks
The air distances of four cities from Delhi (in km) are given below :
City Kolkata Chennai Mumbai Hyderabad
Distance from Delhi (in km) 1340170011001220
Draw a bar graph to represent the above data.
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Q 32MCQ1 Mark
The Empirical formula for calculating mode is
  • A
    Mode = Mean + Median
  • Mode = 3(Median)-2 (Mean)
  • C
    Mode = 2(Median)-3 (Mean)
  • D
    Mode = Median + 3(Mean)

Answer: B.

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Q 33MCQ1 Mark
For n observations arranged in an array, if n is odd, then median is the value of observation.
  • A
    $\left(\frac{n}{2}\right) t h$
  • $\left(\frac{n+1}{2}\right) t h$
  • C
    $\left(\frac{n}{2}+1\right) t h$
  • D
    $\left(\frac{n}{2}-1\right) t h$

Answer: B.

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Q 34MCQ1 Mark
The mean of $n$ observations $x_1, x_2, \ldots, x_n$ is equal to
  • A
    $n \Sigma x_i$
  • B
    $n \sum x_i{ }^2$
  • C
    $\Sigma x_i$
  • $\frac{\Sigma x_i}{n}$

Answer: D.

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Q 35MCQ1 Mark
The range of the data given below, is 16, 5, 27, 15, 11, 56, 28, 17, 35, 8, 43
  • A
    5
  • B
    28
  • 51
  • D
    56

Answer: C.

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