Graphical Representation of Statistical Data - ICSE STD 10 Mathematics Questions

During the medical check-up of 35 students of a class, their heights were recorded as follows:

Height (in cm)	No. of students
Less than 38	0
Less than 40	3
Less than 42	5
Less than 44	9
Less than 46	14
Less than 48	28
Less than 50	32
Less than 52	35

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Q 2[3 marks sum]3 Marks

Make a less than cumulative frequency table for the given frequency distribution.

I.Q.	60-70	70-80	80-90	90-100	100-110	110-120	120-130
Frequency	2	5	12	31	39	10	4

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Q 3[3 marks sum]3 Marks

Construct the more than cumulative frequency table for the given data :

Marks	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
Frequency	3	8	12	14	10	6	5	2

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Q 4[3 marks sum]3 Marks

Draw the histogram for the given data :

Marks	0 - 20	20 - 40	40 - 60	60 - 100
Number of students	10	15	20	25

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Q 5[3 marks sum]3 Marks

Draw a histogram to represent the following frequency distribution, find the adjusted frequency for the class 25 – 45.

Class-interval	5 - 10	10 - 15	15 - 25	25 - 45	45 - 75
Frequency	6	12	10	8	15

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Q 6[4 marks sum]4 Marks

Draw an ogive for the following data:

Marks	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60
No. of students	7	10	23	51	6	3

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Q 7[4 marks sum]4 Marks

The following distribution table shows the I.Q. level of 270 candidates appearing for a competitive exam.

I.Q.	55 - 69	69 - 83	83 - 97	97 - 111	111 - 125
No. of candidates	20	50	75	75	50

Draw a histogram for this distribution.

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Q 8[4 marks sum]4 Marks

The following histogram shows the ages of teachers in a school.
Read the histogram and answer the questions that follow:

(a) How many teachers are in the age group of 45 – 50 years?
(b) How many teachers are 40 years or above 40 years of age?
(c) How many teachers are below 35 years of age?
(d) Which age group has the maximum number of teachers?
(e) Which age group has the minimum number of teachers?

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Q 9[4 marks sum]4 Marks

Following is the data of maximum temperatures recorded in 20 days in a city:
$\begin{aligned}& 10^{\circ} \mathrm{C}, 12^{\circ} \mathrm{C}, 15^{\circ} \mathrm{C}, 40^{\circ} \mathrm{C}, 25^{\circ} \mathrm{C}, 20^{\circ} \mathrm{C}, 30^{\circ} \mathrm{C}, 28^{\circ} \mathrm{C}, 25^{\circ} \mathrm{C}, 27^{\circ} \mathrm{C}, 18^{\circ} \mathrm{C}, 32^{\circ} \mathrm{C}, 34^{\circ} \mathrm{C}, 27^{\circ} \mathrm{C}, 29^{\circ} \mathrm{C}, 16^{\circ} \mathrm{C}, 37^{\circ} \mathrm{C}, 35^{\circ} \mathrm{C}, \\& 33^{\circ} \mathrm{C}, 22^{\circ} \mathrm{C} .\end{aligned}$
Prepare the frequency table and draw a histogram to represent the above data.

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Q 10[4 marks sum]4 Marks

The given histogram depicts the daily wages of workers in a factory. Construct the frequency table.

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Q 11MCQ1 Mark

The given histogram shows the heights of cherry trees. The correct statement among the options is:

A
Total number of trees is 31.
B
The most common range of height of trees is 70 – 75 feet.
C
Least common range of height is 85 – 95 feet.
D
The range of height 60 – 65 feet has minimum number of trees.

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Q 12MCQ1 Mark

The range of the following data is: 26, 21, 33, 17, 14, 15, 27

A
13
B
17
C
15
D
19

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Q 13MCQ1 Mark

The adjoining histogram shows the heights of a group of people. Percentage of people in the height range 149.5 – 159.5 is equal to:

A
0.3%
B
0.205%
C
0.2%
D
0.33%

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Q 14MCQ1 Mark

A die is thrown 50 times. The table below shows the distribution of outcomes. The frequency of getting a number greater than 2 but less than or equal to 5 is :

Number on dice	1	2	3	4	5	6
Frequency	10	12	6	4	8	10

A
10
B
22
C
12
D
18

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Q 15MCQ1 Mark

________ of the data is the difference between the maximum and the minimum values of the observation.

A
Median
B
Mean
C
Range
D
Mode

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Q 16Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A) : To construct a frequency polygon for a given frequency distribution, we first calculate the class marks of the given class-intervals.
Reason (R) : To construct a frequency polygon, we take class marks along $y$-axis and corresponding frequencies along $x$-axis.

✓
A is true, R is false.
B
A is false, R is true.
C
Both A and R are true, and R is the correct reason for A .
D
Both A and R are true, and R is incorrect reason for A .

Answer: A.

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Q 17Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A) : In a histogram, there being no gap between any two successive rectangles.
Reason (R) : A histogram is a graphical representation of a frequency distribution in continuous form.

A
A is true, R is false.
B
A is false, R is true.
✓
Both A and R are true, and R is the correct reason for A .
D
Both A and R are true, and R is incorrect reason for A .

Answer: C.

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Graphical Representation of Statistical Data question types

Graphical Representation of Statistical Data questions

Generate a Graphical Representation of Statistical Data paper free

Graphical Representation of Statistical Data Mathematics - Graphical Representation of Statistical Data

Graphical Representation of Statistical Data question types

Graphical Representation of Statistical Data questions

Generate a Graphical Representation of Statistical Data paper free