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Presentation of data Statistics - Presentation of data

Gujarat Board (GSEB) - STD 11 Commerce - Statistics (GSEB - English Medium). 64 questions in this chapter.

Question types

Presentation of data question types

64 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

64
Questions
6
Question groups
5
Question types
Sample Questions

Presentation of data questions

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

Q 1MCQ1 Mark
What is the result of classification of the ungrouped data related to "Daily Production of screws in a factory"?
  • A
    Qualitative classification
  • B
    Tabulation
  • C
    Simple classification
  • ✓
    Frequency distribution

Answer: D.

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Q 4MCQ1 Mark
For which diagram, there is no barrier of language ?
  • A
    Bar diagram
  • ✓
    Pictogram
  • C
    Pie diagram
  • D
    Circle diagram

Answer: B.

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Q 5MCQ1 Mark
In a pie diagram, the total volume of the data is equal to how many degrees?
  • ✓
    $360^{\circ}$
  • B
    $90^{\circ}$
  • C
    $180^{\circ}$
  • D
    $150^{\circ}$

Answer: A.

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Q 112 Mark Each2 Marks
The data regarding the students studying in a school according to their standard are as under. Present it through a bar diagram.
Standard9101112
No. of students65605550
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Q 132 Mark Each2 Marks
The following frequency distribution refers to the absence of teachers in the academic staff of a school during 30 days. Prepare cumulative frequency distribution of 'more than type'.
No. of absent days0123456
No. of teachers5756421
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Q 142 Mark Each2 Marks
Frequency distribution of number of cars arrived on different days at a service station is as follows.
No. of cars 5 6 7 8 9 10
No. of days 5 10 15 8 7 5
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Q 152 Mark Each2 Marks
Complete the following table :
Worker Total
Local Non-local
MenWomenTotalMenWomenTotalMenWomenTotal
20101200 1500300 500
2015 600 300100 2300
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Q 163 Marks Each3 Marks
Number of children in $30$ families staying in a society of a city are as follows. Prepare a frequency distribution from the given data.
$\text {0 1 0 2 2 1 1 2 2 3 2 1 1 2 1 1 2 2 3 3 1 1 2 2 2 3 0 2 1 1}$
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Q 173 Marks Each3 Marks
The expenditure incurred for constructing a bridge is as follows. Present it by a pie diagram.
Particulars Labour Cement Bricks and sand Grit Iron Supervision Total
Expenditure(Crore ₹ ) $10$ $8$ $2$ $6$ $8$ $6$ $40$
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Q 183 Marks Each3 Marks
The data of production and sales of goods of a factory are as follows. Represent it by a suitable diagram.
Year $2014$ $2015$ $2016$ $2017$
Production (Crore $₹$) $10$ $12$ $14$ $16$
Sales (Crore $₹$) $9$ $12$ $15$ $17.5$
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Q 193 Marks Each3 Marks
The data of cloth production (in meters) of a cotton textile mill during three years are as follows. Represent it through a circle diagram :
Year $2015$ $2016$ $2017$
Production (meter) $3,60,000$ $4,90,000$ $6,40,000$
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Q 203 Marks Each3 Marks
Present the following data in a table :
There are total $300$ students in standard $11$ and $12$ of a
school and $160$ of them are boys. There are total $140$
students in standard $11$ and $80$ of them are girls.
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Q 214 Marks Each4 Marks
The workers in a factory are working in two shifts. Total number of workers is $5000$ . There are $2000$ workers in the first shift. In this shift, among the local workers, the number of male workers is $1200$ and the number of female workers is $300$ . In the second shift, among the local workers, the number of male workers is $2000$ and the number of female workers is $600$ . There are total $1200$ female workers in the factory, of them $500$ female workers are working in the first shift. Present the data in a tabular form.
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Q 224 Marks Each4 Marks
There were $1000$ students in a school. The number of students in standard $10,11,12$ were in the proportion of $2: 2: 1.25 \%$ of the total number of students in standard $10$ were boys. The number of boys were three times the number of girls in standard $11$. The numbers of boys and girls were equal in standard $12$. Present the data in a tabular form.
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Q 234 Marks Each4 Marks
Represent the following data in an appropriate table. $800$ candidates appeared for a public examination. Of these candidates, the number of boys exceeded number of girls by $20 \%$ of the total candidates. The number of candidates passed exceeded the number of candidates failed by $420$ . The number of boys failed were $130$ .
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Q 244 Marks Each4 Marks
The data of daily average income (in $₹$ ) for $40$ hawkers of a city are as follows. Prepare an exclusive frequency distribution having classlength $100$ and midvalue of one of the classes as $650$ .
$\text{539 476 513 436 453 670 953 972 691 587}$
$\text{822 999 469 447 442 680 513 560 737 687}$
$\text{1044 891 560 481 478 460 476 563 558 1080}$
$\text{1033 707 660 602 503 493 504 443 550 900}$
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Q 254 Marks Each4 Marks
Marks obtained by $30$ students in an examination of $100$ marks are as follows. Prepare an inclusive continuous frequency distribution of equal class lengths and having $30-39$ as its first class.
$\text{72 81 80 62 75 58 66 85 36 80 88 82 40 34 54}$
$\text{57 57 68 34 41 53 49 64 46 39 57 73 52 58 44}$
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Q 265 Mark Each5 Marks
$200$ students of science stream cast their votes in an election of a higher secondary school and $40 \%$ of them were girls. The numbers of students in standard $11$ and $12$ were equal. $10 \%$ of the votes cast were invalid. The proportion of valid votes cast in standard $11$ and $12$ was $7: 8$. Of them, $40$ girls were from standard $11$ and $38$ girls were from standard $12$ . The number of invalid votes of boys and girls of standard $12$ were equal. Present the data in a tabular form.
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Q 275 Mark Each5 Marks
The data of retail price (in $₹$) of an item for $40$ days are as follows. Prepare an inclusive frequency distribution having classlength 1 and one class $19-19.99$.
$\text{20.75 21.30 20.50 18.20 17.00 17.65 18.70 21.87}$
$\text{19.40 21.30 18.35 22.45 23.15 22.95 22.18 20.26}$
$\text{22.25 23.43 24.20 23.80 23.50 23.60 24.80 24.10}$
$\text{23.45 23.56 23.95 23.00 23.80 24.30 24.52 18.65}$
$\text{18.40 17.42 18.10 23.60 18.65 24.35 24.15 22.18}$
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Q 285 Mark Each5 Marks
Marks obtained by $50$ students in a test of $50$ marks are as follows :
$\text{16 18 27 31 43 25 28 30 29 15}$
$\text{20 27 31 34 39 41 22 28 31 16}$
$\text{21 29 38 24 30 24 26 17 30 22}$
$\text{28 35 23 18 24 32 37 27 32 38}$
$\text{19 25 33 25 29 25 34 45 26 24}$
$(i)$ From these data, prepare a frequency distribution by taking class length $5$ .
$(ii)$ Obtain 'less than' and 'more than' type cumulative frequency distribution.
$(iii)$ If standard of passing is $20$ marks, then how many students have failed ?
$(iv)$ If at least $30$ marks are required to get first class, find the number of students in this category.
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Q 295 Mark Each5 Marks
The frequency distribution of monthly saving of $400$ persons is as follows :
Saving $(₹)$ $0-1000$ $1001-2000$ $2001-3000$ $3001-4000$ $4001-6000$ $6001$ and more
No. of persons $25$ $40$ $50$ $150$ $90$ $45$
Answer the following questions from the frequency distribution :
$(i)$ Find the midvalue of the third class.
$(ii)$ Find the lower boundry point of the open ended class.
$(iii)$ Find number of persons having the saving more than $₹ 1000$ and less than $₹ 4001$.
$(iv)$ Find the class length of the fourth class.
$(v)$ Find number of persons having the saving of $₹ 4000$ or less.
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