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Maths 5 Marks Questions

Data Handling – I (Presentation of Data) · Uttarakhand Board (UBSE) STD 6 (Uttarakhand - English Medium). 2 questions.

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Question 15 Marks
In a mathematics test following marks were obtained by $40$ students of class $VI$. Arrange these marks in a table using, tally marks.
$8$
$1$
$3$
$7$
$6$
$5$
$5$
$4$
$4$
$2$
$4$
$9$
$5$
$3$
$7$
$1$
$6$
$5$
$2$
$7$
$7$
$3$
$8$
$4$
$2$
$8$
$9$
$5$
$8$
$6$
$7$
$4$
$5$
$6$
$9$
$6$
$4$
$4$
$6$
$6$
$i.\ $Find how many students obtained marks equal to or more than $7$?
$ii.\ $How many students obtained marks below $4$?
Answer
Frequency distribution of the given marks in Mathematics:

$i.\ $Number of students who have obtained marks equal to or more than $7$
$=$ frequency of $7 +$ frequency of $8 +$ frequency of $9 = 5 + 4 + 3 = 12$
$ii.\ $Numbers of students who have scored below $4$
$ =$Frequency of $1 +$ frequency of $2 +$ frequency of $3 = 2 + 3 + 3 = 8$
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Question 25 Marks
Following figures relate the weekly wages $($in $Rs.)$ of $15$ workers in a factory: $300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150, 300, 150, 200, 250$ Prepare a frequency table
$i.\ $What is the range in wages $($in $Rs.)$?
$ii.\ $How many Workers are getting $Rs. 350$?
$iii.\ $How many of workers are getting the minimum wages?
Answer
Frequency distribution of the given weekly wages of $15$ workers:

$i.\ $Minimum wages $= Rs. 150$ Maximum wage $= Rs. 350$
Therefore, Range = Maximum wage $-$ Minimum wage
$= Rs. 350 - Rs. 150$
$= Rs. 200$
$ii.\ $Number of workers getting $Rs. 350 = 1$ worker
$iii.\ $Here, Minimum wages $Rs. 150$ Number of workers getting $Rs. 150 = 3$ workers.
Therefore, number of workers getting minimum wages $= 3$ workers.
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