3 Marks Question

Question 13 Marks

Construct a frequency distribution table for the following marks obtained by $$ students in a history test in class $VI$ of a school: $9, 17, 12, 20, 9, 18, 25, 17, 19, 9, 12, 9,12, 18, 17,19, 20,25, 9, 12, 17, 19, 19, 20, 9$

What is the range of marks?
What is the highest mark?
Which mark is occurring more frequently?

Answer

Required frequency-distribution table:

Marks	Frequency
$9$	$6$
$12$	$4$
$17$	$4$
$18$	$2$
$19$	$4$
$20$	$3$
$25$	$2$

Range of marks: $25 – 9 = 16.$
The highest mark is $25.$
$9$ is occurring most frequently.

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Question 23 Marks

Following is the choice of sweets of $30$ students of class $VI$: Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi Rasgulla, Ladoo. Rasgulla, Jalebi, Ladoo. Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla. Rasgulla, Ladoo.
$i.$ Arrange the names of sweets in a table using tally marks.
$ii.$ Which sweet is preferred by most of the students?

Answer

$i.$

Sweet	Tally Marks	Frequency
Ladoo	$llll\ llll\ ll$	$12$
Barfi	$lll$	$3$
Jalebi	$llll\ l$	$6$
Rasgulla	$llll\ llll$	$9$

$ii.$ Ladoo is preferred by most of the students, $12$ students.

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Question 33 Marks

Prepare a frequency table of the following scores obtained by $50$ students in a test:

$42$	$51$	$21$	$42$	$37$	$37$	$42$	$49$	$38$	$52$
$7$	$33$	$17$	$44$	$39$	$7$	$14$	$27$	$39$	$42$
$42$	$62$	$37$	$39$	$67$	$51$	$53$	$53$	$59$	$41$
$29$	$38$	$27$	$31$	$54$	$19$	$53$	$51$	$22$	$61$
$42$	$39$	$59$	$47$	$33$	$34$	$16$	$37$	$57$	$43$

Answer

Marks	No. of Students
$7$	$2$
$14$	$1$
$16$	$1$
$17$	$1$
$19$	$1$
$21$	$1$
$22$	$1$
$27$	$2$
$29$	$1$
$31$	$1$
$33$	$2$
$34$	$1$
$37$	$4$
$38$	$2$
$39$	$4$
$41$	$1$
$42$	$6$
$43$	$1$
$44$	$1$
$47$	$1$
$49$	$1$
$51$	$3$
$52$	$1$
$53$	$3$
$54$	$1$
$57$	$1$
$59$	$2$
$61$	$1$
$62$	$1$
$67$	$1$

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Question 43 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 workers are getting the minimum wages?

Answer

Frequency Distribution Table is

Wages $($in $Rs.)$	Number of Workers
$150$	$3$
$200$	$5$
$250$	$4$
$300$	$2$
$350$	$1$

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Question 53 Marks

In a mathematics test following marks were obtained by $40$ students of class $VI$. Arrange these marks in a table using, tally marks.

$8$	$1$	$3$	$7$	$6$	$5$	$5$	$4$	$4$	$2$
$4$	$9$	$5$	$3$	$7$	$1$	$6$	$5$	$2$	$7$
$7$	$3$	$8$	$4$	$2$	$6$	$9$	$5$	$8$	$6$
$7$	$4$	$5$	$6$	$9$	$6$	$4$	$4$	$6$	$6$

$i.$ Find how many students obtained marks equal to or more than $7$?
$ii.$ How many students obtained marks below $4$?

Answer

The Frequency Distribution Table is:

Marks	Tally Marks	Frequency
$1$	$ll$	$2$
$2$	$lll$	$3$
$3$	$lll$	$3$
$4$	$llll\ ll$	$7$
$5$	$llll\ l$	$6$
$6$	$llll\ ll$	$7$
$7$	$llll$	$5$
$8$	$llll$	$4$
$9$	$lll$	$3$

$i. 12$ students obtained marks equal to or more than $7$.
$ii.$ Only $8$ students obtained marks below $4$.

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$8$	$1$	$3$	$7$	$6$	$5$	$5$	$4$	$4$	$2$
$4$	$9$	$5$	$3$	$7$	$1$	$6$	$5$	$2$	$7$
$7$	$3$	$8$	$4$	$2$	$6$	$9$	$5$	$8$	$6$
$7$	$4$	$5$	$6$	$9$	$6$	$4$	$4$	$6$	$6$

$8$	$1$	$3$	$7$	$6$	$5$	$5$	$4$	$4$	$2$
$4$	$9$	$5$	$3$	$7$	$1$	$6$	$5$	$2$	$7$
$7$	$3$	$8$	$4$	$2$	$6$	$9$	$5$	$8$	$6$
$7$	$4$	$5$	$6$	$9$	$6$	$4$	$4$	$6$	$6$

Maths 3 Marks Question

Take a timed test

$8$	$1$	$3$	$7$	$6$	$5$	$5$	$4$	$4$	$2$
$4$	$9$	$5$	$3$	$7$	$1$	$6$	$5$	$2$	$7$
$7$	$3$	$8$	$4$	$2$	$6$	$9$	$5$	$8$	$6$
$7$	$4$	$5$	$6$	$9$	$6$	$4$	$4$	$6$	$6$