5 Marks Questions

Question 15 Marks

Look at the histogram given below and answer the question that follow:

$i.$ How many students have height more than or equal to $135\ cm$ but less than $150\ cm?$
$ii.$ Which class interval has the least number of students?
$iii.$ What is the class size?
$iv.$ How many students have height less than $140\ cm?$

Answer

$i.$ Number of students $= 14 + 18 + 10 = 42$

$ii.$ Class interval with least number of students $= 150 - 155$

$iii.$ Class size $= 130 - 125 = 5$

$iv.$ Number of students with height less than $140 = 14 + 8 + 6 = 28$

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Question 25 Marks

The histogram given below shows the number of literate females in the age group of $10$ to $40$ years. Study the histogram carefully and answer the question that follow:

$i.$ Write the classes, assuming that all the classes are of equal width.
$ii.$ What is the class width?
$iii.$ In which age group are the literate females the least?
$iv.$ In which age group is the number of literate females the highest?
Hint. Number of class intervals of equal width $= 6 ($given$)$, class width $=\frac{(40-10)}{6}=5.$

Answer

$i.$ Age group $= 10$ to $40$
Given all the classes are of equal width
Number of class interval of equal width $= 6$
Class width $=\frac{40-10}{6}=5$
Classes are $10-15,15-20, 20-25, 25-30, 30-35, 35-40$
$ii.$ Class width $ = \frac{40−10}{6}=5$
$iii.$ Age group with least literate females $= 10-15$
$iv.$ Age group with highest literate females $= 15-20$

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Question 35 Marks

Draw a histogram for the frequency distribution of following data:

Class interval	$8-13$	$13-18$	$18-23$	$23-28$	$28-33$	$33-38$	$38-43$
Frequency	$320$	$780$	$160$	$540$	$260$	$100$	$80$

Hint. Take 1 small division $= 10.$

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Question 45 Marks

Draw a histogram for the frequency distribution of following data:

Class interval	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$
Frequency	$30$	$24$	$52$	$28$	$46$	$10$

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Question 55 Marks

Draw a histogram for the following data:

Class interval	$600-640$	$640-680$	$680-720$	$720-760$	$760-800$	$800-840$
Frequency	$18$	$45$	$153$	$288$	$171$	$63$

Hint. Take $1$ small division $= 3.$

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Question 65 Marks

The top speeds of $30$ different land animals have been organised into a frequency table given below:

Maximum speed (in km/ h)	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Number of animals	$3$	$5$	$10$	$8$	$0$	$2$

Draw a histogram for the given data.

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Question 75 Marks

The following table shows the number of illiterate persons in the age group ($10–58$ years) in a town. Represent the given data by means of a histogram.

Age group (in years)	$10-18$	$18-26$	$26-34$	$34-42$	$42-50$	$50-58$
Number of illiterate persons	$175$	$325$	$100$	$150$	$250$	$525$

Hint. Take $1$ small division $= 5$ persons.

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Question 85 Marks

The ages (in years) of $360$ patients treated in a hospital on a particular day are given below:

Age (in years)	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Number of patiets	$90$	$40$	$60$	$20$	$120$	$30$

Draw a histogram for the given data. Hint. Take $10$ small divisions $= 10$ patients.

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Question 95 Marks

The weights (in kg) of $30$ students of a class are- $39, 43, 32, 37, 29, 26, 31, 45, 46, 31, 37, 38, 30, 39, 36, 41, 35, 34, 41, 46, 39, 38,$ $36, 38, 40, 42, 33, 43, 44, 33$. Prepare a frequency distribution table using one class interval as $30-35$, in which $30$ is included and $35$ excluded. Using the above data. draw a histogram.

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Question 105 Marks

The marks obtained (out of 20) by 30 students of a class in a test are given below: $7, 10, 8, 16, 13, 14, 15, 11, 18, 11, 15, 10, 7, 14,$ $20, 19, 15, 16, 14, 20, 10, 11, 14, 17, 13, 12, 15, 14, 16, 17.$ Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval in $3-8$ (including $2$ and excluding $8$). From the frequency distribution table so obtained, draw a histogram.

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Maths 5 Marks Questions

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