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Time Alloted for the Preparation of an Examination by Some Students is Shown in the Table. Draw a Histogram to Show the Information. - Algebra

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प्रश्न

Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes) 60 - 80 80 - 100 100 - 120 120 - 140 140 - 160
No. of students 14 20 24 22 16

उत्तर

The histogram for the given data is

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अध्याय 6: Statistics - Practice Set 6.4 [पृष्ठ १५३]

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बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 6 Statistics
Practice Set 6.4 | Q 4 | पृष्ठ १५३

संबंधित प्रश्न

Draw histogram for the following frequency distributions: 

Class Interval  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram. 

Class-mark of marks 325 375 425 475 525 575
No. of students 25 35 45 40 32 20

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

Draw a histogram representing the above data.


Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.


Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


The weekly wages (in Rs.) of 30 workers in a factory are given:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?


Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Shoe size  5 6 7 8 9 10 11
Frequency 8 1 7 14 11 5 4

Construct histograms for following frequency distribution: 

Class Interval  130-140  140-150  150-160  160-170  170-180 
Frequency  24 16 29 20 11

Draw a histogram to represent the following data:

Pocket money in ₹ No. of Students
150 - 200 10
200 - 250 5
250 - 300 7
300 - 350 4
350 - 400 3

Identify the following data can be represented in a histogram?

The number of students in each class of a school


Construct a histogram from the following distribution of total marks of 40 students in a class.

Marks 90 − 110 110 − 130 130 − 150 150 − 170 170 − 190 190 − 210
No. of Students 9 5 10 7 4 6

Form a continuous frequency distribution table and draw histogram from the following data.

Age (in years) No. of persons
Under 5 1
Under 10 12
Under 15 19
Under 20 26
Under 25 27
Under 30 35
Under 35 38
Under 40 45
Under 45 48
Under 50 53

Represent the following data by histogram:

Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8

The number of people owning books less than 40 is ______.


In a histogram, class intervals and frequencies are taken along ______ axis and ______ axis.


The following pictorial representation of data is a histogram.


Show the following data by a frequency polygon:

Electricity bill (₹) Families
200 – 400 240
400 – 600 300
600 – 800 450
800 – 1000 350
1000 – 1200 160

The table given below shows the runs scored by a cricket team during the overs of a match.

Overs Runs scored
20 – 30 37
30 – 40 45
40 – 50 40
50 – 60 60
60 – 70 51
70 – 80 35

Use graph sheet for this question.

Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.

  1. Draw a histogram representing the above distribution.
  2. Estimate the modal runs scored.

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