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The following table gives production yield per hectare of wheat of 100 farms of a village. - Mathematics

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प्रश्न

The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg/ha) 50 − 55 55 − 60 60 − 65 65 − 70 70 − 75 75 − 80
Number of farms 2 8 12 24 38 16

Change the distribution to a more than type distribution and draw ogive.

उत्तर

The cumulative frequency distribution of more than type can be obtained as follows.

Production yield

(lower class limits)

Cumulative frequency
more than or equal to 50 100
more than or equal to 55 100 − 2 = 98
more than or equal to 60 98 − 8 = 90
more than or equal to 65 90 − 12 = 78
more than or equal to 70 78 − 24 = 54
more than or equal to 75 54 − 38 = 16

Taking the lower class limits on x-axis and their respective cumulative frequencies on y-axis, its ogive can be obtained as follows.

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अध्याय 14: Statistics - Exercise 14.4 [पृष्ठ २९३]

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एनसीईआरटी Mathematics [English] Class 10
अध्याय 14 Statistics
Exercise 14.4 | Q 3 | पृष्ठ २९३

संबंधित प्रश्न

The following distribution gives the daily income of 50 workers of a factory.

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Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.


Find the median of the following data by making a ‘less than ogive’.

Marks 0 - 10 10-20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 80-90 90-100
Number of Students 5 3 4 3 3 4 7 9 7 8

 


What is the lower limit of the modal class of the following frequency distribution?

Age (in years) 0 - 10 10- 20 20 -30 30 – 40 40 –50 50 – 60
Number of patients 16 13 6 11 27 18

The monthly pocket money of 50 students of a class are given in the following distribution

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Number of Students 2 7 8 30 12 1

Find the modal class and give class mark of the modal class.


The following frequency distribution gives the monthly consumption of electricity of 64 consumers of locality.

Monthly consumption (in units) 65 – 85 85 – 105 105 – 125 125 – 145 145 – 165 165 – 185
Number of consumers 4 5 13 20 14 8

Form a ‘ more than type’ cumulative frequency distribution.


 The following is the cumulative frequency distribution ( of less than type ) of 1000 persons each of age 20 years and above . Determine the mean age .

Age below (in years): 30 40 50 60 70 80
Number of persons : 100 220 350 750 950 1000

The mode of a frequency distribution can be determined graphically from ______.


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Find the unknown entries a, b, c, d, e, f in the following distribution of heights of students in a class:

Height
(in cm)
Frequency Cumulative frequency
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Total 50  

Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class:

Marks Below 20 Below 40 Below 60 Below 80 Below 100
Number of students 17 22 29 37 50

Form the frequency distribution table for the data.


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