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The Weekly Wages (In Rs.) of 30 Workers in a Factory Are Given: - Mathematics

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प्रश्न

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?

बेरीज
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उत्तर

The frequency table with intervals 800-820, 810-820,...890-900 is given below:

Wage (in Rs) Tally Wage Frequency Tally marks
800-810 804, 808, 806 3 III
810-820 810, 812 2 II
820-830 820 1 I
830-840 830, 835, 835, 836, 832, 833, 835, 835, 836 9 IIII IIII
840-850 845, 845, 840, 840, 840 5 IIII
850-860 855 1 I
860-870 869, 860, 868 3 III
870-880 878 1 I
880-890 885 1 I
890-900 890, 898, 890, 890 4 IIII
 
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, the rectangles can be drawn to obtain the histogram of the given frequency distribution. The histogram is shown below:
(i) The group that has the maximum number of workers is represented as the highest rectangle. It is in the interval 830-840.
(ii) The number of workers who earn Rs 850 or more can be calculated from frequency table in the following manner: \[1 + 3 + 1 + 1 + 4 = 10\]
(iii) The number of workers who earn less than Rs 850 can be calculated from frequency table in the following manner: \[3 + 2 + 1 + 9 + 5 = 20\]
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पाठ 24: Data Handling-II (Graphical Representation of Data as Histograms) - Exercise 24.1 [पृष्ठ ८]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 24 Data Handling-II (Graphical Representation of Data as Histograms)
Exercise 24.1 | Q 12 | पृष्ठ ८

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Draw Histogram and hence the frequency polygon for the above data.


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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

Using tally marks make a frequency table with intervals as 800 − 810, 810 − 820 and so on.


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Draw a histogram representing the above data.


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Frequency: 30 98 80 58 29 50

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