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Histogram

Construct his...

Question

Construct histogram, frequency polygon and frequency curve from the following data:

Marks Obtained 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80

Number of Students 10 16 20 20 22 15 8 5

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Solution

For drawing a frequency polygon, we simply join the top mid-points of the rectangles of the histogram drawn above using a straight line.

Similar to a frequency polygon, for drawing a frequency curve we again joint the top mid-points of the rectangles of the histogram drawn in the first part, but with a free hand (rather than a straight line).

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Q. Make a frequency polygon and histogram using the given data:

Marks Obtained	10−20	20−30	30−40	40−50	50−60	60−70
Number of Students	5	12	15	22	14	4

Q. Obtain the mean, median and mode of the following data:

Marks	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Number of Students	5	7	15	25	20	15	8	5

Q. Calculate upper and lower quartile from the following data:

Variable	0−10	10−20	20−30	30−40	40−50	50−60	60−70
Frequency	10	20	35	40	25	25	15

Q. Calculate the median and mode from the following data:

Marks	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Number of Students	2	18	30	45	35	20	6	3

Q. Find the median of the following data:

Valuable	0−10	10−20	20−30	30−40	40−50	50−60	60−70
Frequency	7	12	18	25	16	14	8

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