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Presentation of Data
The following frequency distribution gives the marks of 92 students:
|
Marks |
No. of Students |
|
4 – 8 |
3 |
|
8 – 12 |
9 |
|
12 – 16 |
15 |
|
16 – 20 |
18 |
|
20 – 28 |
20 |
|
28 – 40 |
15 |
|
40 – 56 |
12 |
Draw a histogram with the above data.
This is a case of unequal class intervals.
|
Class Intervals |
Frequency |
Frequency Density |
Frequency Density x Minimum Class Interval |
|
4 – 8 |
3 |
|
0.75 × 4 = 3 |
|
8 – 12 |
9 |
|
2.25 × 4 = 9 |
|
12 – 16 |
15 |
|
3.75 × 4 = 15 |
|
16 – 20 |
18 |
|
4.5 × 4 = 18 |
|
20 – 28 |
20 |
|
2.5 × 4 = 10 |
|
28 – 40 |
15 |
|
1.25 × 4 = 5 |
|
40 – 56 |
12 |
|
0.75 × 4 = 3 |
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Data represented through a histogram can help in finding graphically the:
Ogives can be helpful in locating graphically the:
Data represented through arithmetic line graph help in understanding:
Width of bars in a bar diagram need not be equal.
Width of rectangles in a histogram should essentially be equal.
Histogram can only be formed with continuous classification of data.
Histogram and column diagram are the same method of presentaton of data.
Mode of a frequency distribution can be known graphically with the help of histogram.
Median of a frequency distribution cannot be known from the ogives.
What kind of diagrams are more effective in representing the following:
(i) Monthly rainfall in a year.
(ii) Composition of the population of Delhi by religion.
(iii) Components of cost in a factory.
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