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Measures of Central Tendency
How is median determined graphically when you are given ‘less than ogive’ or ‘more than ogive’?
Determination of median graphically : Following steps are involved in this case :
1. Convert the frequency distribution series into ‘less than’ or ‘more than’ cumulative series.
2. Present the data graphically to make a ‘less than’ or ‘more than’ ogive.
3. Determine N/2 th item of series.
4. From this point (on the Y axis of the graph), draw a perpendicular to the right to cut cumulative frequency curve.
5. From the point where perpendicular from Y-axis cuts cumulative frequency draw a perpendicular on OX-axis.
6. That point will be median where this perpendicular cuts X-axis.
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The following table gives production yield in kg. per hectare of wheat of 150 arms in a village. Calculate the mean, median and mode production yield.
|
Production yield (kg. per hectare) |
50-53 |
53-56 |
56-59 |
59-62 |
62-65 |
65-68 |
68-71 |
71-74 |
74-77 |
|
Number of farms |
3 |
8 |
14 |
30 |
36 |
28 |
16 |
10 |
5 |
The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.
|
Size of Land Holdings (in acres) |
Number of families |
|
less than 100 100-200 200-300 300-400 400 and above |
40 89 148 64 39 |
What do you mean by 'Average'?
Pocket expenditures of 6 students are (Rs.) 6,12,18,24,30 and 36 respectively. Find out arithmetic mean.
Name various kinds of statistical averages?
Give formula of weighted averages.
Give formula of calculating arithmetic average of a continuous series.
What is arithmetic mean?
Define median.
Define mode.
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