Hg
Name: Class 10 STICK TO YOUR WALL IN STUDY AREA
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The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
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CO-ORDINATE GEOMETRY and STATISTICS
CO-ORDINATE GEOMETRY:
Distance Formula:
Section Formula:
Mid-Point Formula:
Co-ordinates of the centroid of a triangle:
Area of given the coordinates of 3 points: Condition of collinearity of 3 points:
Area =
[x
1
(y
2
- y
3
) + x
2
(y
3
- y
1
) + x
3
(y
1
- y
2
)] x
1
(y
2
- y
3
) + x
2
(y
3
- y
1
) + x
3
(y
1
- y
2
) = 0
STATISTICS:
Mean:
Normal Method
=
Assumed Mean Method
= a +
, where a is assumed mean and
=
Step Deviation Method
= a +
x h, where
=
Median = l +
x h where l = lower limit of the median class,
n = number of observations,
cf = cumulative frequency of the class preceding the median class,
h = class size (assuming all classes of same size)
Mode = l +
x h where l = lower limit of the modal class,
= frequency of the class preceding the modal class,
= frequency of the modal class,
= frequency of the class succeeding the modal class,
h = class size (assuming all classes of same size)
Relationship between Mean, Median and Mode:
3 Median – 2 Mean = Mode
