The following frequency distribution gives the monthly consumption of electricity of 68 consumers:
A line passes through the points ( A(1,2) ) and ( B(3,6) ).
| Consumption (units) | 65–85 | 85–105 | 105–125 | 125–145 | 145–165 | 165–185 | 185–205 | |---------------------|-------|--------|---------|---------|---------|---------|---------| | No. of consumers | 4 | 5 | 13 | 20 | 14 | 8 | 4 | 11th std maths guide
(i) Find ( \lim_x \to 2 f(x) ). (ii) Is ( f(x) ) continuous at ( x = 2 )? Justify. (iii) Redefine the function to make it continuous.
(i) Draw a neat diagram and represent the situation. (ii) Find the height of the tower. (iii) If the angle of elevation becomes 30°, how far is the point from the tower? (ii) Is ( f(x) ) continuous at ( x = 2 )
A function is defined as: [ f(x) = \begincases \fracx^2 - 4x - 2, & x \neq 2 \ 4, & x = 2 \endcases ]
A tower stands vertically on the ground. From a point on the ground 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. (i) Draw a neat diagram and represent the situation
(i) Find the median class. (ii) Calculate the median monthly consumption. (iii) Why is median preferred over mean in such data?
The following frequency distribution gives the monthly consumption of electricity of 68 consumers:
A line passes through the points ( A(1,2) ) and ( B(3,6) ).
| Consumption (units) | 65–85 | 85–105 | 105–125 | 125–145 | 145–165 | 165–185 | 185–205 | |---------------------|-------|--------|---------|---------|---------|---------|---------| | No. of consumers | 4 | 5 | 13 | 20 | 14 | 8 | 4 |
(i) Find ( \lim_x \to 2 f(x) ). (ii) Is ( f(x) ) continuous at ( x = 2 )? Justify. (iii) Redefine the function to make it continuous.
(i) Draw a neat diagram and represent the situation. (ii) Find the height of the tower. (iii) If the angle of elevation becomes 30°, how far is the point from the tower?
A function is defined as: [ f(x) = \begincases \fracx^2 - 4x - 2, & x \neq 2 \ 4, & x = 2 \endcases ]
A tower stands vertically on the ground. From a point on the ground 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°.
(i) Find the median class. (ii) Calculate the median monthly consumption. (iii) Why is median preferred over mean in such data?