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Ogives

Name the abov...

Question

Name the above shown curve.

A

More than ogive

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B

Less than ogive

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C

Either A or B

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D

Neither A nor B

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Solution

The correct option is A More than ogive
In 'more than' ogives, we start with the lower limits of the classes & go on subtracting frequencies of each class. Here, more than cumulative frequencies of number of women is plotted against the lower limit of average monthly income.

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Q. The annual profit earned by 30 shops of a shopping complex in a locality are recorded in the table shown below:

Profit (in lakhs ₹)	Number of shops
More than or equal to 5	30
More than or equal to 10	28
More than or equal to 15	16
More than or equal to 20	14
More than or equal to 25	10
More than or equal to 30	7
More than or equal to 35	3

If we draw the frequency distribution table for the above data, find the frequency corresponding to the class 20−25.

Q. The annual profits earned by

30

shops of a shopping complex in a locality give rise to the following distributions:

Profit (in lakhs in Rs.)	Number of shops (Frequency)
More than or equal to $5$	$30$
More than or equal to $10$	$28$
More than or equal to $15$	$16$
More than or equal to $20$	$14$
More than or equal to $25$	$10$
More than or equal to $30$	$7$
More than or equal to $35$	$3$

Draw both ogives for the above data and hence obtain the median.

Q. The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:

Profit (in lakhs in Rs)	Number of shops (frequency)
More than or equal to 5 More than or equal to 10 More than or equal to 15 More than or equal to 20 More than or equal to 25 More than or equal to 30 More than or equal to 35	30 28 16 14 10 7 3

Draw both ogives for the above data and hence obtain the median.

Q. In these questions, the symbols

@, #, $, %

*

are used with different meanings as follows.

^{'} A @ B^{'}

means 'A is not smaller than B'.

^{'} A # B^{'}

means 'A is neither smaller than nor equal to B'.

^{'} A $ B^{'}

means 'A is neither greater than nor smaller than B'.

^{'} A % B^{'}

means 'A is not greater than B'.

^{'} A * B^{'}

means 'A is neither greater than nor equal to B'.
In each question, four statements showing relationships have been given, which are followed by three conclusions I, II and III. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true and give your answer accordingly.

@ \Rightarrow\geq, % \Rightarrow, # \Rightarrow>, * \Rightarrow>, $ \Rightarrow=

V $ Y; Y @ Z; Z % X; X # T

T # Z

X # Y

Z * Y

Q. In the following questions, used with the following meanings
(i)

A # B

means A is not greater than B.
(ii)

A $ B

means A is neither smaller than nor equal to B.
(iii)

A ? B

means A is neither greater than nor smaller than B.
(iv)

A * B

means A is neither greater than nor equal to B.
(v) A @ B means A is not smaller than B.
Now, in each of the following questions, assuming the given statements to be true, find out which of the two conclusions I and II given below them is/are definitely true.
Statements : G @ M, N # L, G

*

L
Conclusions:
I. G @ N
II. L $ M

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