Match the two columns
$\begin{matrix} C o l u m n - I & C o l u m n - I I (A) T h e c l a s s m a r k o f t h e c l a s s i n t e r v a l & (p) 13 145 - 150 i s (B) I n a f r e q u e n c y d i s t r i b u t i o n, t h e m i d - v a l u e o f a & (q) 110 c l a s s i s 10 a n d w i d t h o f e a c h c l a s s i s 6. T h e u p p e r l i m i t o f t h e c l a s s i s (C) T h e m e a n o f e i g h t n u m b e r s i s 40. I f o n e & (r) 22.5 - 27.5 n u m b e r i s e x c l u d e d, t h e i r m e a n b e c o m e s 30. T h e e x c l u d e d n u m b e r i s (D) T h e c l a s s m a r k s o f a f r e q u e n c y d i s t r i b u t i o n a r e & (s) 147.5 15, 20, 25, 30, \dots \dots T h e c l a s s c o r r e s p o n d i n g t o t h e c l a s s m a r k 25 i s \end{matrix}$

Choose the correct option:

A-p; B-s; C-q; D-r

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A-r; B-p; C-q; D-s

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A-s; B-p; C-r; D-q

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A-s; B-p; C-q; D-r

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Solution

The correct option is D A-s; B-p; C-q; D-r
$(A) \to s; (B) \to p; (C) \to q; (D) \to r$

(A) Classmark
$= \frac{145 + 150}{2} = \frac{295}{2} = 147.5$ .

(B) Let the upper limit = x
Lower limit = y
$∴ x - y = 6$ and $\frac{x + y}{2} = 10 \Rightarrow x + y = 20$
On solving both the equations, we get x = 13 and y = 7

(C) Sum of the 8 observation $= 40 \times 8 = 320$
Sum of the 7 observation $= 30 \times 7 = 210$
Excluded observation is 320 - 210 = 110

(D) Class width = 20 - 15 = 5
Class mark = 25
$∴$ Required class,
$(25 - \frac{5}{2}) - (25 + \frac{5}{2}) \Rightarrow 22.5 - 27.5$

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Similar questions

Q. Match the two columns

\begin{matrix} C o l u m n - I & C o l u m n - I I (A) T h e c l a s s m a r k o f t h e c l a s s i n t e r v a l & (p) 13 145 - 150 i s (B) I n a f r e q u e n c y d i s t r i b u t i o n, t h e m i d - v a l u e o f a & (q) 110 c l a s s i s 10 a n d w i d t h o f e a c h c l a s s i s 6. T h e u p p e r l i m i t o f t h e c l a s s i s (C) T h e m e a n o f e i g h t n u m b e r s i s 40. I f o n e & (r) 22.5 - 27.5 n u m b e r i s e x c l u d e d, t h e i r m e a n b e c o m e s 30. T h e e x c l u d e d n u m b e r i s (D) T h e c l a s s m a r k s o f a f r e q u e n c y d i s t r i b u t i o n a r e & (s) 147.5 15, 20, 25, 30, \dots \dots T h e c l a s s c o r r e s p o n d i n g t o t h e c l a s s m a r k 25 i s \end{matrix}

Choose the correct option:

Q. Match the two columns.

\begin{matrix} C o l u m n - I & C o l u m n - I I (A) The class mark of the class interval & (p) 13 145 - 150 i s : (B) In a frequency distribution, the mid - value of a & (q) 110 class is 10 and width of each class is 6. The upper limit of the class is: (C) The mean of eight numbers is 40. If one & (r) 22.5 - 27.5 number is excluded, their mean becomes 30. The excluded number is: (D) The class marks of a frequency distribution are & (s) 147.5 15, 20, 25, 30, \dots \dots The class corresponding to the class mark 25 is: \end{matrix}

(i) Find the class mark of the class 90-120.
(ii) In a frequency distribution, the mid-value of the class is 10 and width of the class is 6. Find the lower limit of the class.
(iii) The width of each of five continuous classes in a frequency distribution is 5 and lower class limit of the lowest class is 10. What is the upper class limit of the highest class?
(iv) The class marks of a frequency distribution are 15, 20, 25, .... Find the class corresponding to the class mark 20.
(v) In the class intervals 10-20, 20-30, find the class in which 20 is included.

Q. If the class marks of a frequency distribution are

20, 25, 30, 35, 40

and

45

, find the classes and their width.

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