question_answer

State T for true and 'F' for false.

(i) If the number of observations is even, then the median is mean of \[{{\left( \frac{n}{2} \right)}^{th}}\]and\[{{\left( \frac{n}{2}+1 \right)}^{th}}\]terms.

(ii)  After four vertical lines for a tally marks, if the tally marks occurs for the fifth time, then the fifth line is put vertically with previous four lines.

(iii) If the range of the data with minimum value 16, is 87, then the maximum value is 71.

(iv) Mode of the data, 14, 71, 51, 91, 15, 2, 15, 51, 19, 41, 51, 15, 51 is 51.

(v) Mean of first ten natural numbers is 5.5

A)

(i)	(ii)	(iii)	(iv)	(v)
T	F	T	T	T

               

B)

(i)	(ii)	(iii)	(iv)	(v)
F	F	T	T	T

               

C)

(i)	(ii)	(iii)	(iv)	(v)
T	F	F	T	T

               

D)

(i)	(ii)	(iii)	(iv)	(v)
T	F	T	F	T

Correct Answer: C

Solution :

          (i) is true. (ii) If the tally mark occurs for the fifth times then the four lines marked earlier are crossed by an oblique line as (iii) Range =Maximum value- Minimum value 87 = Maximum value Maximum value = 87 + 16 =103 (iv) 51 occurs most of the times i.e., 4 times. So, 51 is the mode. (v) Mean