Sail E0 Webinar

12th Grade > Mathematics

STATISTICS AND COLLECTION OF STATISTICAL DATA MCQs

Statistics, Introduction To Statistics, Collection Of Data (11th And 12th Grade)

Total Questions : 105 | Page 9 of 11 pages
Question 81. If the coefficient of variation of data pertaining to goals scored by two teams A and B in a football season are 2.5 and 7.2 respectively, then which of the following statements i strue?
  1.    Team B is more consistent than team A.
  2.    Two teams are equally consistent.
  3.    Team A is more consistent than team B.
  4.     The s.ds. of team A and team B are 125,172.
 Discuss Question
Answer: Option C. -> Team A is more consistent than team B.
:
C
We know that, lesser is the coefficient of variation, the data is more consistent.
Since C.V. of the team A is 2.5, which is less than the C.V. of team B, we can conclude that team A is more Consistent.
Question 82. The mean weight per student in a group of seven students is 55 kg if the individual weights of 6 students are 52, 58, 55, 53, 56 and 54; then weight of the seventh student is
  1.    55 kg
  2.    60 kg
  3.    57 kg
  4.    50 kg
 Discuss Question
Answer: Option C. -> 57 kg
:
C
Total weight of 7 students is =55×7=385kg
Sum of weight of 6 students
=52+58+55+53+56+54=328kg
Weight of seventh student =385328=57kg.
Question 83. The mean deviation from the mean for the set of observations – 1, 0, 4 is
  1.    less than 3
  2.    less than 1 
  3.    greater than 2.5
  4.    greater than 4.9
 Discuss Question
Answer: Option A. -> less than 3
:
A
¯x=1+0+43=1.Mean Deviation =13[|11|+|01|+|41|]=2
Question 84. If the median and mode of 4 observations is 4, 6 and the sum of squares of observations is 48.  Then 
standard deviation is
  1.    √2
  2.    4
  3.    √3
  4.    √5
 Discuss Question
Answer: Option C. -> √3
:
C
Given that median = 4 and mode = 6. We know that
Mean - mode = 3 (Mean - Median)
Mean - 6 = 3 (Mean - 4)
¯x6=3¯x12
¯x=3
σ2=x2in(xin)2=484(3)2=3 σ=3
Question 85. If the mean of 3, 4, x, 7, 10 is 6, then the value of x is
  1.    4
  2.    5
  3.    6
  4.    7
 Discuss Question
Answer: Option C. -> 6
:
C
6=3+4+x+7+105
30=24+x
x=6
Question 86. The range of the observations in 3, 8, 4, 9, 16, 19 is
  1.    16
  2.    19
  3.    8
  4.    7
 Discuss Question
Answer: Option A. -> 16
:
A
Range = Highest observation- Lowest observation
= 19 − 3
= 16
Question 87. The mean of a set of observation is ¯¯¯x .If each observation is divided by α α0, and then is increased by 10,
then the mean of the new set is
  1.    ¯¯¯xα
  2.    ¯¯¯x+10α
  3.    ¯¯¯x+10αα
  4.    α¯¯¯x+10
 Discuss Question
Answer: Option C. -> ¯¯¯x+10αα
:
C
Let x1,x2,xn be n observations.
Then¯¯¯x=1nxi
letyi=xiα+10
¯¯¯y=1nniyi
And,¯¯¯y=1n[(nixiα+10.n]
¯¯¯y=1α¯¯¯x+10
=¯¯¯x+10αα.
Question 88. The mean of 5 numbers is 18. If one number is excluded, their mean becomes 16. Then the excluded number is
  1.    18
  2.    25
  3.    26
  4.    30
 Discuss Question
Answer: Option C. -> 26
:
C
Sum of total number =18×5=90
After one number excluded
Sum of total number =16×4=64
Then, excluded number is 9064=26
Question 89. If a variable takes the discrete values α+4,α72,α52,α3,α2,α+12,α12,α+5(α>0),then the median is
  1.    α−54
  2.    α−12
  3.    α−2
  4.    α+54
 Discuss Question
Answer: Option A. -> α−54
:
A
Arrange the data as: α72,α3,α52,α2,α12,α+12,α+4,α+5,
Median =a2+α122=2α522=α54
Question 90. If the algebraic sum of deviations of 20 observations from 30 is 20, then the mean of observations is
  1.    30
  2.    30.1
  3.    29
  4.    31
 Discuss Question
Answer: Option D. -> 31
:
D
20i=1(xi30)=20=20i=1xi20×30=20
20i=1xi=620.Mean=20i=120=62020=31.

Latest Videos

Latest Test Papers