Download App

Statistics 3 Marks Each

Board Question Paper : March 2018 · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 8 questions.

Questions

3 Marks Each

🎯

Test yourself on this topic

8 questions · timed · auto-graded

Question 13 Marks
A person has kept $4$ cars to run on rent. The probability that any car is rented during the day is $0.6 .$ Find the probability that more than one but less than $4$ cars are rented during a day.
Answer
$0.69 ! 2$
View full question & answer→
Question 33 Marks
The events $A$ and $B$ in the sample space of a random experiment are mutually exclusive. If $3 P(A)=4 P(B)=1$, then find $P(A \cup B)$
Answer
$P(B)=\frac{1}{4}$;Required probability $=\frac{7}{12}$
View full question & answer→
Question 43 Marks
Define the following terms $:(1)$ Sample Space $(2)$ Mutually Exclusive Events $(3)$ Complimentary Event $OR$ The events $A_1$ and $A_2$ of a random experiment are as follows. Find the sets showing the union events $A_1 \cup A_2$ and intersection events $A_1 \cap A_2 :$
Answer
self practice
View full question & answer→
Question 53 Marks
Fit a linear equation of trend from the following data for variable $(y)$ of a time series: $n =4, \Sigma y =270, \Sigma ty =734$
Answer
$\hat{ y }=38+11.8 t$
View full question & answer→
Question 63 Marks
The following informatino is given for ten firms running business of clothes in a city regarding their aerage annual profit $($in lakh $i‘)$ and average annual administrative cost $($in lakh $₹) :$
Particular Profit
(in lakh ₹) X		 Administrative Cost
(in lakh ₹) Y
Mean $60$ $25$
Standard Deviation $6$ $3$
Covariance ; $10.4$
Obtain the regression line of $Y$ on $X.$
OR If the regression line is $\hat{y}=\frac{x}{2}+5$ and $S_y: S_x=5: 8$.
Find the co-efficient of determination.
Answer
$y=7.6+0.29 x$ OR $33.$
$R^2=r^2=x$ $(0.8)^2=0.64$
View full question & answer→
Question 73 Marks
To know the relationship between the abilities of'the students of a school in the subjects of Statistics and Accountancy, the following information gives the data about marks scored by a sample of eight Students :
Student $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$
Marks in Statistics $78$ $36$ $98$ $25$ $75$ $82$ $90$ $62$
Marks in Accountancy $84$ $51$ $91$ $60$ $68$ $62$ $86$ $55$
Calculate the rank correlation co—efficient between the marks of Statistics and the marks of Accountancy.
Answer
$r=0.86$
View full question & answer→
Question 83 Marks
Find the index' number for the year $2014$ by the method of family budget from the following data about prices and consumption of food items :
Item Year $- 2010$ Year $- 2014$
Quantity Price (₹) Price (₹)
Wheat $60$ $15$ $18$
Rice $40$ $32$ $40$
Bajra $15$ $12$ $14$
Tuvar Dal $25$ $50$ $70$
Answer
$(128.53-100)=28.53 \%$
View full question & answer→
Generate Paper FreeAll Board Question Paper : March 2018 topics
3 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip