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Statistics 3 Marks Each

Measures of central tendency · Gujarat Board (GSEB) STD 11 Commerce (GSEB - English Medium). 13 questions.

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13 questions · timed · auto-graded

Question 13 Marks
The number of trucks arriving in a vegetable market on seven days of a week are as follows:
$20,12,16,15,17,25,8$
Obtain the mean and median for number of trucks and hence find the mode.
Answer
$M_{ o }=15.72$ trucks
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Question 33 Marks
The average weight of $10$ employees working in an office is $58 \ kg$. Among the employees appointed in a recruitment drive, $5$ female employees had an average weight of $52 \ kg$ and $4$ male employees had an average weight of $60 \ kg$. Find the mean weight of all the employees in the office after the recruitment.
Answer
$\bar{x}_{ c }=56.84 kg$
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Question 43 Marks
The value of mean obtained from $35$ observations of a variable is $140$ . Later, it was found that the value of one observation was taken as $59$ instead of $95$ . Find the corrected mean for the variable.
Answer
Corrected $\bar{x}=141.03$
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Question 53 Marks
A person has received returns at the rate of $7 \%, 6 \%, 8 \%$ and $8.5 \%$ respectively for four years on his investment. Find the average percentage return using an appropriate method.
Answer
Average rate of interest $=7.37 \%$
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Question 63 Marks
Find the average percentage rise in price using weighted mean from the following data about the percentage rise in price of building material :
Material Cement Wood Steel Bricks
Weight $30$ $15$ $20$ $25$
Percentage rise in price $160$ $133$ $125$ $150$
Answer
$\bar{x}_{ w }=144.94$
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Question 83 Marks
The mean of number of words per page in a book of $120$ pages is $231$ . If the mean of number of words in the first $20$ pages is $236$ , find the mean of number of words in the remaining $100$ pages.
Answer
$\bar{x}_2=230$ words
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Question 93 Marks
For the admission in a college, weight $40$ is given to the marks in $12\ th$ class and weight $60$ is given to the marks in entrance exam of each student. As per the merit list of the college, a student can get admission only if his weighted marks are $77 \%$. If a student scored $82 \%$ in $12\ th$ class and $78 \%$ in the entrance exam, can he get the admission to this college ?
Answer
$\bar{x}_{ w }=79.6 \%$
$\therefore$ student will get admission
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3 Marks Each - Statistics STD 11 Commerce Questions - Vidyadip