Question 15 Marks
Answer
View full question & answer→$\bar{x}=10.02$ units, $s=9.99$ units, Coefficient of Variation $=99.70 \%$
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Question 25 Marks
A transport company has $100$ trucks. These trucks are inspected for maintenance purpose and the following distribution is obtained for the number of defects in the trucks.
Find the range, coefficient of range, quartile deviation, mean deviation and coefficient of mean deviation for the number of defects per truck.
| No. of Defects | $0$ | $1$ | $2$ | $3-4$ | $5-8$ | $9-14$ | $15-25$ |
| No. of trucks | $8$ | $12$ | $18$ | $24$ | $18$ | $12$ | $8$ |
Find the range, coefficient of range, quartile deviation, mean deviation and coefficient of mean deviation for the number of defects per truck.
Answer
View full question & answer→Range $=25$ defects; Coefficient of Range $=1$
Quartile Deviation $=2.70$ defects
Coefficient of Mean Deviation $=0.76$
Quartile Deviation $=2.70$ defects
Coefficient of Mean Deviation $=0.76$
Question 35 Marks
Answer
View full question & answer→Coefficient of Variation $=52.05 \%$
Question 45 Marks
$20$ workers of a factory get bonus from $₹ 1000$ to $₹ 5000$ as per their performance. Its distribution is as follows.
Obtain coefficient of range, quartile deviation and standard deviation for the bonus.
| Bonus (₹) | $1000$ | $2000$ | $3000$ | $4000$ | $5000$ |
| No. of workers | $3$ | $5$ | $6$ | $4$ | $2$ |
Obtain coefficient of range, quartile deviation and standard deviation for the bonus.
Answer
View full question & answer→Coefficient of Range $=0.67$;
Quartile Deviation $=₹ 1000$
Standard Deviation $=₹ 1194.78$
Quartile Deviation $=₹ 1000$
Standard Deviation $=₹ 1194.78$
Question 55 Marks
Answer
View full question & answer→Coefficient of Variation $=50.98 \%$