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Answer
$M_{ o }=5.3 \ km$
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$20$ 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.
The distribution of ages of $48$ persons in an old age home is given below. Which formula will be appropriate to find the mode? Why? Find the modal age of the persons in the old age home using the formula you have chosen.
→| Age (years) | $50 – 60$ | $60 – 65$ | $65 – 70$ | $70 – 85$ | $85 - 100$ |
| No. of person | $6$ | $10$ | $19$ | $9$ | $4$ |
Find the Value of the following using binomial expansion: $(2+\sqrt{5})^{5}+(2-\sqrt{5})^{5}$
→The information regarding the production (in lakh ?) and sales (in lakh $T$) for a factory during five years is given below. Present it in a suitable diagram.
→Information regarding the age of persons living in two different regions is as under. Present it by using an appopriate diagram.
→| Age | Less than $15$ (Child) | $15$ to $35$ (Young) | $35$ to $60$ (Adult) | More than $60$ (Old) | Total |
| Region $A$ | $480$ | $360$ | $240$ | $120$ | $1200$ |
| Region $B$ | $350$ | $250$ | $200$ | $200$ | $1000$ |
The information of number of roses on $30$ rose plants in a nursery is given below. Find range, coefficient of range, quartile deviation, coefficient of quartile deviation, mean deviation and coefficient of mean deviation of the number of roses from it.
→Draw a random sample of $1$ percent students without replacement from 1500 students of a particular college for giving their opinion on college facilities. There are $600$ students in First year $(FY), 500$ students in Second year $(SY)$ and $400$ students of Third year $(TY)$ class in the college. Use the following $40$ three — digit random numbers :
$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
→$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
The data regarding the number of mobile phones produced during last $60$ days by a mobile phone manufacturing company is given below. Distribute it into $10$ classes.
Obtain ‘less than’ and ‘more than’ type cumulative frequency distribution from it.
→Obtain ‘less than’ and ‘more than’ type cumulative frequency distribution from it.
In $100$ different days during a year, minimum $20$ and maximum $149$ pilgrims visited a religious place. Its frequency distribution is as follows. Find the coefficient of skewness using Bowley's method by preparing an inclusive frequency distribution taking class length $10$ for the first class.
→| No. of pilgrims (less than) | $29$ | $49$ | $69$ | $99$ | $129$ | $149$ |
| No. of days | $8$ | $21$ | $48$ | $75$ | $90$ | $100$ |