Question
In which situations is the empirical formula for mode used ?
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Answer
self
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If $f(x)=x(3 x-2), g(x)=x^3$ and $x \in\{0,1,2\}$; then prove that $f$ and $g$ are equal functions.
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Find coefficient from the following data using an appropriate method and determine which population is more skewed among $A$ and $B$ :
Population $A : 4 Q _1=3 Q _2=2 Q _3=144$
Population $B : Q _1=34.8, Q _2=45.5$ and $Q _3=70$
→Population $A : 4 Q _1=3 Q _2=2 Q _3=144$
Population $B : Q _1=34.8, Q _2=45.5$ and $Q _3=70$
Obtain original frequency distribution from the following frequency distribution :
→| Midvalue | $4$ | $12$ | $20$ | $28$ | $36$ | $44$ | $52$ |
| Frequency | $3$ | $6$ | $9$ | $13$ | $8$ | $5$ | $2$ |
$(i)$ particular persons must be selected ?
$(ii)$ particular persons are not to be selected ?
→$(ii)$ particular persons are not to be selected ?
Write a brief note on coefficient of variation.
The marks obtained by 48 students in a test of Statistics of 100 marks are as follows. Prepare a frequency distribution such that one of the classes is $40-49$.
$42,49,59,30,16,68,71,28,95,53,90,24,36,55,62$, $83,80,9,35,44,58,43,13,67,20,33,82,56,35,45,60$, $70,97,39,47,54,62,77,83,4,26,46,65,72,45,17,51$, 38,
From the frequency distribution, answer the following questions:
(1) If passing standard is 35 marks, how many students will fail?
(2) If at least 48 marks are required to get Second class, how many students will be in Second class?
(3) If for First class 60 marks are required and for Distinction 70 marks are required, how many students will pass with Distinction?
(4) To get scholarship, if at least 90 marks are required, how many students will get scholarship?
→$42,49,59,30,16,68,71,28,95,53,90,24,36,55,62$, $83,80,9,35,44,58,43,13,67,20,33,82,56,35,45,60$, $70,97,39,47,54,62,77,83,4,26,46,65,72,45,17,51$, 38,
From the frequency distribution, answer the following questions:
(1) If passing standard is 35 marks, how many students will fail?
(2) If at least 48 marks are required to get Second class, how many students will be in Second class?
(3) If for First class 60 marks are required and for Distinction 70 marks are required, how many students will pass with Distinction?
(4) To get scholarship, if at least 90 marks are required, how many students will get scholarship?
Ten random numbers of two digits are as follows:
$62, 35, 04, 61, 40, 89, 82, 18, 96, 21.$
Using these random numbers, select a simple random sample without replacement of $4$ units from a population having 50 units.
→$62, 35, 04, 61, 40, 89, 82, 18, 96, 21.$
Using these random numbers, select a simple random sample without replacement of $4$ units from a population having 50 units.
The number of challans issued to the vehicle owners by traffic police in a city for violating the traffic ules in the last ten days are $20,42,55,60,48,80,95,70,10$ and $50$ .
Find the coefficient of variation of challans received by the vehicle owners.
→Find the coefficient of variation of challans received by the vehicle owners.
For the l. $4,2,1, \frac{1}{2}, \ldots$ the sum of how many terms will be $\frac{31}{4} ?$
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