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I. The geometric mean of 2,4,16 and 32 i...

I. The geometric mean of 2,4,16 and 32 is a
II. The strength of 7 colleges in a city are 385, 1748, 1343, 1935, 786, 2874 , 2108. Then the median strength is b.
II. The algebric sum of the deviations of 20 observations measured from 30 is 2. The mean of these observations is c.

A

`a lt b lt c`

B

`b lt c lt a`

C

`c lt a lt b`

D

`a lt c lt b`

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The correct Answer is:
D
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The only electron in the hydrogen atom resides under ordinary conditions on the first orbit. When energy is supplied, the electron moves to higher energy orbit depending on the amount of energy absorbed. When this electron returns to any of the lower orbits, it emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second orbit. Similarly, Paschen, Brackett and Pfund series are formed when electron returns to the third, fourth orbits from higher energy orbits respectively (as shown in figure) Maximum number of lines produced when an electron jumps from nth level to ground level is equal to (n(n-1))/(2) . For example, in the case of n = 4, number of lines produced is 6. (4 rarr 3, 4 rarr 2, 4 rarr 1, 3 rarr 2, 3 rarr 1, 2 rarr 1) . When an electron returns from n_(2) to n_(1) state, the number of lines in the spectrum will be equal to ((n_(2) - n_(1))(n_(2)-n_(1) +1))/(2) If the electron comes back from energy level having energy E_(2) to energy level having energy E_(2) then the difference may be expressed in terms of energy of photon as E_(2) - E_(1) = Delta E, lambda = (h c)/(Delta E) . Since h and c are constant, Delta E corresponds to definite energy, thus each transition from one energy level to another will prouce a higher of definite wavelength. THis is actually observed as a line in the spectrum of hydrogen atom. Wave number of the line is given by the formula bar(v) = RZ^(2)((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) Where R is a Rydberg constant (R = 1.1 xx 10^(7)) (i) First line of a series : it is called .line of logest wavelength. or .line of shortest energy.. (ii) Series limit of last of a series : It is the line of shortest wavelength or line of highest energy. Let v_(1) be the frequency of the series limit of the Lyman series, v_(2) be the frequency of the first line of the Lyman series, and v_(3) be the frequency of the series limit of the Balmer series

I : In a binomial distribution the mean is 2 and the standard deviation is sqrt3 . Then the distribution is ((1)/(4)+(3)/(4))^(16) II : In a binomial distribution , n=5 the sum mean and variance is 1.8. Then the distribution is ((4)/(5)+(1)/(5))^(5)

The only electron in the hydrogen atom resides under ordinary conditions on the first orbit. When energy is supplied, the electron moves to higher energy orbit depending on the amount of energy absorbed. When this electron returns to any of the lower orbits, it emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second orbit. Similarly, Paschen, Brackett and Pfund series are formed when electron returns to the third, fourth orbits from higher energy orbits respectively (as shown in figure) Maximum number of lines produced when an electron jumps from nth level to ground level is equal to (n(n-1))/(2) . For example, in the case of n = 4, number of lines produced is 6. (4 rarr 3, 4 rarr 2, 4 rarr 1, 3 rarr 2, 3 rarr 1, 2 rarr 1) . When an electron returns from n_(2) to n_(1) state, the number of lines in the spectrum will be equal to ((n_(2) - n_(1))(n_(2)-n_(1) +1))/(2) If the electron comes back from energy level having energy E_(2) to energy level having energy E_(2) then the difference may be expressed in terms of energy of photon as E_(2) - E_(1) = Delta E, lambda = (h c)/(Delta E) . Since h and c are constant, Delta E corresponds to definite energy, thus each transition from one energy level to another will prouce a higher of definite wavelength. THis is actually observed as a line in the spectrum of hydrogen atom. Wave number of the line is given by the formula bar(v) = RZ^(2)((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) Where R is a Rydberg constant (R = 1.1 xx 10^(7)) (i) First line of a series : it is called .line of logest wavelength. or .line of shortest energy.. (ii) Series limit of last of a series : It is the line of shortest wavelength or line of highest energy. The wave number of electromagnetic radiation emitted during the transition of electron in between two levels of Li^(2+) ion whose principal quantum numbers sum if 4 and difference is 2 is

The only electron in the hydrogen atom resides under ordinary conditions on the first orbit. When energy is supplied, the electron moves to higher energy orbit depending on the amount of energy absorbed. When this electron returns to any of the lower orbits, it emits energy. Lyman series is formed when the electron returns to the lowest orbit while Balmer series is formed when the electron returns to second orbit. Similarly, Paschen, Brackett and Pfund series are formed when electron returns to the third, fourth orbits from higher energy orbits respectively (as shown in figure) Maximum number of lines produced when an electron jumps from nth level to ground level is equal to (n(n-1))/(2) . For example, in the case of n = 4, number of lines produced is 6. (4 rarr 3, 4 rarr 2, 4 rarr 1, 3 rarr 2, 3 rarr 1, 2 rarr 1) . When an electron returns from n_(2) to n_(1) state, the number of lines in the spectrum will be equal to ((n_(2) - n_(1))(n_(2)-n_(1) +1))/(2) If the electron comes back from energy level having energy E_(2) to energy level having energy E_(2) then the difference may be expressed in terms of energy of photon as E_(2) - E_(1) = Delta E, lambda = (h c)/(Delta E) . Since h and c are constant, Delta E corresponds to definite energy, thus each transition from one energy level to another will prouce a higher of definite wavelength. THis is actually observed as a line in the spectrum of hydrogen atom. Wave number of the line is given by the formula bar(v) = RZ^(2)((1)/(n_(1)^(2)) - (1)/(n_(2)^(2))) Where R is a Rydberg constant (R = 1.1 xx 10^(7)) (i) First line of a series : it is called .line of logest wavelength. or .line of shortest energy.. (ii) Series limit of last of a series : It is the line of shortest wavelength or line of highest energy. The difference in the wavelength of the 2^(nd) line of Lyman series and last line of Bracket series in a hydrogen sample is

AAKASH SERIES-MEASURES OF DISPERSION (STATISTICS)-Practice Exercise
  1. Mean deviation of 39,40,41,41,42,42,43,43,44,44, 45 through median is

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  2. Mean deviation from median of the data 90,100,125,115, 110 is

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  3. The mean deviation from mean of the data 90,100,125,115,110 is

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  4. The standard deviation of 7 scores 1,2,3,4,5,6,7 is

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  5. The standard deviation of 15 items is 6 and each item is decreased by ...

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  6. The standard deviation for the set of the numbers 1,4,5,7,8 is 2.45. I...

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  7. Standard deviation of 5,8,11,9,11 is

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  8. If the standard deviation of x(1),x(2),….,x(n) is 3.5 then the standar...

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  9. If the standard deviation of 0,1,2,3,4,5,6,7,8,9 is K, then the standa...

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  10. The variance of first 20 - natural numbers is

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  11. The variance of 6,8,10,12,14,16,18,20,22,24 is

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  12. Observe the following statements : (A) : 10 is the mean of a set of ...

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  13. A man motors from A to B. A large part of the distace is uphill and he...

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  14. An aeroplane files around a square, the sides of which measure 100 mil...

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  15. The mean of a data set consisting of 20 observation is 40. If one obse...

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  16. Mean of 100 observations is 50 and S.D. is 10. If 5 subtracted from ea...

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  17. Consider the following statements : (i) Mean of 100 observations is ...

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  18. I. The geometric mean of 2,4,16 and 32 is a II. The strength of 7 co...

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  19. If the mean deviation of number 1,1+d,…1+100d from their mean is 255, ...

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  20. The mean of 5 observations is 5 and their variance is 124. If three of...

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