Q75.If both the mean and the standard deviation of 50 observations ๐ฅ1, ๐ฅ2, โฆ , ๐ฅ50 are equal to 16, then the mean of ๐ฅ1 - 42, ๐ฅ2 - 42, โฆ , ๐ฅ50 - 42 is (1) 525 (2) 480 (3) 400 (4) 380
What This Question Tests
This problem directly tests the properties of the mean when observations are transformed by a linear function, specifically involving subtraction.
Concepts Tested
Formulas Used
Mean(ax+b) = a*Mean(x) + b
SD(ax+b) = |a|*SD(x)
๐ NCERT Sections This Tests
12.5 โ A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 ยท Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
13.2 โ Obtain The Binding Energy Of The Nuclei 5626Fe And 20983 Bi In Units Of
Physics Class 12 ยท Chapter 13
13.2 Obtain the binding energy of the nuclei 5626Fe and 20983 Bi in units of MeV from the following data: m ( 5626Fe ) = 55.934939 u m ( 20983 Bi ) = 208.980388 u
4.13 โ How Is The Variability In Oxidation States Of Transition Metals Different From
Chemistry Class 11 ยท Chapter 4
4.13 How is the variability in oxidation states of transition metals different from that of the non transition metals? Illustrate with examples.
๐ Question Details
- Chapter
- Statistics
- Topic
- Mean and Standard Deviation
- Year
- 2019
- Shift
- 10 Apr Shift 2
- Q Number
- Q75
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 15: Statistics
More from this Chapter
Q98.The average marks of boys in a class is 52 and that of girls is 42 . The average marks of boys and girls combined is 50 . The percentage of boys in the class is (1) 40 (2) 20 (3) 80 (4) 60
Q84.The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b ? (1) a = 0, b = 7 (2) a = 5, b = 2 (3) a = 1, b = 6 (4) a = 3, b = 4 JEE Main 2008 JEE Main Previous Year Paper
Q71.If the mean deviation of number 1, 1 + d, 1 + 2d, โฆ . , 1 + 100d from their mean is 255 , then the d is equal to (1) 10.0 (2) 20.0 (3) 10.1 (4) 20.2
Q72.Statement-1 : The variance of first n even natural numbers is n2โ14 Statement-2 : The sum of first n natural numbers is n(n+1) 2 and the sum of squares of first n natural numbers is n(n+1)(2n+1)6 (1) Statement-1 is true, Statement-2 is true; (2) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-2 is not a correct explanation for Statement-1 Statement-1 (3) Statement-1 is true, Statement-2 is false (4) Statement-1 is false, Statement-2 is true