Answer:
b) 65.08
ii) 0.75
Step-by-step explanation:
x(Kg): 62 63 64 65 66 67 68
Frequency(f): 1 5 11 15 10 6 2
xf: 62 315 704 975 660 402 136
b) mean(X) = ∑xf/N = 3254/50 = 65.08
c) x - X : -3.08 -2.08 -1.08 -0.08 0.92 1.92 2.92
(x - X)²: 9.49 4.33 1.17 0.0064 0.85 3.69 8.53
ii) Standard deviation(S.D.): √(∑(x - X)²/N = √(28.0664)/50 = √0.5613
∴ S.D.= 0.75
Answer:
2.6 and 5.4 are both the same sign, he should add them and then take that negative sign from (-5.4), so the answer would be -8.0.
Answer:
Cannot create sample
Step-by-step explanation:
We are given the following in the question:
4, -2, -6, 19, 6
Formula:
where
are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 = 364.8
![s^2 = \dfrac{364.8}{4}} = 91.2](https://tex.z-dn.net/?f=s%5E2%20%3D%20%5Cdfrac%7B364.8%7D%7B4%7D%7D%20%3D%2091.2)
If we add an observation equal to the mean of given sample, then the mean and of new sample will not change.
New sample:
4, -2, -6, 19, 6, 4.2
![Mean =\displaystyle\frac{25.2}{6} = 4.2](https://tex.z-dn.net/?f=Mean%20%3D%5Cdisplaystyle%5Cfrac%7B25.2%7D%7B6%7D%20%3D%204.2)
Sum of squares of differences = 0.04 + 38.44 + 104.04 + 219.04 + 3.24 + 0 = 364.8
![s^2 = \dfrac{364.8}{5}} = 72.96](https://tex.z-dn.net/?f=s%5E2%20%3D%20%5Cdfrac%7B364.8%7D%7B5%7D%7D%20%3D%2072.96)
Thus, the variance of new sample changes.
Thus, it is not possible to create a sample.
537543 is the number representation of LESLIE on my telephone. c: Good luck!~