Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .
Step-by-step explanation:
The given data : 3, 6, 9, 11, 15, 16
Total number of data values : n = 6
The mean of data is given by :-
![\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cdfrac%7B%5Csum%5E6_%7Bi%3D1%7Dx_i%7D%7Bn%7D%5C%5C%5C%5C%5CRightarrow%5Coverline%7Bx%7D%3D%5Cdfrac%7B60%7D%7B6%7D%3D10)
The standard deviation is given by :-
![\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cdfrac%7B1%7D%7Bn%7D%28%5Csum%5E6_%7Bi%3D1%7D%28x_i-%5Coverline%7Bx%7D%29%5E2%29%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B6%7D%28%5Csum%5E6_%7Bi%3D1%7D%28x_i-10%29%5E2%29%7D%5C%5C%5C%5C%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B6%7D%5Ctimes%2849%2B16%2B1%2B1%2B25%2B36%29%7D%3D4.61880215352%5Capprox4.62)
The range of the data : Maximum value -Minimum value
![=16-3=13](https://tex.z-dn.net/?f=%3D16-3%3D13)
Answer:
See below
Step-by-step explanation:
Out of 25 games, they won 14
Fraction won = won / total = 14 / 25
Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %
To find the number of games lost
25-14 = 11
Fraction won = won / total = 11 / 25
Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %
To check your work, the percent total should be 100
56+44 = 100
Answer:
38 people
Step-by-step explanation:
add 11, 18, and 9 together
200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces
She spent 5% of her money