Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.
13/6
5/2
7/6
7/3
Correct answer is D
| x | 7 | 3 | 14 | 9 | 7 | 8 | Total |
| \(x - \bar{x}\) | -1 | -5 | 6 | 1 | -1 | 0 | |
| \(|x - \bar{x}|\) | 1 | 5 | 6 | 1 | 1 | 0 | 14 |
Mean : \(\frac{7 + 3 + 14 + 9 + 7 + 8}{6} = \frac{48}{6} = 8\)
Mean deviation : \(\frac{\sum |x - \bar{x}|}{n} = \frac{14}{6} = \frac{7}{3}\)
105
100
95
110
Correct answer is D
Let the sum of the first five numbers and the sixth number be x and t respectively.
\(\frac{x + t}{6} = 60 \implies x + t = 360\)
\(\frac{x}{5} = 50 \implies x = 250\)
\(\therefore t = 360 - 250 = 110\)
How many three-digit numbers can be formed from 32564 without repeating any of the digits?
120
10
20
60
Correct answer is D
To get the answer, we simply do
\(\frac{5!}{(5 - 3)!}\)
= \(\frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1}\)
= 60
108°
180°
36°
60°
Correct answer is C
Total: 2 + 5 + 3 + 11 + 9 = 30
Cassava: \(\frac{3}{30} \times 360° = 36°\)
2/3
4/9
8/27
1/27
Correct answer is D
P(not passing exam) = \(1 - \frac{2}{3} = \frac{1}{3}\)
P(not passing any of the three exams) = \(\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3}\)
= \(\frac{1}{27}\)