The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
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Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3
LCM = product of common and not common prime factors with larger exponent.
LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60
To always have a remainder of 1, you need of add 1 to 60.
The number is 61.
Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
Answer:
r = 2.75
Step-by-step explanation:
1.25 + r = 4
Subtract 1.25 on both sides.
1.25 + r - 1.25 = 4 - 1.25
r = 4 - 1.25
r = 2.75
The solution to the equation is r = 2.75.