Is the sample mean always the most frequently occurring value? If so, explain why. If not, give an example.
1 answer:
Answer:
No the sample mean is not the most frequently occurring data.
Explanation:
If we take a number of observation in an experiment the most frequently repeating value is known as mode of data.
Mean of data is the the value to which all the given observational values are closest.
Consider a given set of observations as
1,1,1,1,1,5,4,3,4
The Mean of the above data set is While as the most often repeating value is 1 which is not equal to mean
You might be interested in
Answer:
T = 15 kN
F = 23.33 kN
Explanation:
Given the data in the question,
We apply the impulse momentum principle on the total system,
mv₁ + ∑ = mv₂
we substitute
[50 + 3(30)]×10³ × 0 + FΔt = [50 + 3(30)]×10³ × ( 45 × 1000 / 3600 )
F( 75 - 0 ) = 1.75 × 10⁶
The resultant frictional tractive force F is will then be;
F = 1.75 × 10⁶ / 75
F = 23333.33 N
F = 23.33 kN
Applying the impulse momentum principle on the three cars;
mv₁ + ∑ = mv₂
[3(30)]×10³ × 0 + FΔt = [3(30)]×10³ × ( 45 × 1000 / 3600 )
F(75-0) = 1.125 × 10⁶
The force T developed is then;
T = 1.125 × 10⁶ / 75
T = 15000 N
T = 15 kN