Calculating the five number summary
2 answers:
Answer:
A) 43
B) 65
Step-by-step explanation:
A) First Quartile =
Where N is the number of observations
=> 1st Quartile = (11+1)(1/4)
=> 1st Quartile = (12)(1/4)
=> 1st Quartile = 3rd number
<h3>=> 1st Quartile = 43</h3>B) Third Quartile =
=> 3rd Quartile = (11+1)(3/4)
=> 3rd Quartile = (12)(3/4)
=> 3rd Quartile = 3*3
=> 3rd Quatile = 9th number
<h3>=> 3rd Quartile = 65</h3>You might be interested in
Answer:
Step-by-step explanation:
Given
Required
Remove the h component
In a function, the h component is highlighted as:
So, we have:
Split the exponents using the following law of indices:
<em>The h component has been removed</em>
Split the exponent using the following law of indices
So, we have:
Express 4^2 as 16
Divide 16 by 2
Answer:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
For the case when z =-2 we can do this:
And if we solve for X we got:
And for the other case when Z=2 we have:
And if we solve for X we got:
If the weight is higher than 5.8886 gr would be considered significantly high
If the weight is lower than 5.6121 gr would be considered significantly low