In the lake there are 3 times as many largemouth bass as there are smallmouth bass. If Johnny randomly catches a bass at the lak
2 answers:
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The mean absolute deviation of the set of numbers is 5/4
<h3>How to determine the mean absolute deviation?</h3>The set of numbers is given as:
1 1/2, 0, 4 and 2 1/2
Rewrite the set of numbers as:
1.5, 0, 4 and 2.5
Calculate the mean of the set using:
= Sum/Count
So, we have:
= (1.5 + 0 + 4 + 2.5)/4
Evaluate
= 2
The mean absolute deviation is then calculated as:
M.A.D = 1/n * ∑|x - |
So, we have:
M.A.D = 1/4 * [|1.5 - 2| + |0 - 2| + |4 - 2| + |2.5 - 2|]
Evaluate the absolute difference
M.A.D = 1/4 * [0.5 + 2 + 2 + 0.5]
Evaluate the sum
M.A.D = 1/4 * 5
Evaluate the product
M.A.D = 5/4
Hence, the mean absolute deviation of the set of numbers is 5/4
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Answer:
a)
b) The function is recursive
c) The benefits includes;
1) Simplification of information
2) Faster data access
3) Lesser storage requirement
4) Good for forecasting
5) Simplifies information analysis.
Step-by-step explanation:
The given information are;
The current population = 1,000,000
The rate of increase of the population = 6%
a) With the standard function notation is =
×
Where;
= Future population
= Present population
r = Rate of population increase
t = The number of years
Therefore, we have;
= 1,000,000 ×
= 1,000,000 ×
The population increases by a factor of given the number of years, t
b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population
c) The benefits includes;
1) Simplification of the relationship of a given data with time
2) Provides a more faster way to access data that is recursive than using complex regular function with more variables
3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function
4) Provides improved forecasting
5) Enables detailed information analysis.