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Answer :
The mid-range of data is mathematically given as
MD=43.7
This is further explained below.
What is mid-range?
Generally, In the field of statistics, the mid-range, also known as the mid-extreme, is a measurement of the central tendency of a sample that is defined as the geometric average of the data set's highest and lowest values:
[tex]MD=\frac{Largest -lowest}{2}[/tex]
The gap in size between the highest and lowest numbers is referred to as the range.
The figure that represents the average of the highest and lowest values is referred to as the middle.
In conclusion,
[tex]MD=\frac{Largest -lowest}{2}[/tex]
Where
78.8 74.1 61.3 97.7 36.1 32.8 82.9 22.4 78.7 89.9 17.0 16.5 10.3 32.0 43.8 77.6 22.4 30.7 51.5 14.6
The highest and lowest is
97.7, 10.3
Therefore
[tex]MD=\frac{ 97.7- 10.3}{2}[/tex]
MD=43.7
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Final answer:
The mid-range of animal weights in this microbiology study is found by adding the highest and lowest weights and dividing by two. The smallest weight is 10.3kg and the largest weight is 97.7kg, giving a mid-range of 54kg.
Explanation:
In order to find the mid-range of the weight of the animals studied in microbiology, you need to identify the smallest and the largest values within the given data set, then calculate the average of those two extreme values. After scanning through the data, the smallest weight is 10.3kg, and the largest weight is 97.7kg.
The formula to calculate mid-range is:
(Smallest value + Largest value) / 2
Substitute the smallest and the largest values into the formula gives:
(10.3kg + 97.7kg) / 2 = 54kg
Therefore, the mid-range of the weights of these animals is 54kg.
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