The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.
1 answer:
The standard deviation of the data set is 19.3
<h3>How to find the standard deviation of the data set?</h3>The dataset is given as:
82, 94, 105, 68, 57
Calculate the mean using
Mean = Sum/Count
So, we have
Mean = (82 + 94 + 105 + 68 + 57)/5
Evaluate
Mean = 81.2
The standard deviation is then calculated as:
So, we have:
SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]
This gives:
SD = √[1490.8/4]
So, we have:
SD = 19.3
Hence, the standard deviation of the data set is 19.3
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<h2>Answer:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find . Since:
and is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:
By Pythagorean theorem, for triangle NQP:
Applying Pythagorean theorem again, but for triangle MQN: