If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?
1 answer:
The standard deviation is 1.98. Option A is correct.
The standard deviation formula is given as
where:
- SS is the sum of squares = 200
- n is the sample size = 51
Substitute the given parameters into the formula to have:
Hence the standard deviation is 1.98
Learn more on standard deviation here: brainly.com/question/12402189
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A dilated shape will either be enlarged or compressed.
<em>Allen did not make any mistake, and the scale factor is 3.</em>
The dimension of the smaller rectangle (figure Z) is:
3 units by 4 units
The corresponding dimension of the bigger rectangle (figure Z') is:
9 units by 12 units
The scale factor (k) is calculated by dividing the dimensions of Z' by Z.
So, we have:
or
Notice that both values of k are the same (i.e. 3)
This means that the scale factor is 3
Also figure Z and Z' share the same center of origin at point X
This means that the center of dilation from Z to Z' is X
Hence,
Allen made no mistake, and she is correct about the scale factor.
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