The mean of a dataset is the average of the dataset.
- The mean is 1.5
- The standard deviation is 1.58
- The median remains unchanged, the mean increases, and the standard deviation decreases when <em>5 is increased to a larger value</em>
The given parameters are:

<u>(a) Mean and Standard deviation</u>
The mean of the dataset is calculated using:

So, we have:



Hence, the mean is 1.5
The standard deviation is calculated using:

So, we have:




Hence, the standard deviation is 1.58
<u />
<u>(b) When 5 is increased to a larger value</u>
When 5 is increased:
- The median remains unchanged
- The mean increases
- The standard deviation decreases
Read more about median, mean, and standard deviation at:
brainly.com/question/12598273
Can you explain what the question is asking?
Please find the attached file for a proper understanding of the question given here. The diagram in the file attached is the complete accompanying diagram of the question.
As per that diagram,
(which is given)
and we know that
(vertically opposite angles).
Thus, the only way ΔDSB ≅ ΔTSR by SAS is when
as indicated in the diagram.
Thus,
is the correct answer.