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Answer:
Step-by-step explanation:
There are 15 numbers on a list, and the smallest number is changed from 12.9 to 1.29.
a. Is it possible to determine by how much the mean changes? If so, by how much does it change?
Yes. The total would decrease by 11.61. so mean would decrease by 11.61/15 =0.774
b. Is it possible to determine the value of the mean after the change? If so, what is the value?
No. new men would be old mean - 0.774
c. Is it possible to determine by how much the median changes? If so, by how much does it changes?
Though the smallest number is changed the position does not change.
Hence median will not change.
d. Is it possible to determine by how much the standard deviation changes? If so, by how much does it change?
The original variance would be average of square of deviations of the old mean.
Yes, it possible to determine by how much the mean changes. so, 0.7741 change in mean.
No, it is not possible to determine the value of the mean after the change because the value of mean is unknown before the mean
No, it possible to determine by how much the median changes. so, the value of mean will remain same.
No it is impossible to determine how much the standard deviation changes .
Given that,
There are 15 numbers on a list, and the smallest number is changed from 12.9 to 1.29.
We have to find,
All the statements about mean and median are correct or not.
According to the question,
- The total would decrease by 11.61.
Then,
Mean would decrease by,
[tex]= \dfrac{11.61}{15} \\\\= 0.774[/tex]1
Yes, it possible to determine by how much the mean changes. so, 0.7741 change in mean.
- New men would be old mean - 0.7741.
No, it is not possible to determine the value of the mean after the change because the value of mean is unknown before the mean.
- Though the smallest number is changed the position does not change.
Yes, It is possible to determine by how much the median changes because we have 15 numbers in a data set and doesn’t effect the median so the median didn’t change.
Hence median will not change.
No, it possible to determine by how much the median changes. so, the value of mean will remain same.
- The original variance would be average of square of deviations of the old mean.
No it is impossible to determine how much the standard deviation changes .
To know more about Mean click the link given below.
https://brainly.com/question/16776778
