his Question: 1 pt 5 of 21 (0 complete) v This Test: 21 pts possible After enter
ID: 3178949 • Letter: H
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his Question: 1 pt 5 of 21 (0 complete) v This Test: 21 pts possible After entering the test scores from her Statistics class of 21 students, the instructor calculated the mean, median, IQR, and standard deviation of the test scores. Upon checking, she discovered that the top score entered was 79, but it should have been 89. What effect will correcting the error have on the lQR and the standard deviation? Determine the effect that correcting the error will have on the IQR. O A. The IQR wil not change. O B. The IQR will decrease. O C. The IQR will increase. O D. It is impossible to determine how the IQR wil change. Determine the effect that correcting the error will have on the standard deviation. O A. The standard deviation will decrease O B. The standard deviation will not change. O C. It is impossible to determine how the standard deviation will change. o D. The standard deviation will increase.Explanation / Answer
Solution:-
5.
=> option A. The IQR will not change.
explanation: IQR is the difference of third and first quartile. When lowest or highest value of the data set chaged, first and third quartile will not be affected. So IQR remain same.
=> option D. The standard deviation will increase
explanation: As one value decreases , mean will also decrease. So deviaiton from mean will increase and so standrad deviation will also increase.
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