(c) Now suppose that the value of 68 is an error in the values presented above. The actual value should instead be 70. Suppose that the error is to be corrected so that the value 68 in the data set above is to be replaced with the value 70. The sample average and the sample median will then be calculated again to account for this correction having been made. Given this information choose the correct statement below. OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b). OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b). OThe corrected sample average will be the same as the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b). OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b). OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b). OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The numeric measurements for a random sample of six individuals are given below:
36, 71, 68, 52, 51, 59
Transcribed Image Text:The numeric measurements for a random sample of six individuals are given below: 36, 71, 68, 52, 51, 59
(c) Now suppose that the value of 68 is an error in the values presented above. The actual value should instead be 70. Suppose that the error is to be corrected so that the value 68 in the data
set above is to be replaced with the value 70. The sample average and the sample median will then be calculated again to account for this correction having been made. Given this information
choose the correct statement below.
OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b).
OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b).
OThe corrected sample average will be the same as the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b).
OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b).
OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b).
OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b).
Transcribed Image Text:(c) Now suppose that the value of 68 is an error in the values presented above. The actual value should instead be 70. Suppose that the error is to be corrected so that the value 68 in the data set above is to be replaced with the value 70. The sample average and the sample median will then be calculated again to account for this correction having been made. Given this information choose the correct statement below. OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b). OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b). OThe corrected sample average will be the same as the sample average calculated in part (a) and the corrected sample median will be less than the sample median calculated in part (b). OThe corrected sample average will be less than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b). OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be the same as the sample median calculated in part (b). OThe corrected sample average will be greater than the sample average calculated in part (a) and the corrected sample median will be greater than the sample median calculated in part (b).
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