Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set

Question

Aaliyah Sanders

Mathematics

24 April, 06:14

Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set

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Answers (1)

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Serena Spears · Answer 1

Answer: The mean will increase and the median would not change

Step-by-step explanation:

Recorded data by Priya:

dа ta: 1,8,6,2,4

Mean of data = (1+8+6+2+4) / 5

=21/5 = 4.2

Median of data = 1,2,4,6,8

Median = 4

Correct dа ta: 1,18,6,2,4

Mean of data = (1+18+6+2+4) / 5

=31/5 = 6.2

Median of data = 1,2,4,6,18

Median = 4

Therefore; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.