Mathematics, 10.07.2019 17:00 KingSavage278

After entering the test scores from her statistics class of 25 students, the instructor calculated the mean and the median of the scores. upon checking, she discovered that the top score entered was 48, but it should have been 58. when she corrects this score, how will the mean and median be affected

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After entering the test scores from her statistics class of 25 students, the instructor calculated the mean and the median of the scores. Upon checking, she discovered that the top score entered was 48, but it should have been 58. When she corrects this score, how will the mean and median be affected

Solution: Mean is the sum of scores divided by the number of scores.

$Mean =\frac{\sum x}{n}$

Therefore, when the data set is corrected by entering the top score 58 in place of 48, the mean will be increase as total value will be higher than before (though n=25)

Therefore, the mean will get affected after making the correction.

The median is middle value of the data, which divides the data into two equal halves. Therefore, changing the largest value in the series will have no impact on the middle value. Hence the median will remain unaffected.

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