Question

Shikha has quiz scores of 27, 25, 24, 26 and 25 this term. If she gets a score of 25 and 28, which part of the data( mean, median, mode or range) will be affected? Explain your reasoning.

Answer 1

mean and range

arrangement before: 24,25,25,26,27

arrangement after: 24,25,25,25,26,27,28

mean before: (27+25+24+26+25)/5 = 25.4

mean after: (27+25+24+26+25+25+28))/5 = 25.7

median before: 25

median after: 25

mode before: 25

mode after: 25

range before: 24 to 27

range after: 24 to 28

hence, the mean and range were affected while the median and mode remained unchanged.