Use the following information to answer the question:
Mari and Kai's test scores are shown below:
Mari: 72, 80, 90, 73, 74, 90
Kai: 56, 63, 70, 100, 32, 23
Ir kai and Mari both got a 100 on the next test, then which student will see a greater increase in his or her math grade?
O
A. Both of the students averages remained the same.
O
B. Kai
O C. Both of the students saw a decrease in their averages.
D. Mari

Answer:

[tex]average \ score \ of \ Mari = \frac{72+80+90+73+74+90}{6} = 79.83\\average \ score \ of \ Kai = \frac{56+63+70+100+32+23}{6} = 57.33\\[/tex]

The next test they both score 100

[tex]average \ score \ of Mari = \frac{72+80+90+73+74+90+100}{7} = 82.71\\average \ score \ of Kai = \frac{56+63+70+100+32+23+100}{7} = 63.43\\[/tex]

The increase in average score for Mari is 82.71 - 79.83 =2.88

The increase in average score for Kai is 63.43 - 57.33 = 6.1

Option B. Kai

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