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zaharov [31]
3 years ago
14

The quiz scores for two different groups of math students are given below. Use the mean and standard deviation to determine whic

h group has a higher average, and which group is more consistent. Group A – 75, 72, 77, 80, 87, 82, 79, 80, 75, 82 Group B – 71, 75, 85, 95, 71, 71, 90, 95, 87, 80
Mathematics
2 answers:
Nutka1998 [239]3 years ago
4 0
Group b would probably have the higher average
Gwar [14]3 years ago
4 0

Answer:

The average of group A is 78.9 and average of group B is 82. Therefore group B has a higher average.

The standard deviation of A is 4.1 and standard deviation of B is 9.23, therefore group A is more consistent.

Step-by-step explanation:

The quiz scores for two different groups of math students are given below.

Group A – 75, 72, 77, 80, 87, 82, 79, 80, 75, 82

Group B – 71, 75, 85, 95, 71, 71, 90, 95, 87, 80

Formula for mean is

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

The average of group A is

Mean_A=\frac{75+72+77+80+87+82+79+80+75+82}{10}=\frac{789}{10}=78.9

The average of group B is

Mean_B=\frac{71+75+85+95+71+71+90+95+87+80}{10}=\frac{820}{10}=82

The average of group A is 78.9 and average of group B is 82. Therefore group B has a higher average.

Formula for standard deviation is

S.D.=\sqrt{\frac{\sum(x-\overline{x})^2}{n}}

The standard deviation of group A is

S.D._A=\sqrt{\frac{168.9}{10}}\approx 4.1

The standard deviation of group B is

S.D._B=\sqrt{\frac{852}{10}}\approx 9.23

The standard deviation of A is 4.1 and standard deviation of B is 9.23, therefore group A is more consistent.

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