Question

A student took an exam in French and math. In French, she scored 81 and in math 86. The overall results on the French exam had a mean of 72 and a standard deviation of 9, while the mean math score was 68, with a standard deviation of 12. On which exam did she do better, as compared with other students?

Answer 1

Answer:

She can do better in math.

Step-by-step explanation:

Any point (x) from a normal distribution can be converted to the standard normal distribution (z) with the formula z=

$\frac{x-mean}{Standard deviation}$

for french  x = 81 and mean 72  ,standard deviation = 9

for french the value of Z  = $\frac{(x-mean)}{Standard deviation}$

                                         = $\frac{81-72}{9}$

                                           =  ±1

For math x =86 and mean=68 ,standard deviation = 12

for math the value of z $\frac{68-86}{12}$ =±1.5

Since value of Z is more in subject math as compare  to  that of French

so she did better in Mathematics