Mathematics: Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 6. he received a score of 79 on a biology test for which the class mean was 70 with standard deviation 4. on which test did he do better relative to the rest of the class?

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Raul received a score of 77 on a history test for

deena7

12.03.2022

He did better on biology test.

Step-by-step explanation:

For comparing the scores we need to find z-scores for both subjects,

We know that,

z-score or standard score for x is,

$z=\frac{x-\mu}{\sigma}$

Where, $\mu$ is mean,

$\sigma$ is standard deviation,

In history test,

x=77

$\mu=70$

$\sigma = 6$

Thus, the z-score would be,

$z_1=\frac{77-70}{6}$

$\approx 1.167$

In biology test,

x=79

$\mu = 70$

$\sigma = 4$ ,

Thus, the z-score would be,

$z_2=\frac{79-70}{4}$

= 2.25

∵ z_2z_1

Hence, he did better on biology test.

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