Interactive practice questions
The following table shows the marks obtained by a student in two subjects.
| Subject | Mark | Mean | Standard Deviation |
|---|---|---|---|
| Science | $100$100 | $44$44 | $14$14 |
| Math | $98$98 | $68$68 | $15$15 |
| Subject | Mark | Mean | Standard Deviation |
|---|---|---|---|
| Science | $100$100 | $44$44 | $14$14 |
| Math | $98$98 | $68$68 | $15$15 |
How many standard deviations above the mean was the student's score in Science?
In which subject was his performance better?
Science
Math
Languages and Mathematics are very different disciplines, and so to compare results in the two subjects, the standard deviation is used. The mean and standard deviation of exam results in each subject are given.
Dylan scored $90%$90% with a $z$z-score of $2$2 in English, and $78%$78% with a $z$z-score of $4$4 in mathematics.
In which subject was his performance better, relative to the rest of his class?
Jenny scored $81%$81% with a $z$z score of $-2$−2 in English, and $72%$72% with a $z$z score of $-4$−4 in Mathematics. In which subject was her performance better, relative to the rest of the class?