8.07 Comparison of scores
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
Ivan scored $55.25$55.25 in his test, in which the mean was $64.5$64.5 and the standard deviation was $2.5$2.5.
Maria scored $50.22$50.22 in her test, in which the mean was $57.9$57.9 and the standard deviation was $2.4$2.4.
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?
Ray scored $12.49$12.49 in his test, in which the mean was $7.9$7.9 and the standard deviation was $1.7$1.7.
Gwen scored $30.56$30.56 in her test, in which the mean was $20.2$20.2 and the standard deviation was $2.8$2.8.