 New Zealand
Level 7 - NCEA Level 2

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
a

How many standard deviations above the mean was the student's score in Science?

b
How many standard deviations above the mean was the student's score in Maths?
c

In which subject was his performance better?

Science

A

Math

B

Science

A

Math

B
Easy
Approx a minute

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.

Outcomes

S7-4

S7-4 Investigate situations that involve elements of chance: A comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions B calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

91267

Apply probability methods in solving problems