NZ Level 7 (NZC) Level 2 (NCEA)

Comparison of Scores

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

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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.

Apply probability methods in solving problems