New Zealand

Level 7 - NCEA Level 2

Find the following based on this set of scores:

$19,18,14,19,10$19,18,14,19,10

a

Find the mean.

b

Complete the following table.

Score($x$x) |
$(x-$(x−mean$)$) |
$(x-$(x−mean$)^2$)2 |
---|---|---|

$19$19 | $\editable{}$ | $\editable{}$ |

$18$18 | $\editable{}$ | $\editable{}$ |

$14$14 | $\editable{}$ | $\editable{}$ |

$19$19 | $\editable{}$ | $\editable{}$ |

$10$10 | $\editable{}$ | $\editable{}$ |

c

Thus, find the standard deviation, correct to 2 decimal places.

d

Find the range of the set of scores.

Easy

Approx 7 minutes

Consider the set of scores below:

$12,21,-9,-18,49$12,21,−9,−18,49

Find the population standard deviation of the following set of scores, to two decimal places, by using the statistics mode on the calculator:

$8,20,9,9,8,19,9,18,5,10$8,20,9,9,8,19,9,18,5,10

Find the population standard deviation of the following set of scores correct to two decimal places by using the statistics mode on the calculator:

$-17,2,-6,9,-17,-9,3,8,5$−17,2,−6,9,−17,−9,3,8,5

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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