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 sample 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:

$41,-15,-7,10,26$41,−15,−7,10,26

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

$13,4,11,8,9,11,2,6,15,3$13,4,11,8,9,11,2,6,15,3

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

$9,5,-14,8,1,3,-6,-16,8,-17$9,5,−14,8,1,3,−6,−16,8,−17

Sign up to access Practice Questions

Get full access to our content with a Mathspace account

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