NZ Level 7 (NZC) Level 2 (NCEA)
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Standard Deviation using sample population

Interactive practice questions

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) $(x-$(xmean$)$) $(x-$(xmean$)^2$)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
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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 by using the statistics mode on the calculator:

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

Find the sample standard deviation of the following set of scores correct to $2$2 decimal places by using the statistics mode on the calculator:

$-14,5,1,-7,8,-17,-6,8,5,3$14,5,1,7,8,17,6,8,5,3

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

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