New Zealand
Level 7 - NCEA Level 2

# 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
7min

Consider the set of scores below:

$41,-15,-7,10,26$41,15,7,10,26

Easy
5min

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

Easy
1min

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

Easy
1min

### 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