Statistics

Level 3 Learning Outcomes:

- gain information from a variety of data displays.

- be aware of the type of data each display is appropriate for and the kind of pattern/relationship it best communicates.

- link others’ claims with the appropriateness of displays used.

Level 4 Learning Outcomes:

- consider features of others’ statistical investigations including appropriateness of sampling methods, quality of data collection, data collection and the extent to which evidence supports claims.

Gathering and Analysing Data:

How long does it take for each Group 5 student to do 20 star jumps?

My Data:

17, 13, 14, 11, 13, 14, 13, 14, 16, 11, 14, 13, 13, 12, 15, 13, 13, 12, 15, 12,

 11,   11,  12,   12,  12,   13,   13,   13,   13,   13,  13,  13,   14,   14,    14,   14,    15,  15,  16,  17 

Analysing my data:

The fastest time was: 11 seconds

The slowest time was: 17 seconds

Range: 17 - 11 = 6 seconds

Mode: 13 seconds

Median: 13 seconds

Mean: 13.4 = 13 seconds
11 x 2 = 22, 12 x 3 = 36, 13 x 7 = 91, 14 x 4 = 56, 15 x 2 = 30, 16 x 1 =16, 17 x 1 = 17
22 + 36 + 91 + 56 + 30 + 16 + 17 = 268
268 ÷ 20 = 13.r4 = 13

The combined time: 268 seconds
11 x 2 = 22, 12 x 3 = 36, 13 x 7 = 91, 14 x 4 = 56, 15 x 2 = 30, 16 x 1 =16, 17 x 1 = 17
22 + 36 + 91 + 56 + 30 + 16 + 17 = 268

READING OTHERS INVESTIGATIONS:

The information I have gathered from this graph is:
Some of the information I have gathered from this graph is that the bear
population has mostly been increasing each year. By this I mean in the year 2000
there were 40,000 bears in the Emerald Forest, and in 2001 it increased to 50,000 bears.
In 2002 the population grew 20,000 more to make it 70,000, one of the years with the highest
increasing rate is 2003, as it jumped from 70,000 - 120,000. 2004 had increased to 120,000,
and in 2005 the population didn't grow so it stayed the same. Finally in 2006 the population
grew to 140,000 bears that live in Emerald Forest.

40,000, 50,000, 70,000, 120,000, 120,000, 140,000

Median: 120,000 bears
Mode: 150,000 bears
Range: 100,000 bears 140,000 - 40,000 = 100,000
Mean: 90,000 bears
40,000 + 50,000 + 70,000 + 120,000 + 120,000 + 140,000 = 540,000
540,000 ÷ 6 = 90,000
Combined number: 540,000 bear

The information I have gathered from this graph is:
Some of the information I have gathered from this graph is that they interviewed
34 people, and asked them what pet do you own which then gathered that
out of 34 people 4 people owned a rabbit, 8 people owned a dog, 11 people
owned a cat, 6 people owned a goldfish, and 5 people owned a hamster as
a pet. From this I know that the most common pet was a cat and the least
common pet is a rabbit.

4, 5, 6, 8, 11

Median: 6 goldfish
Mode: There isn't a mode as not one of the numbers appear twice
Range: 7 pets
Mean: 6 r 4 = 6 pets
4 + 5 + 6 + 8 + 11 = 34
34 ÷ 5 = 6 r 4 = 6
Combined number: 34 pets

The information I have gathered from this graph is:

Some of the information I have gathered from this graph is that 9% of males
buy classical music, and 7% females buy classical music. So that means
that men enjoy listening to classical music more. From this ages 16-24 only
2% buy classical music including both males and females. Ages 25- 34 17%
like to listen to classical music again both males and females, and ages 35-44
only 3% like to listen to classical music. Finally ages 45+ 20% like to listen to classical
music which is the largest percentage and ages 16-14 have the lowest percentage with
2%.

2, 3, 7, 8, 17, 20

Median: 7%, and 8%
Mode: There isn't a mode as not one of the numbers appear twice
Range: 18% 20 - 2 = 18Mean: 9.3 = 9
2 + 3 + 7 + 8 + 17 + 20 = 56
56 ÷ 6 = 9.3 = 9
Combined number: 56%

The information I have gathered from this graph is:
Some of the information I have gathered from this graph is that 35% people
prefer to drink classic coke, 26% prefer to drink Pepsi-Coke, 15% prefer to
drink diet coke, 12% prefer to drink Dr Pepper, and 10% prefer to drink Spite.
From this I found that the most popular is Classic Coke and the least popular
is Sprite, and that they interviewed 98 people for their preference.

10, 12, 15, 26, 35

Median: 15%
Mode: There isn't a mode as not one of the numbers appear twice
Range: 25% 35 - 10 = 25
Mean: 19 . 6 = 20%
10 + 12 + 15 + 26 + 35 = 98
98 ÷ 5 = 19 . 6 = 20

Combined number: 98%