Review and Effects on Outliers

REMINDER !
Always Re-order before figuring out all measurements of tendency.
mean: All the numbers added together, divide by home much digits.
median: the middle number OR (if there is no middle number) add the two middle
numbers and divide by 2.
mode: the most number(s) there.
range: diffrence between the largest and smallest values in a data set.
outlier: number(s) that don't really fit with that data set.

Find the mean, median, mode, range, and outlier(s).
a) 12, 20, 18, 15, 10, 12.
b) 48, 32, 67, 61, 47, 95, 89, 888, 1.

a) re-order: 10, 12, 12, 15, 18, 20.
mean: 14.50
median: 13.5
mode: 12
range: 10
outlier(s): No outliers

b) re-order: 1, 32, 47, 48, 61, 67, 89, 95, 888.
mean: 166
median: 61
mode: no mode
range: 887
outlier(s): 888 and 1

Here is a video that covers: mean, median, mode and range.
Here is a video that covers: range and outlier(s).

Effects on Outliers
- Some outliers need to be removed from a data set. This is typically a judgement call.
- Outliers have an effect on ALL measurements of tendency.


HOMEWORK !
PAGES 444 - 445 NUMBERS 1 to 8 !
ALSO, Don't forget, we need to hand in our Number of the Day! So make sure you're done all of it to get a good mark ! :)

Random

Random: An event in which every Outcome has an equal chance of occurring. 

                 ex. Flipping a coin, Spinning a spinner, Rolling a dice, and Selecting a card.

Not random: 

Spinning a spinner with one unequal side.

Goldilocks sits on chairs and eats porridge. How many possible outcomes are there?

There are 9 possible outcomes. 1/9 and 1:9 and 1%.

Q: Does Goldilocks choose the chair and porridge at Random? Explain your answer.

A: No, she has a choice and preference.

She is picking the one she likes.

*If you have a choice, It's not random.

Q: What is the probability of Goldilocks picking just the right porridge? 

A: 100%, Goldilocks picks it.

A marble is randomly selected from a bag containing one blue, one red, and one green. Then, a four sided die labeled 1, 2, 3, and 4 is rolled.

a)Create a table to show the Sample Spacer.

b) What is the probability of choosing any colour, and rolling any number but 3.

c) What is P(blue or green, a number greater than 1)?

d) What is P(black, 1)?

e) What is the probability that a red, green or blue marble is selected and the die displays a 4?

ANSWERS:

a)

b)9/12= 3/4 and 3:4 and 75%

c)6/12= 1/2 and 50%

d)0/12 and 0:12 and o% (impossible event)

e) 3/12= 1/4 and 1:4 and 25%

Homework:

A four sided die is labelled 1, 2, 3 and 4. 

A spinner divided into 5 equal parts: fly, swim, hop, glide and walk.

a) Create a table and sample spacers.

b) What is P(3, swim)?

c) What is P(odd#, hop)?

Introduction of Probability.

Probability:

• Is the likely hood or change of an event occurring.
• Probability= favourable outcomes divided or over possible outcomes.

Probability can also be expressed as a ratio, fraction, or percent.

Outcome:

• One possible result of a probability experiment.
•  (What might happen)

Favourable Outcome:

• a successful result in a probability experiment.
• (What people want to happen)

Here's an example!

http://www.youtube.com/watch?v=BAjOEsU_mpE

this video will help you on: How to find Probability. :)

*Sorry for the late upload!

If I missed anything, please let me know!

01/08/2010 Fractions.

There are 32 students in the class. One fourth of them are boys. Half of the boys passed the test. Three quarters of the girls passed the test. How many students passed the test? (32 kids all together)
Boys: Girls:
8 24
Passed: Passed:
4 + 18 = 22
*ANSWER: 22 kids passed the test.

Let's go shopping! Louis finds some great deals on dresses and earrings. The dress he bought is 3/5 the original of $60. The earrings were 3/8 the original price of $24. How much is his bill beofre tax? How much after 5% GST and 7% PST?

dress: 60/5= __ x 3 = 36.

earrings: 24/8= __ x 3 = 9.

= 45$ before tax.

45 x 12 = $5.40 (tax)

or ...

45 x 0.12 = $5.40 (tax)

*Your total bill will be $50.40

1/4 + 2/4= 3/4, 0.75, 75%

2/3 + 2/3= 1 1/3 or 4/3.

1/10 of 2/5 of 1/3 of 3/4 of 1/5 of 1/2 of 100.

1000 to, 500 to, 100 to, 75 to, 25 to, 10!

* Remember, to do your HOMEWORK! :)
3/10 + 13/25 + 37/75 = ?

Geometry

Parallel - describes lines in the same place that never cross or intersect.
- they are marked using arrows.

Perpendicular - describes lines that intersect at right angles (90degrees)
- they are marked using a small arrow.

measure the distance from: A to B = 8.9 cm B to C = 8.9 cm
E to F = 8.9 cm F to G = 8.9 cm
I to J = 8.9 cm J to K = 8.9 cm

Identify any parallel line segment line:

AE is parallel to BF
BF is parallel to CG
EI is parallel to FJ
FJ is parallel to GK
AI is parallel to CK

Parallel lines are always the same distance apart. No matter where you measure as long as you measure using perpendicular lines.

Now using the same picture ^, identify any perpendicular line segments.
AE is perpendicular to DF
BF is perpendicular to EG
CG is perpendicular to FH

1. Are line segments AE and DF parallel?
2. Are line segments DF and BE perpendicular?
3. Are line segments AC and BG perpendicular?
How do you know?
4. Would a line segment joining A to D be parallel to a line segment BE?
How do you know?