Segment Addition:
View Video: Number and Algebra in Deltamath
https://www.educreations.com/lesson/view/line-segment-addition-postulate/54764855/?s=Z4H6el&ref=link
Assignment:
Thursday, May 14, 2020
Tuesday, May 12, 2020
Algebra 1- The Segment Addition Postulate
Suppose XA = 3x and AY = 4x - 6. If A is the midpoint of XY, what is the length of XY?
3x 4x - 6
_________________________________
X A Y
_________________________________
X A Y
The trick in this problem is to see that if A is the midpoint, then XA = AY.
Since XA = AY, 3x = 4x - 6
Since XA = AY, 3x = 4x - 6
Subtract 3x from both sides.
3x - 3x = 4x - 3x - 6
0 = x - 6
Add 6 to both sides of the equation.
0 + 6 = x - 6 + 6
6 = x
3x - 3x = 4x - 3x - 6
0 = x - 6
Add 6 to both sides of the equation.
0 + 6 = x - 6 + 6
6 = x
To compute XA, you can either use 3x or 4x - 6
Using 3x, we get XA = AY = 3 × 6 = 16
Using 3x, we get XA = AY = 3 × 6 = 16
Using 4x - 6, we get XA = AY = 3 × 6 - 6 = 18 - 6 = 12
XY = XA + AY = 16 + 16 = 32
The length of XY is 32.
Assignment:
Thursday, May 7, 2020
Algebra 1- Joint and marginal frequency tables re-teaching
Good afternoon,
Since we struggled with this concept, I will be reteaching it today.
See you at the zoom call!
Since we struggled with this concept, I will be reteaching it today.
See you at the zoom call!
Tuesday, May 5, 2020
Algebra 1- Joint and marginal frequency tables
Relative Frequency
How often something happens divided by all outcomes.
All the Relative Frequencies add up to 1 (except for any rounding error).
Friday, May 1, 2020
2 way table
Two-Way Table
Do you believe in Martians? Here is a survey of 100 college students asking that very question: Do you believe in Martians?
| Gender | Yes | No |
|---|---|---|
| Male | 10 | 32 |
| Female | 38 | 20 |
| Total | 48 | 52 |
This type of table is called a two-way or contingency table.
A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category. The row category in this example is gender - male or female. The column category is their choice, yes or no.
There is a lot of information we can learn from this small table. Let's look at a couple questions you could see on a test.
How many males were asked? Let's look across the male row. Ten said 'yes' and 32 said 'no.' That would be a total of 42 males.
How many college students believe in Martians? Look down the Yes column. Ten males and 38 females said 'yes.' That would be a total of 48 college students.
Example #2
A recent survey of 100 college students asked if they prefer to drink tea, coffee, or an energy drink during finals week. Here is the table created from that survey.
| Gender | Tea | Coffee | Energy Drink |
|---|---|---|---|
| Male | 2 | 15 | 39 |
| Female | 18 | 20 | 6 |
| Total | 20 | 35 | 45 |
Let's look at a couple questions you could see on a test.
How many college students drink tea given that they are a female? In this question, we're looking for tea drinkers that are female. Let's look at the female row and tea column. The answer is 18.
How many students drink tea or are male? In this question, we're looking for all tea drinkers united with all males. To figure out the answer, let's highlight the Tea column and Male row. We do have an overlap at Tea and Male, so be sure not to add that twice. So our answer is Total Tea drinkers 20 plus Total Males 56 minus the overlap of 2. 20 + 56 - 2 = 74. There are 74 students that are tea drinkers or male.
Source:https://study.com/academy/lesson/what-is-a-two-way-table.html
Assignment: quizziz code: 898765
Tuesday, April 28, 2020
5 number summary
You only need the five values listed above (min, Q1, Q2, Q3, and max) in order to draw your box-and-whisker plot. This set of five values has been given the name "the five-number summary".
Examples
Example 1
Earlier you were asked to compute the five number summary for 0, 0, 1, 2, 63, 61, 27, 13. It helps to order the data.
0, 0, 1, 2, 13, 27, 61, 63
- Since there are 8 observations, the median is the average of the
4th and5th observations:2+132=7.5 - The lowest observation is 0.
- The highest observation is 63.
- The middle of the lower half is
0+12=0.5 - The middle of the upper half is
27+612=44
The five number summary is 0, 0.5, 7.5, 44, 63
Example 2
Create a set of data that meets the following five number summary:
{2, 5, 9, 18, 20}
Suppose there are 8 data points. The lowest point must be 2 and the highest point must be 20. The middle two points must average to be 9 so they could be 8 and 10. The second and third points must average to be 5 so they could be 4 and 6. The sixth and seventh points need to average to be 18 so they could be 18 and 18. Here is one possible answer:
2, 4, 6, 8, 10, 18, 18, 20
Example 3
Compute the five number summary for the following data:
1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9, 10, 15
There are 20 observations.
- Lower : 1
Q1:2+32=2.5 Q2:4+52=4.5 Q3:6+72=6.5 - Upper : 15
Example 4
Compute the five number summary for the following data:
4, 8, 11, 11, 12, 14, 16, 20, 21, 25
There are 10 observations total in this set of data.
- Lowest value (minimum) : 4
Q1:11 (Note that this is the median of the first half of the data - 4, 8, 11, 11, 12)Q2:12+142=13 (Note that this is the median of the full set of data)Q3:20 (Note that this is the median of the second half of the data - 14, 16, 20, 21, 25)- Upper value (maximum) : 25
The five number summary is 4, 11, 13, 20, 25.
Example 5
Compute the five number summary for the following data:
3, 7, 10, 14, 19, 19, 23, 27, 29
There are 9 observations total. To calculate Q1 and Q3 , you should include the median in both the lower half and upper half calculations.
- Lowest value (minimum) : 3
Q1:10 (this is the median of 3, 7, 10, 14, 19)Q2:19 Q3:23 (this is the median of 19, 19, 23, 27, 29)- Upper value (maximum) : 29
The five number summary is 3, 10, 19, 23, 29.
Assignment:
Sources: https://www.purplemath.com/modules/boxwhisk2.htm
Subscribe to:
Posts (Atom)