1.2 Study Guide Flash Cards
To study
What are the prefixes in the metric system
giga-
mega-
kilo-
heka-
deca-
Base Unit
deci-
centi-
milli-
micro-
nano-
pico-
femto-
atto-
Metric system Prefix Units and Scientific notation value
giga- G- 10^9
mega- M- 10^6
kilo- k- 10^3
heka- h- 10^2
deca- da- 10^1
Base Unit- 10^0
deci- d- 10^-1
centi- c- 10^-2
milli- m- 10^-3
micro- u- 10^-6
nano- n- 10^-9
pico- p- 10^-12
femto- f- 10^-15
atto- a- 10^-18
What is the relationship between the metric prefixes and base units?
The prefixes in the metric system tell you how many of the base unit is being represented.
What is mass?
How much matter an object has.
What is volume?
How much space and object takes up.
What is length?
How long and object is.
What is temperature?
How hot or cold something is.
What is the base unit for length?
Meters or m.
What is the base unit for mass?
Grams or g.
What is the base unit for volume?
Liters or l.
What is the base unit for temperature?
Kalve or K.
What is the order of finding Standard Deviation?
MEAN, VARIANCE, STANDARD DEVIATION!
How do you solve for the variance.
To calculate the variance, take each difference, square it, and then average the result.
How do you solve for the mean or average?
Add all of the numbers in a given data set and then divide the sum by the amount of original numbers.
How do you calculate Standard Deviation?
To calculate Standard Deviation you must find the variance. Then you must find the square root of the variance.
Find the variance.
3, 7, 8, 10, 16
Show your work.
- Find the mean of the data set.
(3+7+8+10+16)/5
44/5
8.8 = the mean
Find the difference between each of the data points and the mean.
8.8-3= 5.8
8.8-7= 1.8
8.8-8= 0.8
10-8.8= 1.2
16-8.8= 7.2
Take each difference and square them.
5.8^2 = 33.64
1.8^2 = 3.24
0.8^2 = 0.64
1.2^2 = 1.44
7.2^2 = 51.84
Find the mean of the data set.
(33.64+3.24+0.64+1.44+51.84)/5
90.8/5
18.16= the variance.
What is Standard Deviation?
A measure that is used to quantify the amount of variation in a set of data.
What is a independent variable?
An independent variable is exactly what it sounds like. It is a variable that stands alone and isn’t changed by the other variables you are trying to measure.
What is a dependent variable?
A dependent variable is the variable that changes as a result of the independent variable manipulation.
What variable goes on the X-axis?
The independent variable.
What variable goes on the y-axis?
the dependent variable.
Should a scale on graph be condensed or spread out?
Spread out.
What are values plotted with?
Points.
What should go at the top of a graph that summarizes what the graph is about?
The Title!
What are the different types of lines on a graph?
direct, indirect, constant, non-linear, peak
What is the mean?
The average of a set of data points.
What is the median?
The middle of a set of data points.
Find the mean of the following data set:
16, 15, 20, 25, 40, 72, 86, 55, 52, 36
Show your work.
- Add up the numbers in the data set. 16+15+20+25+40+72+86+55+52+36
- Divide the sum of the numbers by the amount of numbers originally in the data set.
417/10 - The mean or average of the data set is 41.7
Find the median of the following data set:
16, 15, 20, 25, 40, 72, 86, 55, 52, 36
Show your work.
- Order the numbers in the data set from least to greatest.
15, 16, 20, 25, 36, 40, 52, 55, 72, 86 - There are ten numbers, the fifth number is the median.
- The median of the data set is 38.
What is the range of a data set?
The range of a data set is the difference between the maximum and the minimum values.
Find the range of the following data set:
16, 15, 20, 25, 40, 72, 86, 55, 52, 36
Show your work.
- Find the largest and smallest number in the data set.
86 and 15 - Find the difference between the two numbers
86-15= - The range is 71 for this data set.
What is a direct relationship on a graph?
A direct relationship means that both variables increase together or both decrease together.
What is a indirect relationship on a graph?
An indirect relationship is when one variable increases, the other decreases.
What is a constant relationship on a graph?
A proportional relationship is a relationship with a constant ratio between two quantities.
What is a non-linear relationship on a graph?
A nonlinear relationship between two variables is one for which the slope of the curve showing the relationship changes as the value of one of the variables changes.
What is a peak relationship on a graph?
A peak is a point in the graph whose y -value is larger than the y -values of both of its immediate neighbors.
Find the Standard Deviation.
3, 7, 8, 10, 16
Show your work.
- Find the mean of the data set.
(3+7+8+10+16)/5
44/5
8.8 = the mean - Find the difference between each of the data points and the mean.
8.8-3= 5.8
8.8-7= 1.8
8.8-8= 0.8
10-8.8= 1.2
16-8.8= 7.2 - Take each difference and square them.
5.8^2 = 33.64
1.8^2 = 3.24
0.8^2 = 0.64
1.2^2 = 1.44
7.2^2 = 51.84 - Find the mean of the data set.
(33.64+3.24+0.64+1.44+51.84)/5
90.8/5
18.16= the variance. - Take the square root of the variance.
4.26 = The Standard Deviation
Write a claim about forest B in relation to forest A.
Forest B is a healthier forest than forest A. In the data shown, forest B has larger rings each year by approximately 4 mm. This means that Forest B has a more suitable environment than forest A because per the information given larger rings mean more growth in a certain time period. More growth means a healthier environment,
How many nanometers are in 4.5 cm
45,000000
How many mm are in 72 micrometers
0.072 mm
