# DEV 085 Unit 4 Notes Measurement Statistics.ppt by longze569

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```									DEV 085
Unit 4 Notes:
Measurement
Statistics
Systems of Measurement:
There are two different systems that we
will discuss:
American/Standard
Metric

You will need to know certain “standards.”

You will need to know how convert within
each system and how to convert between
the systems.
American System Standards:
Length:
12 inches (in)   =   1 foot (ft)
36 inches (in)   =   1 yard (yd)
3 feet (ft)      =   1 yard (yd)
American System Standards:
Weight:
16 ounces (oz)     =   1 pound (lb)
2,000 pounds (lbs) =   1 Ton (T)
American System Standards:
Time:
60 Seconds (sec)   =   1 minute (min)
60 Minutes (min)   =   1 hour (hr)
24 hours (hr)      =   1 day (d)
7 days (d)         =   1 week (wk)
American System Standards:
Volume (Liquid):
8   ounces (oz)   =   1   cup (c)
2   cups (c)      =   1   pint (pt)
2   pints (pt)    =   1   quart (qt)
4   quarts (qt)   =   1   gallon (gal)
Converting within the American System:
To convert within the American System,
use Dimensional Analysis.

Given Unit   x   Desired Unit
1             Given Unit

This comes                 This comes
from the                   from your
problem…                  “standards”
American System Conversions:

Steps for Converting

Step 1 – Set up your proportion
Step 2 – Solve the proportion
Example:      60 inches = ___ feet

60 inches x 1 foot   = 60   = 5 feet
1      12 inches     12
American System Conversion
Practice:
Convert the following:
96
8 ft = ___ in                    16
2 gal = ___ pt

.75
27 in = ___ yd                    26
78 ft = ___ yd

2.7
162 min = ___ hr                  1.5
36 hr = ___ d
Metric System of Measurement:
3 Basic units of Measurement
Length – Meters
Weight – Grams
Volume (Liquid) – Liters
____ ____ ____ ______ ____ ____ ____
Meter

Centi-
Hecto-

Deka-

Deci-

Milli-
Kilo-

Liter
Gram
Conversions within the Metric
System:
Conversions within the Metric System
are a matter of moving the decimal
point.

Large to Small (Left to right)

Small to Large (right to left)
Conversions within the Metric
System:
Move your decimal point to the right for
each “step” if going from larger to
smaller units…
50
5 cm = ___ mm
Move your decimal point to the left for
each “step” if going from smaller to
larger units.
.35
35 cm = ___ m
Metric System Conversion
Practice:
Convert the following:
5000
5 m = _____ mm                    .52
52 cm = _____ m

5.45 cm = 54.5 mm
____                   3,000
3 kg = _____ g

2.75 L = ______ kL
0.00275                    ____
0.23 km = 230,000mm
Conversions Between Systems:
For conversions between systems, use
the Equivalent Measures Chart and
Dimensional Analysis.

(The Equivalent Measures Chart will be
given to you so there is no need to
memorize it…)
Dimensional Analysis:
Given Unit   x   Desired Unit
1             Given Unit

This comes                  This comes
from the                    from your
problem…                   “Equivalent
Measures
Chart”
Equivalent Measures Chart:
American   to Metric   Metric to   American
1 mi =      1.61 km    1 km =       .62 mi
1 yd =      .914 m     1 m =        1.09 yd
1 ft =      .305 m     1 m =        3.28 ft
1 in =      2.54 cm    1 cm =       .394 in
1 gal =     3.79 L     1 L =        .264 gal
1 qt =      .946 L     1 L =        1.06 qt
1 lb =      .454 kg    1 kg =       2.2 lbs
1 oz =      28.35 g    1 g =        .0353 oz
Using Dimensional Analysis:
Steps for Converting
Step 1 – Set up your proportion
Step 2 – Solve the proportion
Example: 7 lbs = ___ kg
7 lbs x 0.454 kg      = 3.178 kg
1     1 lb

Example: 12 cm = ___ in
12 cm x 0.394 in      = 4.728 in
1       1 cm
Metric Conversion Practice:
1.525
5ft = ____ m              1.056
4 L = ____ gal

35.2
16 kg = ____ lbs           396.9
14 oz = ____ g

4 mi = 6.44 km
____        235 g = 8.2955 oz
_____

7 qt = 6.622 L
____              13.12
4 m = ____ ft
Statistics:
Circle and Bar Graphs
•Look at the different parts of the
graph
•Look at the different percentages or
numbers that are given
•Be sure to answer what the question
Statistics:
Statistical Data Measures:

Mean – the “average” for a set of data.
To find the mean of a set of data -
find the average
Step 1 – Add values together
Step 2 – Divide by the number of values
Statistics:
Statistical Data Measures:

Median – the middle value for a set of data.

To find the median of a set of data:

Step 1 – Arrange the data in numerical
order from least to greatest (smallest
at the top…largest at the bottom)
Step 2 – Find the middle value (the value in
the middle of the data set)
Statistics:
Statistical Data Measures:

Mode – the value that appears most often
in a set of data.

To find the mode…Identify the value that
appears most often.

(Sometimes it is easiest to do the mode
after you have arranged the values in
numerical order for finding the median.)
Statistics Example:
Number of Credit Hours Taken
Spring Quarter
10 11 15 12 10
16 12 16 8 4

Mean= 12.4
10 + 11 + 15 + 12 + 10 + 16 + 8 + 4 = 124

124 ÷ 10 = 12.4
Statistics Example:
Number of Credit Hours Taken
Spring Quarter            4
10 11 15 12 10               8
16 12 16 8 4               10
10
Median= 11.5                   11
12
No middle value therefore      12
need to average the two        15
middle values                  16
16
Statistics Example - Mode:
Number of Credit Hours Taken
Spring Quarter           4
10 11 15 12 10
8
16 12 16 8 4
10
10
11
Mode = 10, 12, 16             12
12
15
16
16
Statistics Practice - Mean:
Red M & M’s in the Snack-size Bag
12 14 16 12 10 8

Mean= 12
12 + 14 + 16 + 12 + 10 + 8

72 ÷ 6 = 12 Red M & M’s per bag
Statistics Practice - Median:
Red M & M’s in the Snack-size Bag
12   14     16    12   10    8

8
10
Median= 11.5                       12
12
No middle value therefore need      14
to average the two middle           16
values…since the numbers are the
Statistics Example - Mode:
Red M & M’s in the Snack-size Bag
12   14     16    12   10    8      8
10
12
12
14
Mode = 12                       16
Statistics Practice - Mean:
Morning Temperatures in May
60 57 55 53 60

Mean= 57o
60 + 57 + 55 + 53 + 60 = 285
o
285 ÷ 5 = 57
Statistics Practice - Median:
Morning Temperatures in May
60    57   55   53     60

53
55
Median= 57o                   57
60
60
Statistics Example - Mode:
Morning Temperatures in May
60    57   55   53     60    53
55
57
60
60
Mode = 60o
Finding a Grade Point Average (GPA)
GPA = Total points earned  Total Credit Hours
To Find GPA, you MUST know:
• your total number of credit hours
• the total number of points earned
Keep in mind
A = 4 points
B = 3 points
C = 2 points
D = 1 point
F = 0 points
Joe earned the following grades: 4 credit hour
A, 4 credit hour B, 2 credit hour B, and a 3
credit hour C. Find his GPA.
The first thing you need to do is figure out how
many credit hours there are and how many points
have been earned.
4 Cr. Hr. A   …   4   x   4   =   16   points
4 Cr. Hr. B   …   4   x   3   =   12   points
2 Cr. Hr. B   …   2   x   3   =    6   points
3 Cr. Hr. C   …   3   x   2   =    6   points
13 Cr. Hr.                        40   points
The second step is to divide. How far out you
divide is dependent upon where you need to round
to.
3. 0 7 6
GPA       13    4 0. 0 0 0
13 40
-3   9
1 0
- 0
1 0     0
- 9     1
GPA = 3.08                     9   0
-   6   8
Sam has the following grades: 4 credit hour A, 3
credit hour B, 3 credit hour B, 2 credit hour C. Find
his GPA.
4 Cr. Hr. A …      4x4=        16 points
3 Cr. Hr. B …      3x3=        9 points
3 Cr. Hr. B …      3x3=        9 points
2 Cr. Hr. C …      2x2=        4 points
12 Cr. Hr.                    38 points

38 points ÷ 12 Cr. Hr = 3.167 GPA
Sue has the following grades: 4 credit hour A, 3
credit hour B, 1 credit hour A, 1 credit hour B, 1
credit hour C. Find her GPA.
4 Cr. Hr. A …      4x4=        16 points
3 Cr. Hr. B …      3x3=         9 points
1 Cr. Hr. A …      1x4=         4 points
1 Cr. Hr. B …      1x3=         3 points
1 Cr. Hr. C …      1x2=         2 points
10 Cr. Hr.                     34 points

34 points ÷ 10 Cr. Hr = 3.4 GPA
Review the things that you need
to review.

Study the things that you need
to spend more time on.