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DEV 085 Unit 4 Notes Measurement Statistics.ppt

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DEV 085 Unit 4 Notes Measurement Statistics.ppt Powered By Docstoc
					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:
Reading Graphs:
Circle and Bar Graphs
Look at the header
  •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
     asks
            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
    added together
               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
same…that is your value
  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
       Grade Point Average:
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
       Grade Point Average:
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
       Grade Point Average:
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
   Grade Point Average Practice:
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
   Grade Point Average Practice:
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.

Ask questions about things you
don’t understand.

PRACTICE…PRACTICE…PRACTICE

				
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