THE NATURE OF
SCIENCE
STATISTICS
STATISTICS: COLLECTING,
CHI-SQUARE
CHI-SQUARE: A TEST USED IN
STATISTICS TO COMPARE
OBSERVED DATA WITH DATA WE WOULD EXPECT TO OBTAIN
CHI-SQUARE
FORMULA:
X2 = (O-E)2 / E
CHI-SQUARE EQUALS OBSERVED
CHI-SQUARE
ARE MY RESULTS, THE
DIFFERENCES BETWEEN THE EXPECTED RESULTS AND THE
CHI-SQUARE
CHI-SQUARE IS TESTING THE NULL
HYPOTHESIS: THERE IS NO SIGNIFICANT DIFFERENCE
BETWEEN THE EXPECTED AND OBSERVED RESULTS.
PERFORM A M&M CHI-SQUARE
STATISTICS
WE HAVE THE FOLLOWING DATA: 2, 6, 3, 2, 5, 9, AND 8
WHAT IS OUR SAMPLE SIZE? 7
WHAT IS OUR AVERAGE/MEAN
ADD THE NUMBER = 35 AND DIVIDE
STATISTICS
STANDARD DEVIATION IS THE MEAN
OF THE MEAN.
MOST DATA ARE CLOSE TO THE
AVERAGE, FEW TEND TO BE IN ONE EXTREME OR THE OTHER. MOST WILL HAVE A BELL CURVE SHAPE.
THE STANDARD DEVIATION TELLS
YOU HOW TIGHTLY ALL THE DATA
STANDARD DEVIATION
LOOK AT THE FOLLOWING DATA:
2, 4, 4, 4, 5, 5, 7, 9
HOW DO WE CALCULATE THE MEAN?
n=8 THIS IS OUR SAMPLE
THE SUM OF THE DATA IS 40 DIVIDED BY THE SAMPLE SIZE OF 8.
STANDARD DEVIATION
FIND THE DIFFERENCE OF EACH DATA POINT
FROM THE MEAN; SQUARE EACH RESULT:
(2-5)2 = 9, (4-5)2 = 1, (4-5)2 = 1, (4-5)2 = 1,
(5-5)2 =0, (5-5)2 = 0, (7-5)2 = 4, and (9-5)2 = 16
CALCULATE THE MEAN OF THESE VALUES:
9+1+1+1+0+0+4+16 / 8 = 4
METRIC SYSTEM
THERE ARE FIVE MEASUREMENTS
TO KNOW:
1. LENGTH 2. MASS
3. VOLUME 4. DENSITY
METRIC SYSTEM
LENGTH:
MOST OF THE MEASUREMENTS
HAVE WHAT WE CALL A BASIC UNIT. IF YOU KNOW THE BASIC UNITS YOU CAN CONVERT EASIER.
KNOW THAT THE BASIC UNIT FOR
METRIC SYSTEM
KNOW THAT 1 METER EQUALS 39.4
INCHES.
EXAMPLE: 6 FOOT 1 INCH TO METERS.
FIRST, CHANGE FEET TO INCHES.
6X12 PLUS 1 EQUALS 73 INCHES.
DIVIDE 73 BY 39.4 INCHES AND IT
METRIC SYSTEM
FOR OBJECTS SMALLER THAN A
METER WE USE THE CENTIMETER.
KNOW THAT 1 METER EQUALS 100
CENTIMETERS
METERS X 100 EQUALS
METRIC SYSTEM
FOR MEASURING LONG DISTANCES WE
USE THE KILOMETER. KILO MEANS 1,000.
KNOW THAT 1,000 m EQUALS 1 km
TO CONVERT (m) TO (km) DIVIDE BY
1000.
1.85 m TO km EQUALS 1.85/1000 WHICH
METRIC
VOLUME:
THE BASIC UNIT FOR VOLUME IS
THE LITER DESIGNATED BY L.
POINT OF REFERENCE FOR LITERS:
METRIC
TO MEASURE VOLUMES SMALLER
THAN A L WE USE MILLILITERS OR (ml)
1L = 1000 ml
METRIC SYSTEM
MASS:
THE BASIC UNIT FOR MASS IS THE
KILOGRAM OR Kg.
THE POINT OF REFERENCE IS 1Kg =
METRIC SYSTEM
FOR MEASURING THE MASS OF
SMALLER OBJECTS WE USE GRAMS SIGNIFIED BY A g.
1Kg = 1000g
KILOGRAMS TO GRAMS: MULTIPLY
METRIC SYSTEM
CONVERT 250 POUNDS TO Kg.
250/2.2 EQUALS 113.6 kg.
CHANGE 113.6 kg TO GRAMS:
METRIC SYSTEM
DENSITY:
THE FORMULA FOR DENSITY IS
D=M/V.
PROBLEM: 1 Kg OBJECT, SV 500 ML
METRIC SYSTEM
TEMPERATURE:
TEMP IS MEASURED USING THE
METRIC SYSTEM
F TO C: F – 32 X 5/9 = C C TO F C X 9/5 + 32 = F
CONVERT 100 DEGREES
FARENHEIGHT TO CELSIUS
CONVERT 40 DEGREES CELSIUS TO
METRIC SYSTEM
100-32 EQUALS 68 TIMES 5/9 WHICH
IS .55 EQUALS 37.4 DEGREES CELSIUS.
40 TIMES 9/5 WHICH IS 1.8 EQUALS
METRIC SYSTEM
1. CHANGE 7 FEET INTO METERS 2. CHANGE 7 FEET INTO CM
3. CHANGE 7 FEET INTO KM
2.13 m 213 cm
METRIC
CHANGE 200 POUNDS TO kg
90.9 kg
CHANGE THAT NUMBER TO g
METRIC SYSTEM
WHAT IS THE DENSITY OF A 2 kg ROCK
METRIC SYSTEM
CHANGE 120 DEGREES F TO C
120 – 32 X .55 EQUALS 48.4
DEGREES C
CHANGE 60 DEGREES C TO F
SIGNIFICANT FIGURES
When adding or subtracting numbers, count
the NUMBER OF DECIMAL PLACES to determine the number of significant figures. The answer cannot CONTAIN MORE
PLACES AFTER THE DECIMAL POINT THAN THE SMALLEST NUMBER OF
DECIMAL PLACES in the numbers being added or subtracted.
THE NATURE OF SCIENCE
EMPIRICAL: KNOWLEDGE
ACQUIRED BY OBSERVATION OR EXPERIMENTATION.
QUALITATIVE: DESCRIPTIONS OR
DISTINCTIONS BASED ON A QUALITY OR CHARACTERISTIC RATHER THAN A QUANTITY OR MEASURED VALUE.
QUANTITATIVE: STATISTICAL,
SCIENTIFIC METHOD
Scientists use the scientific
SCIENTIFIC METHOD
There are six major steps:
1. State the problem 2. Form a Hypothesis 3. Gather data
4. Perform experiment
SM
1. State the problem
The problem is what you want to know. The problem is stated in the form of a
SM
2)Form a hypothesis:
The hypothesis is what you think is going to happen.
SM
3. Gather data:
Find out all there is to know about the topic, educate yourself.
4. Plan and perform an experiment
5. Record and analyze your results
SM
YOU NEED TO TEST YOUR
HYPOTHESIS BY DOING A
CONTROLLED EXPERIMENT. THIS MEANS THAT ALL VARIABLES THAT CAN EFFECT YOUR EXPERIMENT REMAIN CONSTANT OR
SM
WHEN GRAPHING:
THE INDEPENDENT VARIABLE GOES
ON THE X AXIS.
THE INDEPENDENT VARIABLE IS
WHAT YOU HAVE CONTROL OVER.
THE DEPENDENT VARIABLE GOES
ON THE Y AXIS.(LITTLE OR NO
THE NATURE OF SCIENCE
CONCENTRATE ON GETTING
ACCURATE DATA. SUCH EVIDENCE IS OBTAINED BY OBSERVATIONS
THE NATURE OF SCIENCE
THE PROCESS OF FORMULATING
AND TESTING HYPOTHESES IS ONE OF THE CORE ACTIVITIES OF
THE NATURE OF SCIENCE
THE ESSENCE OF SCIENCE IS
VALIDATION BY OBSERVATION.
WHEN FACED WITH A CLAIM THAT
SOMETHING IS TRUE, RESPOND BY ASKING WHAT EVIDENCE
THE NATURE OF SCIENCE
NO GOOD HYPOTHESIS CAN
BE DEVELOPED WITHOUT
RESEARCH INTO THE
THE NATURE OF SCIENCE
THE SCIENTIFIC METHOD IS A
PROCESS OF USING CRITICAL THINKING.
THINGS THAT ARE NOT TESTABLE
IN SOME SCIENTIFIC OR
THE NATURE OF SCIENCE
ONCE THE HYPOTHESIS HAS BEEN
ESTABLISHED, IT IS TIME TO TEST IT.
AN EXPERIMENT IS DESIGNED TO