1. FREQUENCY DISTRIBUTIONS FREQUENCY DISTRIBUTIONS

2. FREQUENCY DISTRIBUTIONS   Overview.   Frequency Distribution Tables.   Frequency Distribution Graphs.   The shape of a Frequency Distribution.

3. Overview TABLE 2.1 DAY 2 SCORES DAY 1 SCORES 72736968 656872 73 6670 67687270 71747174 70676872 69757077 74687165 727472 71 6973

4. Overview   DEFINTION:   A frequency distribution is an organized tabulation of the number of individuals Located in each category on the scale of measurement.

5. Frequency Distribution Tables FX 210 59 78 37 26 05 14

6. Obtaining ∑ x from a Frequency Distribution Table.   ƒXƒX ƒ X (The two 10s total 20 ) 20210 (The five 9s total 45) 4559 (The seven 8s total 56) 5678 (The three 7s total 21) 2137 (The two 6s total 12) 1226 (There are no 5s ) 005 ( The one 4 totals 4) 414 ∑ ƒ X=158

7. Proportion and percentages   Proportion = р=ƒ / Ν   Percentage = р(100) = ƒ / Ν (100)

8. Proportion and percentages   % = P(100) P = ƒ /N ƒ X 10%2/20=0,10210 25%5/20=0,2559 35%7/20=0,3578 15%3/20=0,1537 10%2/20=0,1026 0%0/20=005 5%1/20=0,0514

9. Histograms   DIFINITION:   For a histograms vertical bars are drawn above each score so that   1-The height of the bar correspond to the frequency.   2-The width of the bar extends to the real limits of the score.

10. Histograms   An example of a frequency distribution histogram.

11. Bar Graphs   For a bar graphs, a vertical bar is draw above each score ( or category ) so that   1- The height of the bar correspond to frequency.   2- There is a space separating each bar from the next.

12. Bar Graphs   An example of a frequency distribution Bar graph.

13. Frequency Distribution Polygons   DIFINTION:   In a frequency distribution polygon, a single dot is draw above score so that   The dot is center above the score.   The height ( vertical position ) of the dot corresponds to the frequency.

14. Frequency Distribution Polygons   An example of a frequency distribution polygons.

15. The shape of a Frequency Distribution   DEFINTION:   In a symmetrical distribution, it is possible to draw a vertical line through the middle so that one side of the distribution is a mirror image of the other.   In a skewed distribution, the scores tend to pile up toward one end of scale and taper off gradually at the other end

16. The shape of a Frequency Distribution  