Ogives slides
- 1. OGIVES
- 3. Cumulative histogram also known as ogives , are graph that can be used to determine how many data values lie above or below a particular value in a data set .
- 5. OGIVE
- 6. How to plot an ogive curve?
- 7. Following steps are necessary to plot less than type ogive curve. 1. Start from the upper limit of the class intervals and then add class frequency to the cumulative frequency distribution. 2. Take upper in the x-axis direction cumulative frequencies along the y- axis direction.
- 8. 3.Plot the points ( x,y ) , where is the upper limit of the class and y is the corresponding cumulative frequency. 4.Join the points by a smooth curve.
- 9. Following steps are necessary to plot a more than type ogive curve ; 1. Starts from the lower limit of the class intervals and total frequency is subtracted from the frequency to get the cumulative frequency distribution . 2. In the graph , consider the lower limit x - axis direction and cumulative frequencies along y - axis direction .
- 10. 3. Plot the points x, y, where is the upper limit of the class and y is the corresponding cumulative frequency. 4. Joins the points by a smooth curve.
- 13. Ogive can •Visually approximate. •Summarize a large data set in visual form.
- 14. Delineate each interval in the frequency distribution. Clarify rates of change between classes better than other graph. Provide visual check of accuracy or reasonableness of calculations.
- 15. •Be easily understood due to widespread use in business and media. •Show the number of proportion or of data point above / below a particular value. •Become more smooth as data points or classes added.
- 17. Ogive can: •Fail to reflect all data points in a data set. •Be somewhat complicated to prepare. •Reveal little about central tendency, dispersion , skew or kurtosis.
- 18. • Often requires additional written or written or verbal explanation. •Be inadequate to describe to attribute, behaviour, or condition of interest. •Fail to reveal key assumptions.
- 20. For the data given below , construct a less than cumulative frequency table and plot its ogive . MAR KS 0-10 10- 20 20- 30 30- 40 40- 50 50- 60 60- 70 70- 80 80- 90 90- 100 FREQ UENC Y 3 5 6 7 8 9 10 12 6 4
- 22. MARKS FREQUENCY LESS THAN CUMULATIVE FREQUENCY 0-10 3 3 10-20 5 8 20-30 6 14 30-40 7 21 40-50 8 29 50-60 9 38 60-70 10 48 70-80 12 60 80-90 6 66 90-100 4 70
- 24. MA RKS 0-5 5-10 10 -15 15- 20 20- 25 25- 30 30- 35 35- 40 40- 45 45- 50 FRE QUE NCY 3 5 7 8 10 11 14 19 15 13 For the data give below, construct more than cumulative frequency and plot its ogive
- 26. MAR KS FREQU ENCY CUMULATIVE FREQUENCY 0-5 3 95 5-10 5 95 - 3 = 92 10-15 7 92 - 5 = 87 15-20 8 87 - 7 = 80 20-25 10 80 - 8 = 72 25-30 11 72 - 10 = 62 30-35 14 62 - 11 = 51 35-40 19 51 - 14 = 37 40-45 15 37 - 19 = 18 45-50 13 18 - 15 = 3
Editor's Notes
- #4: To plot an ogive we need class boundaries and the cumulative frequencies. For grouped data ,ogive is formed by plotting the cumulative frequency against the upper boundary of the class. For ungrouped data cumulative frequency is plotted on the y-axis against the data which is on the x- axis.
- #6: An ogive is a line graph where the bases are the class boundaries and the heights are the <cf for the less than ogive and >cf for the greater than ogive.