Descriptive Statistics Dot Plot Box Plot 2 Data Sets
- Dr. Jack L. Jackson II
Enter your data into cells A2 through A101 (maximum of 100 data points) for the first data set and enter the data from the second data set into cells B2 through B101. The dot plot for the data sets are displayed when the Dot Plot box is checked. The scale is automatically adjusted. Click on the various check boxes to see the following numerical and graphical statistics displayed: Box Plot Quartiles (Measures of Relative Standing: 5 values divide the data into four parts with the same amount of data in each part) (Note that there are multiple methods for computing quartiles Q1 and Q3. GeoGebra uses the same method used by TI-84 calculators. Rank the data and find the median of the lower half for Q1 and the median of the upper half for Q3. The median is not counted as part of either half when there is an odd number of data values.) Measures of Central Tendency Mean: Add up the data values and divide by the number of data values (average) Median: 1/2 of ranked data is below and 1/2 of ranked data is above the median Mode: The most often occurring data value(s) Midrange: (minimum + maximum)/2 Midquartile: (Q1 + Q3)/2 Measures of Variability Range = Maximum - Minimum IQR = Q3 - Q1 MAD = sum(absolute value of mean - data)/number of data points Standard Deviation = sum(mean - data)^2/(n-1) The data that is loaded the first time that this activity is opened is the age at time of award of the Academy Award Winners for Best Actor in a Leading Role (data set 1) and the age at time of award of the Academy Award Winners for Best Actress in a Leading Role (data set 2) (i.e. ages of Best Actor and Best Actress Oscar Winners). The data goes through awards given in 2021. Is there a gender difference in how the Academy treats men and women? Use the graphs and statistics to justify your position.