3. Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-7099 70-801019 80-9012 90-1003 To find the approximate mean of the data from the frequency table. First, identify the class marks (average of upper and lower limit for each interval). Put the class marks in L1 under STAT, EDIT. Put the frequency of each interval under L2 under STAT, EDIT. Next, go to STAT, CALC, 1-Var STATS, L1, L2, enter Approximate Mean is 77.6 The actual mean from original data was 77.8

4. Estimate the Mean for each frequency distribution. AgesFrequency 10-20 20-30 30-40 40-50 50-60 4 7 5 2 2 ScoresFrequency 1-3 3-5 5-7 7-9 9-11 1 1 5 8 9 HeightFrequency 60-65 65-70 70-75 75-80 80-85 6 6 4 1 1

5. Frequency Distribution ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-7099 70-801019 80-9012 90-1003 ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-7099 70-801019 80-9012 90-1003 The median class is the class or interval that contains the median. Since we know that the median is the middle point, with 50% of the data lying below it, then we just need to find the class/interval where the 50 th percentile would occur. Using the cumulative relative frequencies we can easily see where the 50 th percentile would lie. Median Class is 70-80. Estimating the median is done using a proportion, the median class (70-80) and the class just before the median class (60-70) and their cumulative relative frequencies, (.56 and.26 respectively). Remember, the median has a cumulative relative frequency of.5. Median is between 70 & 80

6. AgesFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 10-20 20-30 30-40 40-50 50-60 4 7 5 2 2 4 16 11 18 20 Find the Median Class and estimate the Median for each frequency distribution. Median Class is 20-30.

7. Find the Median Class and estimate the Median for each frequency distribution. Median Class is 7-9. ScoresFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 1-3 3-5 5-7 7-9 9-11 1 1 5 8 9 1 2 7 15 24

8. HeightFrequencyRelative Frequency Cumulative Frequency Cumulative Relative Frequency 60-65 65-70 70-75 75-80 80-85 6 6 4 1 1 6 12 16 18 17 Find the Median Class and estimate the Median for each frequency distribution. Median Class is 65-70.