Box and whisker pp
- 1. Sponge Find the median and mean of the following data set. 25, 5, 10, 6 , 4, 4
- 2. Activator Cat Box and Whisker Plot Using your imagination, how are these pictures similar? Use the name of the graph as a hint.
- 3. BOX AND WHISKER PLOT
- 4. Box and Whisker Plot Draw a hand on your paper palm facing upward.
- 5. Box and Whisker Plot Draw a hand on your paper palm facing upward. On each finger type the following words: Lower Extreme 1st Quartile Median 3rd Quartile Upper Extreme
- 6. Box and Whisker Plot
- 7. Lower Extreme (Minimum) The lower extreme is the number with the lowest value in the data set. Ex. 2, 4, 6, 8, 10 , 12,14 2 has the lowest value, therefore, it is the lower extreme.
- 8. 1st Quartile (Lower Quartile) The 1st quartile is where the 1st 25% of the data falls. There are several steps to find the first quartile. 1. Find the median of the data set. 2. Take all of the numbers to the left of the median and create a new set. (Do not include the median.) 3. Find the median of the new set. Ex. 2, 4, 6, 8, 10 , 12,14 The median is 8. I will create a new set using all of the numbers to the left of 8 (2, 4, 6). I will now find the median of the new set. The median of (2, 4, 6) is 4. Therefore, the 1st quartile is 4.
- 9. Median The median is the middle of the data set. How do we find the median? Ex. 2, 4, 6, 8, 10 , 12,14 The median is 8.
- 10. 3rd Quartile( Upper Quartile) The 3rd quartile is where the last 25% of the data falls. There are several steps to find the 3rd quartile. 1. Find the median of the data set. 2. Take all of the numbers to the right of the median and create a new set. (Do not include the median.) 3. Find the median of the new set. Ex. 2, 4, 6, 8, 10 , 12,14 The median is 8. I will create a new set using all of the numbers to the right of 8 (10, 12,14). I will now find the median of the new set. The median of (10, 12, 14) is 12. Therefore, the 3rd quartile is 12.
- 11. Upper Extreme (Maximum) The upper extreme is the number with the highest value in the data set. Ex. 2, 4, 6, 8, 10 , 12,14 14 has the highest value, therefore, it is the upper extreme.
- 12. Box and Whisker Plot
- 13. Interquartile Range The interquartile range is the distance from the 1st quartile to the 3rd quartile. We find the interquartile range by subtracting the 1st quartile from the 3rd quartile. Ex. 2, 4, 6, 8, 10, 12, 14 As previously solved, the 1st quartile is 4 and the 3rd quartile is 12. 12 – 4 = 8. Therefore the interquartile range is 8.
- 14. Let’s Practice
- 15. Closing Exit Ticket You can write on the paper. Please turn in once you have completed the exit ticket.