Standard+Deviation

Open this file with the notes for today's lesson and then save the file to your laptop.
 * __Standard Deviation __** Here is s review of Box-and-Whisker Plots to view as a class. media type="youtube" key="WyXUIOE1FcU?rel=0" height="360" width="480"

Attempt these questions after going through the notes. 1. The following sets of scores has a mean of 7. By looking at the spread of scores for each question, order the sets from the smallest standard deviation to the largest standard deviation.  2. Zoe and Rebecca have played 20 rounds of golf on the Uralla golf course. The mean and standard deviation for each was: On the basis of these results, in their next game, who is most likely to have: a) the lower score?  b) the higher score? c) the score closest to 80?  d) Who do you think is the better golfer and why? 3. Use your calculator to find the mean and standard deviation of this set of scores to 1 decimal place: 5, 3, 7, 9, 8, 8, 6, 3, 2, 1, 9, 7, 6, 6, 5, 2 4. Use your calculator to find the mean and standard deviation of this set of scores to 1 decimal place: 11, 9, 15, 16, 8, 14, 14, 10, 12, 13, 17, 17, 10, 8, 19, 11 5. Set A: 20, 60, 65, 68, 73 <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Set B: 58, 60, 65, 68, 73  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">a) Calculate the standard deviation for both sets of scores.  <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">b) What is the only difference between the sets of scores? <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">c) Do you think that the standard deviation is influence by an outlier?  <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Now try the activity from the website below.  <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Measures of Average   <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Here are some extension questions for fast finishers.   <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">6. Sets A and B are identical except for the minimum score.  <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">Set A: 15, 48, 50, 58, 60, 60, 70, 70, 75, 80, 82, 84, 85, 86  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">Set B: 48, 48, 50, 58, 60, 60, 70, 70, 75, 80, 82, 84, 85, 86  <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">a) Calculate the mean and standard deviation for both sets of scores. <span style="color: #008000; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">b) Do you think the effect of an outlier is as great when there are a larger number of scores? <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">7. For a class of 20 students, the percentage of Maths and English marks were:  <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">Maths: 72, 63, 87, 94, 55, 46, 66, 81, 62, 84, 97, 59, 75, 77, 49, 57, 68, 77, 51, 70  <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">English: 61, 39, 52, 45, 79, 59, 51, 63, 71, 75, 66, 60, 53, 48, 59, 68, 61, 72, 46, 59  <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">Calculate, for each set of marks, the mean and standard deviation correct to 1 decimal place. <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">If Brock scored 75 in Maths and 70 in English, which is the better mark, relative to the class results?
 * =  ||= Mean ||= Standard Deviation ||
 * = Zoe ||= 80 ||= 5.6 ||
 * = Rebecca ||= 80 ||= 9.2 ||