Name: Date: THE AVERAGES OF DATA DISTRIBUTIONS E.Q.#1: How do we compute the averages of mean, median and mode?

 There are three different basketball Team Game 1 Game 2 Game 3 Game 4 Game 5 teams and each has played five games. The table shows each team's Jaguars 67 87 54 99 78 score from each of its games. Wolves 85 90 44 80 46 Lions 32 101 65 88 55

Suppose you wish to join the one team that is doing the best so far. If you rank each team by their mean scores, A which team would you join? Show work. Jaguars Wolves Lions Descending Mean Rank 1. ______2. ______3. ______

B If you rank each team by their median scores, which team would you join? Show work. Jaguars Wolves Lions Descending Median Rank 1. ______2. ______3. ______

Pretend you are the coach of the Lions and you were being interviewed about your team for the local C newspaper. Would it be better for you to report your mean score or your median score? Explain.

 The table displays the Jan Feb Ma Apr Ma Jun Jul Au Sep Oct No Dec amount of times each John 1 3 r2 5 2y 3e 1y g4 t2 3 v2 1 person went to the movie theatre in each Mary 1 2 1 1 1 3 3 2 2 4 1 2 month. Brian 1 3 2 2 1 4 5 3 2 2 1 3 Kelly 2 2 1 1 3 2 4 1 3 2 3 2

A By comparing modes, which person went to the movies the least per month? Show work. John Mary Brian Kelley Ascending Mode Rank 1. ______2. ______3. ______4. ______

B By comparing medians, which person went to the movies the most per month? Show work.

John Descending Median Rank Mary 1. ______2. ______Brian 3. ______Kelley 4. ______C Rank the friends in order of most movies seen to least movies seen by comparing their means. John Mary Brian Kelley Descending Mean Rank 1. ______2. ______3. ______4. ______Name: Date: THE AVERAGES OF DATA DISTRIBUTIONS

E.Q.#2: How do we complete a data distribution to satisfy a requested mean? For #1-8, solve each problem by completing the data distribution that satisfies the requested mean.  A student’s test scores are 95, 82, 76, and 88. What  A family must drive an average of 250 miles per day score must the student get on the fifth test in order to complete their vacation on time. On the first five to achieve an average of 84 on all five tests? days, they travel 220, 300, 210, 275 and 240 miles. How many miles must they travel on the sixth day in order to finish their vacation on time?

 A bowler must keep an average of at least 280 in  On seven consecutive days, a runner burns 204, 206, order to complete at a professional level. In the first 203, 205, 202, 192, and 191 calories on a treadmill. six games, this bowler scores 271, 286, 282, 278, How many calories must the runner burn the next 283 and 276. What score must the bowler earn in day on the treadmill in order to achieve an average of the 200 calories per day? next game?

 Shade a cell on the histogram so that the mean is 4.  Shade a cell on the histogram so that the mean is 2. Show work. Show work.

 Add a number on the stem and leaf plot so that the  Add a number on the stem and leaf plot so that the mean is 30. Show work. mean is 90. Show work.