The coach of the fifth grade girls basketball team measured the height of each player. Their heights in centimeters were \( 120,122,126,130,133,147,115,106,120 \), a. Make a stem-and-leaf plot of the players" heights. b. Make a histogram of the players' heights. c. Describe the shape and spread of the data. That is, is it symmetric or non-syimmetric? Does it have more fhan one peak or only one? Is in tighily packed logather or widely spread out? d. Does this data have any outliers? Which measure of center, mean or median, would be appropriate to use to describe the bypical heighte? e. What is the typical height of a player on the team? f. What is the range of the data?

To make a stem-and-leaf plot, you'll break down the heights into stems (the leading digits) and leaves (the trailing digits). For the given heights: ``` Stem | Leaf ----- 10 | 6 5 11 | 5 20 20 12 | 0 2 6 3 13 | 0 3 14 | 7 ``` Next, for a histogram, you can set bins to display the distribution of heights. You might choose bins like 100-109, 110-119, 120-129, 130-139, and so forth. Count how many heights fall within each bin to illustrate the frequency. The shape of the data is non-symmetric with a right skew since most heights cluster at the lower end, with a few taller players pushing the mean higher. It has only one peak and is somewhat tightly packed around the lower range, though there is a noticeable gap before the taller heights begin. To check for outliers, look for data points that are significantly higher or lower than the rest of the values. In this case, the height of 106 cm stands out as it's much lower than the others. The median would be the best measure of center here, as it is less affected by outliers than the mean. The typical height of a player on the team, derived from the median, is approximately 120 cm. Lastly, to calculate the range, subtract the lowest height (106 cm) from the highest height (147 cm). Thus, the range is 41 cm. Measure those heights with care, and you'll see teams can be as unique as their players!