2.7 Exercise 15

Use the following information to answer the next two exercises. The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
29, 37, 38, 40, 58, 67, 68, 69, 76, 86, 87, 95, 96, 96, 99, 106, 112, 127, 145, 150

Find the standard deviation for the following frequency tables using the formula. Check the calculations with the TI 83/84.

1. Grade	Frequency
   49.5–59.5	2
   59.5–69.5	3
   69.5–79.5	8
   79.5–89.5	12
   89.5–99.5	5

2. Daily Low Temperature	Frequency
   49.5–59.5	53
   59.5–69.5	32
   69.5–79.5	15
   79.5–89.5	1
   89.5–99.5	0

3. Points per Game	Frequency
   49.5–59.5	14
   59.5–69.5	32
   69.5–79.5	15
   79.5–89.5	23
   89.5–99.5	2