How many people weigh in the range from 130 to 180 inclusive?

Answer

To find the number of people weighing between 130 and 180 pounds inclusive, we examine the provided stem-and-leaf plot. A stem-and-leaf plot displays data by splitting each value into a 'stem' (the leading digits) and a 'leaf' (the final digit). The key '10 | 1 = 101 pounds' indicates that the stem represents the hundreds and tens value, while the leaf represents the units. We count the leaves for each relevant stem: 1. Stem 13 (values 133 to 137): There are 6 leaves (3, 3, 5, 6, 6, 7). 2. Stem 14 (values 140 to 148): There are 3 leaves (0, 5, 8). 3. Stem 15 (values 150 to 159): There are 6 leaves (0, 6, 8, 8, 9, 9). 4. Stem 16 (values 160 to 168): There are 6 leaves (0, 1, 2, 2, 3, 8). 5. Stem 17 (values 172 to 178): There are 7 leaves (2, 2, 3, 4, 4, 5, 8). 6. Stem 18 (values starting at 182): The question asks for the range up to 180 inclusive. The first value in stem 18 is 182, which is greater than 180, so no values from this stem are included. Now, we sum the number of people in the valid stems: 6 (from 13) + 3 (from 14) + 6 (from 15) + 6 (from 16) + 7 (from 17) = 28. Therefore, there are 28 people in the range from 130 to 180 inclusive.