Question

construct a back - to - back stemplot showing life expectancy by gender. use ages in years and split stems. male: 74.3, 56.5, 62.8, 71.2, 69.5, 64.6, 64.8, 51.2. female: 75.1, 60.2, 70.3, 79.1, 75.2, 70.8, 67.5, 54.8. the data ranges from 51.2 to 79.1. how many stems will be in the split - stem stemplot?

Explanation:

Step1: Identify the range of data

The data ranges from 51.2 to 79.1.

Step2: Determine stem - splitting intervals

Since we are splitting stems, we consider the tens - digit as the stem. The possible tens - digits are 5, 6, 7. For each of these tens - digits, we will split the stem into two parts: one for values from .0 - .4 and another for values from .5 - .9.

Step3: Count the number of stems

For the tens - digit 5: There are values 51.2 and 54.8, so 2 split stems (50 - 54 and 55 - 59).
For the tens - digit 6: There are values 62.8, 64.6, 64.8, so 2 split stems (60 - 64 and 65 - 69).
For the tens - digit 7: There are values 70.3, 71.2, 74.3, 75.1, 75.2, 79.1, so 2 split stems (70 - 74 and 75 - 79).
The total number of stems is 6.

Answer:

6