1. By the end of this lesson you will be able to explain/calculate the following: 1. Stem-and-Leaf Plot 2. Back-to-Back Stem-and-Leaf Plots

2. A stem-and-leaf plot, or stem plot, can be used if the data are initially recorded as a string (or list) of numbers. Data in stem-and-leaf plots are made up of two components; a stem and a leaf. 124 Stem-and-Leaf Plots

3. A stem-and-leaf plot, or stem plot, can be used if the data are initially recorded as a string (or list) of numbers. Data in stem-and-leaf plots are made up of two components; a stem and a leaf. 12412 Stem-and-Leaf Plots

4. A stem-and-leaf plot, or stem plot, can be used if the data are initially recorded as a string (or list) of numbers. Data in stem-and-leaf plots are made up of two components; a stem and a leaf. 12412 Stem-and-Leaf Plots

5. A stem-and-leaf plot, or stem plot, can be used if the data are initially recorded as a string (or list) of numbers. Data in stem-and-leaf plots are made up of two components; a stem and a leaf. 12412 4 Stem-and-Leaf Plots

6. A stem-and-leaf plot, or stem plot, can be used if the data are initially recorded as a string (or list) of numbers. Data in stem-and-leaf plots are made up of two components; a stem and a leaf. 12412 4 The final digit of a particular number is the leaf, the previous digit(s) form the stem. Stem-and-Leaf Plots

7. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. The first thing to do is to find the maximum and minimum values. MIN.MAX. The stem and leaf plot will start at 118 and finish at 143. Worked Example

8. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. MIN.MAX. Worked Example

9. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. MIN.MAX. We will put in the first 5 numbers together – and you will then complete the rest. Worked Example

10. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Worked Example

11. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Worked Example

12. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Worked Example

13. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Worked Example

14. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Worked Example

15. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. Now complete the rest. Worked Example

16. The heights of 30 students (to the nearest cm) were measured and recorded as follows: 125, 143, 119, 136, 127, 131, 139, 122, 140, 118, 120, 123, 132, 134, 127, 129, 124, 131, 138, 133, 122, 128, 130, 135, 141, 139, 121, 138, 131, 126 Represent the data on a stem-and-leaf plot. We now must re-draw this and put the leaf numbers in order from smallest to largest. Do this now. Worked Example

20. Back-to-Back Stem-and-Leaf Plots When two sets of data are related, we can present them as back-to-back stem-and-leaf plots The youngest male attending the ten-pin bowling centre is 15 and the oldest 65; the youngest and oldest females attending the tenpin bowling centre are 16 and 60 respectively. Ten-pin bowling is most popular for men in their teens and 20s, and for females in their 20s and 30s.