Question
Asked Jul 13, 2019
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How would I construct a stem and leaf plot using these numbers

57 54 52 55 51 56

61 68 56 55 54 61

57 51 46 54 51 52

57 49 54 42 60 69

58 64 49 51 62 64

57 48 50 56 43 46

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Expert Answer

Step 1

Introduction:

The numbers here are all two-digit numbers. So, you can consider the digit in the ten’s place as the stem and the digit in the unit’s place as the leaf for each number.

Step 2

Procedure:

First, arrange the data in an ascending order. To make it easier, you can enter the data in a column in an EXCEL sheet, select the data and on the top right corner, select Sort & Filter > Sort Smallest to Largest. The original and sorted data are displayed row-wise:

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Original Data 57 54 5255 5156 61 68 56 5554 61 5751 4654 51 52 57 495442 60 69 58 64 4951 | 62 64 57 48 50 56 43 46 Sorted Data 42 43 46464849 49 50 51 51 51 51 52525454 5454 55 55 56 56 56 57 57 57 5758 | 6061 61 62 6464 6869

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Step 3

Procedure continued:

Note that there are 3 distinct digits in the ten’s place- 4, 5, and 6. So, there should be 3 stems. However, in that case, the stem-and-leaf plot may have aa very high n umber of observations for stem 5, as there are several numbers in the 50s; the interpretation of the plot may be difficult in this case. So, each stem can be divided into 2 stems, such that the first stem corresponds to the leaf value 0 ≤ leaf ≤ 4, and the second stem corresponds to the leaf value 5 ≤ leaf ≤ 9.

For example, there are seven 7 numbers in the 40s. Some numbers are between 40 and 44, whereas some are between 45 and 49. So, there would be 2 stems named 4. Corresponding to the first stem of 4, the leaf value would be 2, 3. Corresponding to t...

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Stem Leaf 4а 2, 3 6, 6, 8, 9,9 4b 5a 0, 1,,, , 2, 2,4, 4, 4, 4 5, 5, 6, 6, 6, 7, 7,7, 7, 8 5b ба 0, 1, ,2, 4, 4 6b 8, 9

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