Math Problem Statement

Given below is a data set:

36 21 46 29 23 22 27 26 13 17 11 23 13 21 35 21 12 26 18 19 28 32 46 46 34 37 21 28 18 23 Examine the data above by reviewing the stem-and-leaf plot. Here is the start of the plot. What are the missing values?

Solution

To help with the stem-and-leaf plot, let's break down the data you provided.

The data set is:

  • 36, 21, 46, 29, 23
  • 22, 27, 26, 13, 17
  • 11, 23, 13, 21, 35
  • 21, 12, 26, 18, 19
  • 28, 32, 46, 46, 34
  • 37, 21, 28, 18, 23

Step 1: Sort the data

Let's sort the data in increasing order: 11, 12, 13, 13, 17, 18, 18, 19, 21, 21, 21, 22, 23, 23, 23, 26, 26, 26, 27, 28, 28, 29, 32, 34, 35, 36, 37, 46, 46

Step 2: Create the stem-and-leaf plot

The "stem" represents the tens digit, and the "leaf" represents the ones digit. Here's how the sorted data breaks down:

  • 1 | 1, 2, 3, 3, 7, 8, 8, 9
  • 2 | 1, 1, 1, 2, 3, 3, 3
  • 3 | 2, 4, 5, 6, 7
  • 4 | 6, 6

Step 3: Compare with the start of the plot

If you compare this to the start of the stem-and-leaf plot you have, the missing values can be inferred by checking which values have not been accounted for in the plot.

Would you like me to analyze this plot further or help with a specific step of the process? Let me know if you need any additional details or explanations!


Here are some related questions to expand on this topic:

  1. What are the advantages of using a stem-and-leaf plot compared to other graphical representations of data?
  2. How do you calculate the mean and median of a data set using a stem-and-leaf plot?
  3. What are the key characteristics of a data distribution that can be seen in a stem-and-leaf plot?
  4. How do you construct a back-to-back stem-and-leaf plot, and when is it useful?
  5. What other methods could be used to visualize and interpret this data set?

Tip: Always check the data for outliers before creating a plot, as outliers can skew your representation and understanding of the data!

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Math Problem Analysis

Mathematical Concepts

Data Analysis
Stem-and-Leaf Plot
Sorting Data

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8