Math Problem Statement

A group of students measured the lengths of their shoes. The lengths are listed in the table. Use the table to locate the incorrect data in the dot plot. Whose data point is missing from the dot plot? Students Kat Ben Lane Dan Mark Alex Shoe Length (in inches) 8 1 2 7 1 2 7 1 4 7 2 8 8 7 6 8

Length of Students' Shoes 7 7 1 8 7 2 8 7 3 8 7 4 8 7 5 8 7 6 8 7 7 8 8 8 1 8 8 2 8 8 3 8 8 4 8 8 5 8 8 6 8 8 7 8 9 Length (in inches) = 1 student

Kat

Ben

Lane

Dan

Mark

Alex Nice! Which data point does not belong on the dot plot? Students Kat Ben Lane Dan Mark Alex Shoe Length (in inches) 8 1 2 7 1 2 7 1 4 7 2 8 8 7 6 8

Length of Students' Shoes 7 7 1 8 7 2 8 7 3 8 7 4 8 7 5 8 7 6 8 7 7 8 8 8 1 8 8 2 8 8 3 8 8 4 8 8 5 8 8 6 8 8 7 8 9 Length (in inches) = 1 student

inches

Solution

To solve this, let's carefully examine the shoe lengths provided by each student and compare them to the dot plot's marked values.

Step 1: Analyzing the Table

The shoe lengths of each student are as follows:

  • Kat: 8.5 inches
  • Ben: 7.5 inches
  • Lane: 7.25 inches
  • Dan: 7.75 inches
  • Mark: 8 inches
  • Alex: 7.6 inches

Step 2: Identifying Data Points on the Dot Plot

Now, we check which of these values is missing or incorrectly represented on the dot plot. Without seeing the actual dot plot, we assume it includes all values from 7.0 to 9.0 inches (since these are the common intervals).

Step 3: Locating the Missing and Incorrect Data

  1. Each student's shoe length should be represented by a dot.
  2. If any length above isn't marked on the dot plot, it is the missing data point.
  3. If any lengths that are marked don't match the actual measurements, that would be incorrect data.

Findings:

  1. Check each student's shoe length individually against the dot plot intervals to identify the missing point.
  2. Verify if any value appears on the dot plot but is absent in the table.

Please let me know if you can provide a clearer view of the dot plot or further details, and I’d be happy to specify the missing or incorrect data point based on that.

Would you like a detailed breakdown of the comparison process?


Follow-Up Questions:

  1. What does a typical dot plot reveal about the distribution of data points?
  2. How can we identify outliers using dot plots?
  3. What are the advantages of using a dot plot for small datasets?
  4. How would the analysis differ if we used a box plot instead?
  5. What are common errors to watch for when reading or creating dot plots?

Tip: Always cross-reference data in tables with graphs to spot inconsistencies.

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Math Problem Analysis

Mathematical Concepts

Data Analysis
Dot Plot
Measurement

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8