Math Problem Statement

the following data shows the number of children in a survey of 15 families. number of children : 2, 1, 3, 2, 1, 2, 3, 4, 2, 5, 1, 2, 4, 1, 6. Use the information to draw a dot plot showing this data

Solution

as plt

Data

number_of_children = [2, 1, 3, 2, 1, 2, 3, 4, 2, 5, 1, 2, 4, 1, 6]

Create the dot plot

plt.figure(figsize=(10, 5)) plt.scatter(number_of_children, [1] * len(number_of_children), alpha=0.7, color='blue', s=100) plt.title('Dot Plot of Number of Children in 15 Families', fontsize=14) plt.xlabel('Number of Children', fontsize=12) plt.xticks(range(1, 7)) # Showing tick marks for all possible numbers of children plt.yticks([]) # Remove y-axis as it's not needed in a dot plot plt.grid(axis='x', linestyle='--', alpha=0.5) plt.tight_layout() pltThe dot plot above displays the number of children in each family from the given data. Each dot represents a family.

Would you like further clarification or analysis based on this data? Here are some related questions to explore:

  1. What is the mean number of children per family in this survey?
  2. How does the mode of the data compare to other measures of central tendency?
  3. Can we identify the range of the number of children in these families?
  4. How would a frequency distribution table look for this data?
  5. Could this data be visualized using other types of plots, such as a histogram?

Tip: Dot plots are particularly useful for visualizing small data sets and identifying clusters

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Math Problem Analysis

Mathematical Concepts

Data Visualization
Dot Plots
Statistics

Formulas

None required for drawing a dot plot

Theorems

None explicitly used

Suitable Grade Level

Grades 6-8