Line Plot (Dot Plot) Statistics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
A line plot shows the number of hours students spent on homework: 1 hour (2 dots), 1.5 hours (4 dots), 2 hours (5 dots), 2.5 hours (3 dots), 3 hours (1 dot). Find the total number of students and the total hours spent by all students combined.

Solution

  1. 1
    Step 1: Count total students: 2+4+5+3+1=152 + 4 + 5 + 3 + 1 = 15 students.
  2. 2
    Step 2: Calculate total hours: (1×2)+(1.5×4)+(2×5)+(2.5×3)+(3×1)(1 \times 2) + (1.5 \times 4) + (2 \times 5) + (2.5 \times 3) + (3 \times 1).
  3. 3
    Step 3: Compute: 2+6+10+7.5+3=28.52 + 6 + 10 + 7.5 + 3 = 28.5 hours total.

Answer

15 students; 28.5 total hours of homework.
A line plot allows you to read both individual frequencies and compute aggregate values. The total count equals the sum of all dots, and the total value is found by multiplying each value by its frequency and summing the products.

About Line Plot (Dot Plot)

A line plot (also called a dot plot) is a diagram that displays data values as marks — usually X's or dots — stacked above their corresponding values on a number line. Each mark represents one data point, making it easy to see the frequency of each value.

Learn more about Line Plot (Dot Plot) →

More Line Plot (Dot Plot) Examples

Example 1 easy

Students measured the lengths of 10 leaves (in cm): 5, 6, 5, 7, 6, 5, 8, 6, 7, 5. Create a line plot

Example 3 medium

A line plot shows the weights of 12 apples in fractions of a pound: [formula] (3 dots), [formula] (5

Example 4 hard

Two classes made line plots of their test scores. Class A: 70 (1), 75 (3), 80 (6), 85 (4), 90 (1). C

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