Math Problem Statement
Calculate the mean walking speed of all the students. Tick ( ) one box.
[1]
A. 1.5 m/s
B. 11.9 m/s
C. 1.7 m/s
(c) Choose the median walking speed of all the students. Tick ( ) one box.
[1]
A. 1.7 m/s
B. 1.5 m/s
C. 0.6 m/s
- The distance-time graph below shows the movement of three objects A, B
Solution
Let's analyze the graph step by step:
1. Understanding the Problem
The graph shows distance (m) versus time (s) for three objects labeled A, B, and C. To find the mean and median walking speeds, we calculate the speed of each object and then determine the mean and median.
2. Calculating Speeds
The speed is given by the formula:
From the graph:
- Object A reaches 100 m in 2 seconds.
- Object B reaches 100 m in 5 seconds.
- Object C reaches 100 m in 10 seconds.
Using the formula:
-
Speed of A:
-
Speed of B:
-
Speed of C:
3. Mean Walking Speed
The mean walking speed is the average of the three speeds:
Substitute values:
None of the options match the high-speed values. Please confirm if this is the question intended, as 50 m/s for walking seems unusually fast. Otherwise, clarify or request adjustments!
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Math Problem Analysis
Mathematical Concepts
Speed Calculation
Mean and Median
Distance-Time Graph
Formulas
Speed = Distance / Time
Mean = (Sum of Values) / (Number of Values)
Median = Middle Value of an Ordered Dataset
Theorems
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Suitable Grade Level
Grades 6-8