The following scatterplot shows the relationship between the heights (m) and weights (kg) of a sample of seven people.What is the weight when the height equals 1.86 m?

Question

BlackTom AI · Accepted Answer

Locate the point with x = 1.86 m on the horizontal axis and read its y-coordinate: that y-value is the weight in kg.

1. Relevant knowledge and concepts
- A scatterplot pairs x-values (height, in metres) with y-values (weight, in kilograms). 
- To read a scatterplot you: (a) find the given x on the horizontal axis, (b) identify the plotted point at that x, and (c) read the corresponding y by projecting horizontally to the vertical axis. 
- Understand the axis scales: the vertical axis is labelled 60, 65, 70, 75, 80, … so the small grid lines between these labels represent 1 kg increments.

2. Step-by-step reasoning
- Step 1: Find x = 1.86 m. The x-axis ticks are at 1.60, 1.65, 1.70, … 1.95. The location 1.86 m is just slightly right of the 1.85 tick. 
- Step 2: Look straight up from x = 1.86 to the plotted point nearest that x. There is a point almost exactly above 1.86. 
- Step 3: Project that point horizontally to the y-axis and count grid increments from the nearest labelled value.

3. Intermediate counting/calculation
- The point lies between the 75 and 80 kg labels. Counting the small grid squares from 75 upward: two small squares above 75 corresponds to 75 + 2 = 77 kg.

4. Why the correct answer is correct
- The plotted point at height ≈1.86 aligns with the horizontal line two small grid units above 75 kg, which is 77 kg. This direct reading from the graph yields 77 kg.

5. Why the other choices are incorrect
- 65 kg and 68 kg (options A and C) are well below the plotted point’s vertical position (they lie near the lower cluster around 1.70 m). 
- 79 kg (option B) is slightly higher than the plotted point; the point is clearly closer to 77 kg than to 79 kg.

6. Conclusion
- Reading the scatterplot gives weight = 77 kg at height 1.86 m, so the correct choice is D. 77 kg.

The following scatterplot shows the relationship between the heights (m) and weights (kg) of a sample of seven people.What is the weight when the height equals 1.86 m?Single choice

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