Question

The heights, in cm, of 50 students are recorded and used to draw the cumulative frequency graph shown below. Use the graph to estimate the number of these students with a height above 150 cm.

Answer 1

Therefore, approximately 10 students in the class have heights above 150 cm.

Based on the image, here's how we can find the answer:

1. Locate the 150 cm mark on the horizontal axis. The tick marks on the axis show increments of 5 cm. Therefore, 150 cm corresponds to the third major tick mark after the labeled 130 cm.

2. Follow the vertical line up from the 150 cm mark. This line intersects the graph's curve slightly above the fourth major tick mark on the vertical axis.

3. Read the cumulative frequency value at the intersection point. The fourth major tick mark on the vertical axis corresponds to a cumulative frequency of 40

4. Calculate the number of students above 150 cm. To find this, subtract the cumulative frequency at 150 cm from the total number of students:

Number of students above 150 cm = 50 (total students) - 40 (cumulative frequency at 150 cm)

Number of students above 150 cm = 10

Note: This is an estimate based on the graph's scale. The actual number of students could be slightly higher or lower due to the inherent limitations of reading values from a graph.

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