Sam conducted a survey at lunchtime to find the number of hours that students spent studying for the science test. He asked 15 different students how much time they spent studying. Sam drew a line plot of the data. His plot has a spread of 2.25 and peaks at 1.75 hours. Which graph line plot did Sam draw?

Question

A.
image 4bb73fb20191452c8796f50a825c4835


B.
image 48efc45573cc47ceb8427b828802d365


C.
image bed5bad6c0894874be0126f6985c2c41


D.
image 0a9218fd7ad349aa9729f4d60f94dfc1

Answer 1

To determine which line plot Sam drew based on the given information:

1. Peak at 1.75 hours: We need to identify which graph has the highest frequency at the value of 1.75.

2. Spread of 2.25: This means the range (the distance from the minimum to maximum value) is 2.25 hours. We can look for a line plot where the difference between the maximum and minimum values equals 2.25.

Given these two criteria, we would need to examine the graphs:

• A: Check if it peaks at 1.75 and the spread is 2.25.

• B: Check similarly for this graph.

• C: Again, check for the peak and spread.

• D: Confirm if this graph peaks at 1.75 with the correct spread.

Without visual access to these images, I can't definitively identify the correct graph. However, you can apply the criteria to visually inspect the images yourself. Look for the plot with the highest frequency (tallest column) at 1.75 and with the appropriate range calculating the difference between the maximum and minimum marks on the line plot to see if it results in a spread of 2.25.