Students in Mrs. Curry's class recorded the amount of snowfall in January and February.

Question

Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.

A line plot named "Snowfall in January" shows a number line from one to eight inches. The number line is divided into seven equal parts. One has two dots. Three has two dots. Four has one dot. Five has two dots. Six has one dot. Seven has one dot. Eight has one dot. A second line plot named "Snowfall in February" also shows a number line from one to eight inches. The number line is divided into seven equal parts. Two has one dot. Three has one dot. Four has one dot. Six has two dots. Seven has one dot. Eight has two dots.

(1 point)
Responses

There should be 2 dots above 8 in the line plot of January's snowfall, not 1 dot.

There should be 2 dots above 8 in the line plot of January's snowfall, not 1 dot.

There should be 1 dot above 2 in the line plot of January's snowfall, not 2 dots above 1.

There should be 1 dot above 2 in the line plot of January's snowfall, not 2 dots above 1.

There should only be 7 dots in total in the line plot for February's snowfall, not 8 dots.

There should only be 7 dots in total in the line plot for February's snowfall, not 8 dots.

There should be no dot above 7 in the line plot of January's snowfall, not 1 dot.

There should be no dot above 7 in the line plot of January's snowfall, not 1 dot.

There should be fewer dots above 6 than above 2 in the plot of February's snowfall.

Answer 1

Let's go through the snowfall data for January and February to check for mistakes in the line plots.

January Snowfall Data (inches): 5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8

• Counting the occurrences:
  • 1 inch: 2 dots
  • 3 inches: 2 dots
  • 4 inches: 1 dot
  • 5 inches: 2 dots
  • 6 inches: 1 dot
  • 7 inches: 1 dot
  • 8 inches: 2 dots

From this, the line plot for January should have:

• 2 dots above 1
• 2 dots above 3
• 1 dot above 4
• 2 dots above 5
• 1 dot above 6
• 1 dot above 7
• 2 dots above 8

February Snowfall Data (inches): 8, 4, 2, 6, 6, 3, 8

• Counting the occurrences:
  • 2 inches: 1 dot
  • 3 inches: 1 dot
  • 4 inches: 1 dot
  • 6 inches: 2 dots
  • 8 inches: 2 dots

From this, the line plot for February should have:

• 1 dot above 2
• 1 dot above 3
• 1 dot above 4
• 2 dots above 6
• 2 dots above 8

Now, let's evaluate the provided responses:

1. "There should be 2 dots above 8 in the line plot of January's snowfall, not 1 dot."

   • True (Mistake): The correct count is 2 dots above 8.

2. "There should be 1 dot above 2 in the line plot of January's snowfall, not 2 dots above 1."

   • False (Not a mistake): There should be 2 dots above 1, which is correctly represented.

3. "There should only be 7 dots in total in the line plot for February's snowfall, not 8 dots."

   • False (Not a mistake): There are 7 dots represented in the correctly compiled data for February snowfall.

4. "There should be no dot above 7 in the line plot of January's snowfall, not 1 dot."

   • False (Not a mistake): There should be 1 dot above 7, which is correctly represented.

5. "There should be fewer dots above 6 than above 2 in the plot of February's snowfall."

   • False (Not a mistake): There is 1 dot above 2 and 2 dots above 6.

Only the first statement is true. Therefore, the mistakes in the students' line plots are as follows:

• There should be 2 dots above 8 in the line plot of January's snowfall, not 1 dot.

This is the only mistake identified.