Which Line Plot Matches The Set Of Data

Lesson guide

Students will share their presentations.

SWD: Find ii students that institute the median using different strategies. Accept both students present, then compare and contrast their solutions.

Mathematical Practices

Mathematical Practice 1: Make sense of problems and persevere in solving them.

Accept students share their methods for finding the median. Students might pair off the data values from either end of the range, use an ordered listing of values, or use the line plot. Or, students might order the list and reason that, because in that location are 12 values, the middle value is between the 6th and seventh values on the listing.

Mathematical Practise 3: Construct viable arguments and critique the reasoning of others.

Discuss which method students notice easier to understand and utilize.

Mathematics

Have selected students present their explanations. Cull students who tin prove different methods for determining the mean, median, mode, and range.

Students can find the sum of the information using just the data:

6 + 1 + 0 + ii + three + 4 + three + i + 2 + 6 + 3 + 5 = 36

Or using the line plot:

There are 12 data values, so the mean is 3: 36 ÷ 12 = iii.

Y'all can besides use the off-white-share method to await at the mean. Use the line plot to show what that might wait like:

Starting with the line plot, the 0 score and i of the 6 scores can be moved to the 3 column considering 0 + 6 = 3 + 3 (the 6 score "gives" 3 points to the 0 score).

Likewise, a i score and a 5 score tin be moved to the 3 column (1 + 5 = three + 3).

A score of 2 and a score of 4 are moved to the iii column:

Lastly, the 1 score, 2 score, and 6 score can exist moved to the 3 column (1 + 2 + 6 = 3 + 3 + 3).

Notice that the full of the data is still 36 (3 × 12 = 36).

Be sure to mention in the discussion that sometimes you would have to do more than adjusting to find the mean. As well, if the mean is not a whole number, adjusting with the line plot would not be a good method to apply.

Hash out whether it is easier to notice the set of scores with the most data using the list of numbers or using the line plot.

Discuss whether it is easier to observe the middle score using the list of numbers or using the line plot.

Students tin can bear witness the middle 50% of the data on the line plot. Since in that location are 12 data values, in that location should be 12 × fifty% = six values in the middle 50%, 3 above the median, and 3 below. The center 50% gives us an idea of where the data may exist clustered.

As students nowadays their work, ask questions like:

Which method is easier?
In what kinds of situations would 1 method exist ameliorate than another?
What do you lot retrieve the typical score is? Why?

Functioning Chore

Ways of Thinking: Make Connections

Have notes every bit your classmates share how they calculated the mean and identified particular scores.

Hint:

As your classmates present, ask questions such equally:

How did you find the hateful?
How did you identify the everyman score?
How did yous identify the highest score?
How did yous identify which score occurs nearly oft?
How did you make up one's mind which score is in the middle of
the information?
How did you decide which scores brand up the middle 50 percent of the information?
How exercise the hateful, the score in the heart of the data, and the score that appeared near often compare?