How do you find the MAD

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

How do you find the mean from the box-plot itself?

You cannot find the mean from the box plot itself. The information that you get from the box plot is the five number summary, which is the minimum, first quartile, median, third quartile, and maximum.

how do you find the median,mode,mean,and range please help me on this somebody i'm doom if i don't get this

The median is the middle number in the data set. The mode is the number that shows up the most in the data set. The mean is the average number of the data set (to find it, you have to add up all of the numbers (sum) and then divide it by how many numbers there are). The range is the number when you subtract the highest number and the lowest number. Ex. The highest number in the data set is 10. The lowest number in the data set is 5. To find the range, you would do 10-5, so the range of the data set is 5.

If the median is a number from the actual dataset then do you include that number when looking for Q1 and Q3 or do you exclude it and then find the median of the left and right numbers in the set?

If the median is a number from the data set, it gets excluded when you calculate the Q1 and Q3. If the median is not a number from the data set and is instead the average of the two middle numbers, the lower middle number is used for the Q1 and the upper middle number is used for the Q3. :)

How should I draw the box plot? Is there a certain way to draw it?

This video from Khan Academy might be helpful. https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/v/constructing-a-box-and-whisker-plot

Hey, I had a question. So, when you have the box plot but didn't sort out the data, how do you set up the proportion to find the percentage (not percentile). For example, take this question: "What percent of the students in class 2 scored between a 65 and an 85?"

Ok so I'll try to explain it without a diagram The space between the lowest value and quartile 1 is 25% or 1/4. Quartile 1 to the median is another 25% making it 50% so far. The median to the 3rd quartile is _another_ 25% and the 3rd quartile to the highest value if obviously 25% more. So that's 100%. If 65 is the lowest value and 85 is between the lowest value and quartile 1, then 25% of the students in class scored between 65 and 85. If 65 and 85 go through the lowest value to quartile 1 and to the median then that would be 50%. I hope this helps? I would need the diagram to explain it better though. I think the Interpreting Quartiles section of the article will explain it better with the visual. Note: If you ever come across a question with the mean of a box plot, just say there is none. It's impossible to calculate the mean since we don't have all the data; only parts of it. You can estimate the mean, but not calculate it exactly. Again, hopes this helps :-)

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Box plot review

Google Classroom

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Example: Finding the five-number summary

A sample of

10

boxes of raisins has these weights (in grams):

25

28

29

29

30

34

35

35

37

38

Make a box plot of the data.

Step 1: Order the data from smallest to largest.

Our data is already in order.

25

28

29

29

30

34

35

35

37

38

Step 2: Find the median.

The median is the mean of the middle two numbers:

25

28

29

29

30

34

35

35

37

38

\frac{30 + 34}{2} = 32

The median is

32

Step 3: Find the quartiles.

The first quartile is the median of the data points to the left of the median.

25

28

29

29

30

Q_{1} = 29

The third quartile is the median of the data points to the right of the median.

34

35

35

37

38

Q_{3} = 35

Step 4: Complete the five-number summary by finding the min and the max.

The min is the smallest data point, which is

25

The max is the largest data point, which is

38

The five-number summary is

25

29

32

35

38

Example (continued): Making a box plot

Let's make a box plot for the same dataset from above.

Step 1: Scale and label an axis that fits the five-number summary.

Step 2: Draw a box from

Q_{1}

Q_{3}

with a vertical line through the median.

Recall that

Q_{1} = 29

, the median is

32

, and

Q_{3} = 35.

Step 3: Draw a whisker from

Q_{1}

to the min and from

Q_{3}

to the max.

Recall that the min is

25

and the max is

38

We don't need the labels on the final product:

Want to learn more about making box and whisker plots? Check out this video.

Want to practice making box plots? Check out this exercise.

Interpreting quartiles

The five-number summary divides the data into sections that each contain approximately

25 %

of the data in that set.

Example: Interpreting quartiles

About what percent of the boxes of raisins weighed more than $29$ ‍ grams?

Since

Q_{1} = 29

, about

25 %

of data is lower than

29

and about

75 %

is above is

29

About

75 %

of the boxes of raisins weighed more than

29

grams.

Want to learn more about interpreting quartiles? Check out this video.

Want to practice more problems like this? Check out this exercise.

Want to join the conversation?

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saul312
Posted 6 years ago. Direct link to saul312's post “How do you find the MAD”
How do you find the MAD
Button navigates to signup pageComment on saul312's post “How do you find the MAD”
(23 votes)
Answer
- Muhammad Amaanullah
  Posted 6 years ago. Direct link to Muhammad Amaanullah's post “Step 1: Calculate the mea...”
  Step 1: Calculate the mean.
  Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
  Step 3: Add those deviations together.
  Step 4: Divide the sum by the number of data points.
  Comment on Muhammad Amaanullah's post “Step 1: Calculate the mea...”
  (56 votes)
Nick
Posted 4 years ago. Direct link to Nick's post “how do you find the media...”
how do you find the median,mode,mean,and range please help me on this somebody i'm doom if i don't get this
Button navigates to signup pageButton navigates to signup page
(11 votes)
Answer
- Maya B
  Posted 4 years ago. Direct link to Maya B's post “The median is the middle ...”
  The median is the middle number in the data set.
  The mode is the number that shows up the most in the data set.
  The mean is the average number of the data set (to find it, you have to add up all of the numbers (sum) and then divide it by how many numbers there are).
  The range is the number when you subtract the highest number and the lowest number.
  Ex. The highest number in the data set is 10. The lowest number in the data set is 5. To find the range, you would do 10-5, so the range of the data set is 5.
  Comment on Maya B's post “The median is the middle ...”
  (23 votes)
hon
Posted 6 years ago. Direct link to hon's post “How do you find the mean ...”
How do you find the mean from the box-plot itself?
Button navigates to signup pageComment on hon's post “How do you find the mean ...”
(12 votes)
Answer
- Maya B
  Posted 4 years ago. Direct link to Maya B's post “You cannot find the mean ...”
  You cannot find the mean from the box plot itself. The information that you get from the box plot is the five number summary, which is the minimum, first quartile, median, third quartile, and maximum.
  Comment on Maya B's post “You cannot find the mean ...”
  (15 votes)
Jiye
Posted 6 years ago. Direct link to Jiye's post “If the median is a number...”
If the median is a number from the actual dataset then do you include that number when looking for Q1 and Q3 or do you exclude it and then find the median of the left and right numbers in the set?
Button navigates to signup pageButton navigates to signup page
(4 votes)
Answer
- Jem O'Toole
  Posted 5 years ago. Direct link to Jem O'Toole's post “If the median is a number...”
  If the median is a number from the data set, it gets excluded when you calculate the Q1 and Q3. If the median is not a number from the data set and is instead the average of the two middle numbers, the lower middle number is used for the Q1 and the upper middle number is used for the Q3. :)
  Button navigates to signup page
  (9 votes)
Khoa Doan
Posted 6 years ago. Direct link to Khoa Doan's post “How should I draw the box...”
How should I draw the box plot? Is there a certain way to draw it?
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- Anthony Liu
  Posted 6 years ago. Direct link to Anthony Liu's post “This video from Khan Acad...”
  This video from Khan Academy might be helpful.
  
  https://www.khanacademy.org/math/statistics-probability/summarizing-quantitative-data/box-whisker-plots/v/constructing-a-box-and-whisker-plot
  Button navigates to signup page
  (5 votes)
Yanelie12
Posted 6 years ago. Direct link to Yanelie12's post “How do you fund the mean ...”
How do you fund the mean for numbers with a %.
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(5 votes)
Answer
- bonnie koo
  Posted 3 years ago. Direct link to bonnie koo's post “just change the percent t...”
  just change the percent to a ratio, that should work
  Button navigates to signup page
  (0 votes)
Ozzie
Posted 3 years ago. Direct link to Ozzie's post “Hey, I had a question. So...”
Hey, I had a question. So, when you have the box plot but didn't sort out the data, how do you set up the proportion to find the percentage (not percentile). For example, take this question: "What percent of the students in class 2 scored between a 65 and an 85?"
Button navigates to signup pageButton navigates to signup page
(2 votes)
Answer
- OJBear
  Posted 3 years ago. Direct link to OJBear's post “Ok so I'll try to explain...”
  Ok so I'll try to explain it without a diagram
  
  The space between the lowest value and quartile 1 is 25% or 1/4. Quartile 1 to the median is another 25% making it 50% so far. The median to the 3rd quartile is another 25% and the 3rd quartile to the highest value if obviously 25% more. So that's 100%.
  
  If 65 is the lowest value and 85 is between the lowest value and quartile 1, then 25% of the students in class scored between 65 and 85. If 65 and 85 go through the lowest value to quartile 1 and to the median then that would be 50%.
  
  I hope this helps? I would need the diagram to explain it better though. I think the Interpreting Quartiles section of the article will explain it better with the visual.
  
  Note: If you ever come across a question with the mean of a box plot, just say there is none. It's impossible to calculate the mean since we don't have all the data; only parts of it. You can estimate the mean, but not calculate it exactly.
  
  Again, hopes this helps :-)
  Comment on OJBear's post “Ok so I'll try to explain...”
  (2 votes)
Yanni RoseC
Posted 4 years ago. Direct link to Yanni RoseC's post “How do you find the best ...”
How do you find the best estimate for the mean at least?
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(2 votes)
Answer
- WEW012
  Posted 4 years ago. Direct link to WEW012's post “um. I dont think you real...”
  um. I dont think you really have to estimate. you just add all the values of something together, then divide by the number of numbers there are.
  Button navigates to signup page
  (1 vote)
raghadg3
Posted a year ago. Direct link to raghadg3's post “Box-and-whisker plot.Shor...”
Box-and-whisker plot.Short description, Box-and-whisker plot.,Long description,
A box-and-whisker plot is entitled Ages of the First 21 Shoppers to Walk into a Department Store. The number line goes from 0 to 60 in increments of 5.

The whiskers go from 2 to 53. The box goes from 11.5 to 38.5, with a line at 19.

Question
What is the median age shown on the box-and-whisker plot?
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(2 votes)
Answer
LydiaD
Posted 3 years ago. Direct link to LydiaD's post “how do you get the quarti...”
how do you get the quartiles
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(2 votes)
Answer
- green_ninja
  Posted 3 years ago. Direct link to green_ninja's post “Let's say you have this s...”
  Let's say you have this set of numbers:
  1, 2, 6, 8, 12, 18, 21
  
  The median for this set of numbers is 8. To find the quartiles (Q1 and Q3) take the sets to the left and right of 8, which are as follows: [1, 2, 6] and [12, 18, 21] and find their medians.
  
  Q1 = 2
  Q3 = 18
  
  In the case where a set has an even amount of numbers, like this one:
  1, 2, 6, 8, 12, 18
  
  Split the set in half to find the quartiles: [1, 2, 6] and [8, 12, 18].
  
  Q1 = 2
  Q3 = 12
  
  Hope this cleared things up!😄
  Button navigates to signup page
  (1 vote)

Statistics and probability