What if there would be more same scores, lets say : 70, 70, 70, 75 , 80 , 90, 120. The mean would be best to describe?

the mean is so high bc of the outliar

How can you tell what the median is if the is two numbers in the middle?

You would have to take the average of the two numbers in the middle (add them and then divide by 2).

When there is an outlier, which measure of center is better to choose (mean or median)

here's another solution discard two (or more) extreme data points like the smallest and the largest and get the mean of the left in many practical cases, this works better than simple mean or median methods

Please can someone help me with this problem it says: A set of data has 10values no two of which are the same if the smallest value is removed from the set . Which of these statements must be true. - the range of the first data set is greater than the range of the second data set. - the mode of the first data set is greater than the mode of the second data set. -the medians of the two data sets are the same . - the mean of the first data set is greater than the mean of the second data set.

your original set could be: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. your new set is now: 2, 3, 4, 5, 6, 7, 8, 9, 10 -the first data set's range is greater (9>8). -neither set has a mode -second data set's median is greater (6>5.5) -2nd data mean is greater: (2+3+4+5+6+7+8+9+10)/9=6 (1+2+3+4+5+6+7+8+9+10)/10=5.5

How do you determine the mean and mode when the data set of numbers is too big to visualize individually?

You use computers a lot, basically! This is where software such as Excel, and programming languages such as R and Python come in handy.

When you find the median and its 2 numbers like 75 and 68 how do you find the middle? Would you put them from least to greatest, add then divide by 2?

If the median falls between two numbers, simply add those two numbers, then divide by 2. In the case you mentioned, 71.5 is halfway between 75 an 68.

Say if there was 69,69,69,69,69.72,80 would that mean that the mode would be the best measure of center because 69 is over half of the data so it would make sense for it to be the mode. Or would it not make sense?

thats crazy how are u scoring 69 in golf!

It says the mean is higher than all the scores but the mean is 81 and the highest score is 114. How is it higher than all the scores?

81 is higher than _most_ of the scores, not all of them.

Main content

High school statistics

Course: High school statistics > Unit 1

Lesson 3: Mean and median in data displays

Choosing the "best" measure of center

CCSS.Math:

HSS.ID.A.3

HSS.ID.A

Google Classroom

Mean and median both try to measure the "central tendency" in a data set. The goal of each is to get an idea of a "typical" value in the data set. The mean is commonly used, but sometimes the median is preferred.

Part 1: The mean

A golf team's 6 members had the scores below in their most recent tournament:

70, comma, 72, comma, 74, comma, 76, comma, 80, comma, 114

problem a

Calculate the mean score.

mean =

problem b

What is a correct interpretation of the mean score?

(Choice A)
It represents the "average" score. If each golfer had scored the same, they each would have scored the mean.
(Choice B)
It is the middle point in the set of scores. That is, half the team scored higher than the mean, and half the team scored lower than the mean.

Part 2: The median

problem a

Find the median score.
As a reminder, here are the scores: 70, comma, 72, comma, 74, comma, 76, comma, 80, comma, 114

median =

problem b

What is a correct interpretation of the median score?

(Choice A)
It is the "average" score. That is, if each golfer had scored the same, they each would have scored the median.
(Choice B)
It is the middle point in the set of scores. That is, half the team scored higher than the median, and half the team scored lower than the median.

Part 3: The "best" measure of center

Which measure best describes the scores of the team?
As a reminder, here are the scores: 70, comma, 72, comma, 74, comma, 76, comma, 80, comma, 114

The

best describes the scores of the team, because the

is higher than almost all of the scores in the data set.

Sort by:

Want to join the conversation?

julius
Posted 7 years ago. Direct link to julius's post “What if there would be mo...”
What if there would be more same scores, lets say : 70, 70, 70, 75 , 80 , 90, 120.
The mean would be best to describe?
Button navigates to signup pageComment on julius's post “What if there would be mo...”
(93 votes)
Answer
- alexandraworms7
  Posted 5 years ago. Direct link to alexandraworms7's post “the mean is so high bc of...”
  the mean is so high bc of the outliar
  Comment on alexandraworms7's post “the mean is so high bc of...”
  (23 votes)
jesiah.mack
Posted 6 years ago. Direct link to jesiah.mack's post “How can you tell what the...”
How can you tell what the median is if the is two numbers in the middle?
Button navigates to signup pageComment on jesiah.mack's post “How can you tell what the...”
(20 votes)
Answer
- Maya B
  Posted 3 years ago. Direct link to Maya B's post “You would have to take th...”
  You would have to take the average of the two numbers in the middle (add them and then divide by 2).
  Comment on Maya B's post “You would have to take th...”
  (8 votes)
arturop3gonzalez
Posted 6 years ago. Direct link to arturop3gonzalez's post “When there is an outlier,...”
When there is an outlier, which measure of center is better to choose (mean or median)
Button navigates to signup pageComment on arturop3gonzalez's post “When there is an outlier,...”
(13 votes)
Answer
- deka
  Posted 8 months ago. Direct link to deka's post “here's another solution d...”
  here's another solution
  discard two (or more) extreme data points like the smallest and the largest
  and get the mean of the left
  
  in many practical cases, this works better than simple mean or median methods
  Comment on deka's post “here's another solution d...”
  (3 votes)
sabahmubarak5
Posted 6 years ago. Direct link to sabahmubarak5's post “Please can someone help m...”
Please can someone help me with this problem it says:
A set of data has 10values no two of which are the same if the smallest value is removed from the set . Which of these statements must be true.
- the range of the first data set is greater than the range of the second data set.
- the mode of the first data set is greater than the mode of the second data set.
-the medians of the two data sets are the same .
- the mean of the first data set is greater than the mean of the second data set.
Button navigates to signup pageComment on sabahmubarak5's post “Please can someone help m...”
(12 votes)
Answer
- Timber Lin
  Posted 6 years ago. Direct link to Timber Lin's post “your original set could b...”
  your original set could be: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
  your new set is now: 2, 3, 4, 5, 6, 7, 8, 9, 10
  
  -the first data set's range is greater (9>8).
  -neither set has a mode
  -second data set's median is greater (6>5.5)
  -2nd data mean is greater: (2+3+4+5+6+7+8+9+10)/9=6
  (1+2+3+4+5+6+7+8+9+10)/10=5.5
  Button navigates to signup page
  (9 votes)
1947BarBara77
Posted 6 years ago. Direct link to 1947BarBara77's post “How do you determine the ...”
How do you determine the mean and mode when the data set of numbers is too big to visualize individually?
Button navigates to signup pageButton navigates to signup page
(10 votes)
Answer
- Sonja Halicki
  Posted 5 years ago. Direct link to Sonja Halicki's post “You use computers a lot...”
  You use computers a lot, basically! This is where software such as Excel, and programming languages such as R and Python come in handy.
  Button navigates to signup page
  (3 votes)
1315047620
Posted 5 years ago. Direct link to 1315047620's post “When you find the median ...”
When you find the median and its 2 numbers like 75 and 68 how do you find the middle? Would you put them from least to greatest, add then divide by 2?
Button navigates to signup pageButton navigates to signup page
(7 votes)
Answer
- Mark Geary
  Posted 5 years ago. Direct link to Mark Geary's post “If the median falls betwe...”
  If the median falls between two numbers, simply add those two numbers, then divide by 2. In the case you mentioned, 71.5 is halfway between 75 an 68.
  Button navigates to signup page
  (4 votes)
Riley Chaffin
Posted 2 years ago. Direct link to Riley Chaffin's post “Say if there was 69,69,69...”
Say if there was 69,69,69,69,69.72,80 would that mean that the mode would be the best measure of center because 69 is over half of the data so it would make sense for it to be the mode. Or would it not make sense?
Button navigates to signup pageComment on Riley Chaffin's post “Say if there was 69,69,69...”
(5 votes)
Answer
- DAMON CAGLIOLA
  Posted 5 months ago. Direct link to DAMON CAGLIOLA's post “thats crazy how are u sco...”
  thats crazy how are u scoring 69 in golf!
  Comment on DAMON CAGLIOLA's post “thats crazy how are u sco...”
  (4 votes)
advithi01
Posted 2 years ago. Direct link to advithi01's post “It says the mean is highe...”
It says the mean is higher than all the scores but the mean is 81 and the highest score is 114. How is it higher than all the scores?
Button navigates to signup pageButton navigates to signup page
(4 votes)
Answer
- Layla Isbell
  Posted 2 years ago. Direct link to Layla Isbell's post “81 is higher than _most_ ...”
  81 is higher than most of the scores, not all of them.
  Button navigates to signup page
  (4 votes)
bryan
Posted a year ago. Direct link to bryan's post “because the sun is far ow...”
because the sun is far oway when a ubject is far and a small ubject that when you line it up the small ubject blocks the bigger.
Button navigates to signup pageComment on bryan's post “because the sun is far ow...”
(5 votes)
Answer
koobr2026
Posted 6 months ago. Direct link to koobr2026's post “Beans? at 5:18 for dinner...”
Beans? at
5:18
for dinner ew
Button navigates to signup pageButton navigates to signup page
(5 votes)
Answer