how to find the mean, median, and mode by: george suggs
TRANSCRIPT
How to find the mean, median, and mode
By: George Suggs
MEAN, MEDIAn, And MODE
Finding the mean, median, and mode does not have to be difficult. This presentation will teach you the steps to finding each, but first let’s look at the scenario to help you better understand the use of having to find the mean, median, and mode…
MEAN, MEDIAn, And MODE
Ms. Collins’ has been trying to loose weight for the last 8 months. Each month she weighs in. The chart below shows her results.
Month WeightJanuary 158 lbs
February 149 lbs
March 144 lbs
April 148 lbs
May 151 lbs
June 148 lbs
July 142 lbs
August 140 lbs
She would like to know the mean, median, and mode of her weight loss to help her figure out her overall progress with her diet.
Mean.
Defined : The mean is the average or typical result in a given set of data.
MeanUsing the data, we will find Ms. Collins’ mean or average weight. . How to: To find the mean (average) you add all numbers together and divide by the total numbers given.
STEP 1: add all numbers together
158+149+144+148+151+148+142+140= 1180
STEP 2: Divide answer by the total numbers in all
(158+149+144+148+151+148+142+140) = 8 numbers total
SO…1180÷8= 147.5
STEP 3: The answer Ms. Collin’s mean or average weight for 8 months is 147.5 lbs
Month Weight
January 158 lbs
February 149 lbs
March 144 lbs
April 148 lbs
May 151 lbs
June 148 lbs
July 142 lbs
August 140 lbs
MedianHow to: To find the median, you will put the numbers in order from least to greatest (Only write the number once when ordering). If the set is odd, simply take the middle number. If the set is even, average the two middle numbers.
Defined: The median is the middle number in a set of data.
MedianNow we will use Ms. Collins’ data to find her median or middle weight (Her data results in an odd number)
STEP 1: Put numbers in order from least to greatest (only write the number one time).
140, 142, 144, 148 (only once), 149, 151,158 STEP 2: find the middle number
140, 142, 144, 148, 149, 151,158
STEP 3: The answer Ms. Collin’s median or Middle weight for 8 months is 148 lbs
Month Weight
January 158 lbs
February 149 lbs
March 144 lbs
April 148 lbs
May 151 lbs
June 148 lbs
July 142 lbs
August 140 lbs
MedianNow we will use Ms. Collins’ data to find her median or middle weight (if the data resulted in an even number)STEP 1: Put numbers in order from least to greatest (only write the number one time).
140, 142, 144, 147, 148, 149, 151,158
STEP 2: find the middle numbers
140, 142, 144, 147, 148, 149, 151,158
STEP 3: Average the two middle numbers by adding them and dividing the answer by two.
147+148= 295295÷2= 147.5
STEP 4: the answer
Ms. Collin’s median or Middle weight in this case for 8 months is 147.5 lbs
Month Weight
January 158 lbs
February 149 lbs
March 144 lbs
April 147 lbs
May 151 lbs
June 148 lbs
July 142 lbs
August 140 lbs
ModeDefined: The mode is the number in set of data repeated the most times. There can be more than one mode
How To: To find the mode you will need to again put the numbers in order from least to greatest (write the number as many times as it appears). The mode(s) will be the number(s) repeated the most.
ModeLastly, we will find the mode or the number repeated the most in Ms. Collins’ weight data.STEP 1: Put numbers in order from least to greatest (write number as many times as repeated).
140, 142, 144, 148, 148, 149, 151, 158
STEP 2: find the number repeated the most
140, 142, 144, 148, 148, 149, 151, 158
STEP 3: The answer Ms. Collin’s Mode or most repeated weight in this case for 8 months is 148 lbs.
NOTE… Remember there can be more than one mode, so if there are several numbers repeated an equal amount of time then they all are the modes.
Month Weight
January 158 lbs
February 149 lbs
March 144 lbs
April 148 lbs
May 151 lbs
June 148 lbs
July 142 lbs
August 140 lbs
MEAN, MEDIAn, And MODEHope this tutorial has helped you better understand the processes in finding the mean, median, and mode of a set of data. Now, for practice find the mean, median, and mode using this scenario…
Alex’s bulldog just gave birth to a litter of 7 puppies. Alex has weighed them and wants to the know the mean, median, and mode weights of his new litter. Try to figure out the mean, median, and mode of Alex’s new liter.
Puppies Pounds
Puppy 1 1 lb
Puppy 2 2 lbs
Puppy 3 2 lbs
Puppy 4 3 lbs
Puppy 5 1 lbs
Puppy 6 1 lb
Puppy 7 2 lbs
MEAN, MEDIAn, And MODE
Puppies Pounds
Puppy 1 1 lb
Puppy 2 2 lbs
Puppy 3 2 lbs
Puppy 4 3 lbs
Puppy 5 1 lbs
Puppy 6 1 lb
Puppy 7 2 lbs
Check and see if you got these answers….
Mean or average puppy weight… 1.7 lbs
Median or middle puppy weight… 2 lbs
Mode or weight(s) repeated the most…1 lb and 2 lbs
GREAT JOB!!!!!