Descriptive Statistics: The Mode

0:00 Introduction
0:27 Definition
5:09 Mean vs Median
8:17 Challenge Question

Series music by Purdy.
Song: 3 Friends to the Stars

[armaosk]

Hi Justin. Fun question there at the end.
I came up with the following set of numbers:
0, 1, 2, 3, 3, 10
mean = (0+1+2+3+3+10)/6 = 19/6 = 3, 17
mode = 3
median = (2+3)/2 = 2.5
I think this is the minimum set with median < mode < mean.

[priyaark]

1, 1, 2, 2, 3, 3, 3, 10
Median - 2.5
Mode - 3
Mean - 3.125

[japhethchew]

I like how you "tempt" people to try out the exercise :)

[SanjayFGeorge]

I'm thinking of incomes in a banana republic. Comrade El Presidente has a huge salary pushing the mean way up into the Stratosphere ... All govt employees have the same fixed salary giving a high frequency for the mode and then a huge swathe of poor with various meagre salaries pulling the median below the mode ...

[sainathm]

you confused me at 3:44 you said mode is calculated by selecting 2 matching numbers and now here you are taking mode as highest frequency? how
also how you calculated median and mean fully confused

[bichithbalan]

Which measure of location will be suitable to compare, a. Heights of students in two classes, b. Size of agricultural holding, c. Average sales for various years, d. Intelligence of students, e. Per capita income in several countries, why?

[arfanmansoor]

Here is another set of number: 0, 1, 2, 3, 4, 4, 9, 10
Mean: 4.125
Mode: 4
Median: 3.5

[blackheart]

Thank you for amazing videos. I have a doubt that finally, with a distribution where all samples have the same frequency, let's say 1, each sample can be a MODE?

[RajeshwariThengil]

Datapoint = [1, 5, 5, 5, 3, 3, 5, 50, 2] Mode = 5, Median = average of 3 and 5 which is 4, Mean = 8.2. Median<Mode<Mean

[AnilPatel-fskt]

Brilliant - I always found statistics confusing, but your explanations are very clear, Thank you.

[GauravSharma_]

CHALLENGE QUESTION:

{8, 8, 8, 9, 10}

MODE: 8 with Highest frequency.
Median: With 5 data, 8 is in the middle.
Mode: 8+8+8+9+10 / 5 = 43/5 = 8.6.

MEDIAN = 8 < MODE=8 < MEAN=8.6.

[OmarEldemiri]

1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 10, 10, 10

median = 3.5
mode= 4
mean= 4.4

[ilipillaneeleshpathrudu]

My guess is 0, 1, 2, 3, 4, 5, 6, 6, 7, 8, 9, 10
Median=5.5
Mode=6
Mean=6.1
Median<Mode<Mean

[St.Karelis]

We asked 10 people, how many ice creams they wanna have for free.
1 person answered 1, 2 persons answered 2, 2 persons answered 3, 3 persons answered 4, 1 person answered 5 and 1 person answered 30!
1+2+2+3+3+4+4+4+5+30
median: 3, 5 (between 3 and 4)
mode: 4 (the most wanted choice)
mean: 5, 8 (the average demand)

[nethravathibg]

for census example, why its weighted mean is calculated and not the mean calculation?

[pb]

Flip the tail of an asymmetric distribution.

[ebtisamhussien]

My set is 2 2 1 10
The mean is 3.75
The mode is 2
The median is 1
So the mean is greater than mode which is greater than the median

[guillemguigocorominas]

0, 0, 1, 1, 2, 2, 2, 9
median = 1.5
mode = 2
mean = 2.125

[lifetech]

Quite too late for this but, here is some values

6 6 5 6 10

median = 5
mode = 6
mean = 6.6

[somnathsahoo]

1.0, 1.5, 1.6, 3.0, 3.6, 0.6

Mean = 0.64
Median = 1.55
Mode = 2 child