Discrete Uniform Distribution.

1. Discrete
Uniform
distributions

2. Hello!
I am Arpit Surana
You can find me at -
arpitsurana116116@gmail.com

3. Contents
Meaning
Mean,
Median
Mode
Variance

4. Uniform Distributions
Let’s start to learn

5. “
The distribution in which all the
probabilities are same i.e. uniform
Spinning of a 4 sided spinner (x) 1 2 3 4
Probability P(X=x) 1
4
1
4
1
4
1
4

6. Probability function
𝑃 𝑋 = 𝑥 =
1
𝑘
𝑥 = 1,2,3,4, … … . 𝑘
Example –
If we roll a dice then the “k=6” so
each probability is
1
𝑘
=
1
6

7. Mean
Example –
Mean =
4+1
2
= 2.5
Spinning of a 4 sided
spinner (x)
1 2 3 4
Probability P(X=x) 1
4
1
4
1
4
1
4

8. Median & Mode
Median = Middle = =Mean
Mode is the value which has highest probability or
no. which appears the most
Since every value has same probability, there is no mode

9. Variance
Variance measures how far a set of (random) numbers are spread
out from their average value.

10. Example
𝑉𝑎𝑟 𝑋2
= =
42−1
12
=
15
12
= 1.25
Spinning of a 4 sided
spinner (x)
1 2 3 4
Probability P(X=x) 1
4
1
4
1
4
1
4

11. Thank YouAny Question ??