kuartil datas di MATHEMATICAL STATISTICS

kuartil datas di MATHEMATICAL STATISTICS

1. MATHEMATICAL
STATISTICS
Types of Statistics
• Descriptive Statistics :
The data is summarised and explained in descriptive statistics
• Inferential Statistics :
convey the meaning of the collected data after it has been
collected, evaluated, and summarised
Bar Chart Pie Chart Line Chart
Pictograph Histogram Frequency Distribution
Representation of Data
Measures of Central Tendency
Measures of Dispersion
oMean
oMedian
oMode
oRange
oVariance
oStandard deviation
oQuartiles and Quartile deviation
oMean and Mean deviation

3. Mean
Mean is the most commonly used measure of central tendency.
Suppose we have n values in a set of data namely as x1, x2, x3, …, xn, then the
mean of data is given by:
Rumusmeanuntukdata tunggal
Nilai quiz dari 20 mahasiswa : 88, 82, 88, 85, 84, 80, 81, 82, 83, 85, 84, 74, 75, 76, 89, 90, 89, 80, 82, 83
= [88 + 82 + 88 + 85 + 84 + 80 + 81 + 82 + 83 + 85 + 84 + 74 + 75 + 76 + 89 + 90 + 89 + 80 + 82 + 83]/20
= 1660/20
= 83
Contoh:

4. Rumusmeanuntukdata berkelompok
Contoh:

5. Median
In statistics, is the middle value of the given list of data when arranged in an order
In geometry, a median is also defined as the centre point of a polygon
Jumlah Observasi Genap
Jumlah Observasi Ganjil
Cari median dari berikut ini:
4, 17, 77, 25, 22, 23, 92, 82, 40, 24, 14, 12, 67, 23, 29
Solusi:
Jika kita mengurutkan angka tersebut, kita akan memperoleh:
4, 12, 14, 17, 22, 23, 23, 24, 25, 29, 40, 67, 77, 82, 92,
Ada lima belas angka. Nilai tengah kita adalah angka kedelapan:
Nilai median dari kumpulan angka ini adalah 24.

6. mode
is the value that is repeatedly occurring in a given set
high frequency or appears more frequently, is called mode ormodal value
When there are two modes in a data set, then the set is calledbimodal
The mode of Set A = {2,2,2,3,4,4,5,5,5} is 2 and 5
When there are three modes in a data set, then the set is calledtrimodal
mode of set A = {2,2,2,3,4,4,5,5,5,7,8,8,8} is 2, 5 and 8
Find the mode of 4, 4, 4, 9, 15, 15, 15, 27, 37, 48 data set.
Solution:Given:4, 4, 4, 9, 15, 15, 15, 27, 37, 48 is the data set.
4 and 15 are modes of the set.
Find the mode of3, 6, 9, 16, 27, 37, 48

7. Find the mean, median, mode and range for the given data:
90, 94, 53, 68, 79, 94, 53, 65, 87, 90, 70, 69, 65, 89, 85, 53, 47, 61, 27, 80

8. Dampak bentuk distribusi pada central tendency
Skewed distributions
Symmetrical distribution

9. Kuartil
Kuartil adalah nilai pembatas
yang membagi data terurut
menjadi empat bagian yang
sama.Kuartil terdiri dari tiga jenis
yaitu kuartil pertama (Q1Q1)
yang disebut juga kuartil bawah,
kuartil kedua (Q2Q2) yang
disebut juga median atau nilai
tengah, dan kuartil ketiga (Q3Q3)
yang disebut juga kuartil atas.

10. 18, 32, 32, 32,32, 34,50, 52, 64,68, 68,68, 68, 68,68, 68,88, 88, 88, 90