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Cara Menghitung Box Plot

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A box plot (box-and-whisker plot) visualises the distribution of data using five statistics: minimum, Q1, median, Q3, and maximum. Outliers are shown as individual points beyond 1.5×IQR from the quartiles.

Rumus

Q1 = 25th percentile, Q2 (median) = 50th, Q3 = 75th; IQR = Q3 − Q1
Min
minimum value
Q1
first quartile (25th percentile)
Q2
median (50th percentile)
Q3
third quartile (75th percentile)
Max
maximum value
IQR
interquartile range — Q3 − Q1

Panduan Langkah demi Langkah

  1. 1Q2 (median): middle value of sorted data
  2. 2Q1: median of lower half
  3. 3Q3: median of upper half
  4. 4IQR = Q3 − Q1; outlier threshold = 1.5×IQR

Contoh Terpecahkan

Masukan
Data: 2,4,5,7,8,9,11,13
Hasil
Min=2, Q1=4.5, Med=7.5, Q3=10, Max=13
Masukan
IQR = 5.5, outlier threshold = 8.25 from quartiles
Hasil
Any value < −3.75 or > 18.25 is an outlier

Pertanyaan yang sering diajukan

What is a boxplot used for?

Boxplots visualize the distribution, spread, and outliers of data at a glance.

How are outliers determined in a boxplot?

Points beyond 1.5×IQR from Q1 or Q3 are typically marked as outliers.

Is the median always at the center of the box?

No, the line inside the box shows the median's position relative to Q1 and Q3, reflecting data skewness.

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