কীভাবে Box Plot গণনা করবেন
Box Plot কি?
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.
সূত্র
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
ধাপে ধাপে নির্দেশিকা
- 1Q2 (median): middle value of sorted data
- 2Q1: median of lower half
- 3Q3: median of upper half
- 4IQR = Q3 − Q1; outlier threshold = 1.5×IQR
সমাধান করা উদাহরণ
ইনপুট
Data: 2,4,5,7,8,9,11,13
ফলাফল
Min=2, Q1=4.5, Med=7.5, Q3=10, Max=13
ইনপুট
IQR = 5.5, outlier threshold = 8.25 from quartiles
ফলাফল
Any value < −3.75 or > 18.25 is an outlier
সচরাচর জিজ্ঞাসা
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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