M
MathSphere
Research computing and writing
Probability
Problem Composer
Descriptive Statistics
Namuna ma'lumotlari, markaziy tendensiya va tarqalish signalini tez ko'rish uchun dataset kiriting.
Preset
Signal Noise Snapshot
Experience
advanced
Probability, inference va simulation lane'lar shu shell ichida ishlaydi.
Rendered Preview
12, 15, 13, 17, 19, 18, 14, 16, 20, 22
scope = Sample Profile
params = bins=6
Primary Visual
Distribution / sample profile
sample profile
12.0-13.7
2.00
13.7-15.3
2.00
15.3-17.0
1.00
17.0-18.7
2.00
18.7-20.3
2.00
20.3-22.0
1.00
Numerical Fallback
Analytic form unavailable

Analytic status: closed-form ehtimollik ifodasi topilmadi.

Numerical lane: sample/statistical analysis tayyor.

Quyidagi tugma numerical derivation bosqichlarini ochadi.

Final Result Synthesis
Sample Size
10
Mean
16.600
Median
16.500
IQR
4.500
Variance
10.267
Std Dev
3.204
Outliers

0 outside Tukey fence [7.500, 25.500]

Final Formula

xˉ=16.600\bar{x} = 16.600

Q1=14.250, x~=16.500, Q3=18.750Q_1=14.250,\ \tilde{x}=16.500,\ Q_3=18.750

Method Trace
Analytic derivation topilsa shu yerda chiqadi; bo‘lmasa numerical fallback tugmasi bosqichlarni ochadi.
Histogram / sample spread
Mean 16.600
Skew 0.144
Phase: analysis-readyMode: descriptive
Probability lane tayyor
Probability Studio - MathSphere Laboratory