Z-score na mgawanyo wa kawaida
Z-score na uwezekano chini ya mkunjo wa kengele, na thamani kwa pasentaili.
Kuhusu Z-score na mgawanyo wa kawaida
Z-score na uwezekano chini ya mkunjo wa kengele, na thamani kwa pasentaili.
Sehemu ya kitengo cha “Takwimu” cha SmartCalcy. Kinaendeshwa kwenye kivinjari chako bila akaunti, kinatumia sarafu na vipimo vyako (vibadilishe juu ya ukurasa), na kinatoa makadirio kwa taarifa tu, kwa hiyo angalia mwongozo rasmi kabla ya kutegemea matokeo.
Jinsi ya kutumia Z-score na mgawanyo wa kawaida
Kinachohesabu na wakati wa kukitumia
Kinapata uwezekano, alama-z na asilimia za mpangilio (percentiles) kwa mgawanyo wa kawaida wenye wastani na mkengeuko sanifu wowote.
Jinsi ya kukitumia, hatua kwa hatua
- Weka wastani na mkengeuko sanifu.
- Weka thamani au uwezekano.
- Soma alama-z, eneo na percentile.
Maana ya kila ingizo
- Hesabu – Inaanza at Probability kwa a Thamani.
- Wastani – Inaanza at 100.
- Mkengeuko sanifu – Inaanza at 15.
- Thamani – Inaanza at 120.
Jinsi ya kusoma matokeo
- Z-score – The headline answer. In the default example it reads 1.3333.
- P(X < thamani) – Default Mfano: 90.879%.
- P(X > thamani) – Default Mfano: 9.121%.
- Thamani-p ya pande mbili – Default Mfano: 0.18242.
- Pasentaili – Cha Default example: 90.88.
Fomula
z = (x − mean) ÷ standard deviation. The probability is the area under the bell curve up to z, found with the normal CDF.
Mfano uliofanyiwa kazi
With the starting entries (Calculate: Probability for a value, Mean: 100, Standard deviation: 15, Value: 120), the calculator shows z-score of 1.3333. It also reports p(x < value) 90.879%; p(x > value) 9.121%; two-tailed p-value 0.18242; percentile 90.88th.
Dhana na mipaka
- The data follow a Kawaida distribution.
Makosa ya kawaida
- Applying it hadi skewed data.
- Confusing the Msongamano with the probability.
Maswali yanayoulizwa mara kwa mara
Kiasi gani kiko ndani ya mkengeuko sanifu 1?
Takriban 68%. Takriban 95% iko ndani ya 2 na 99.7% ndani ya 3.
Zana zinazohusiana
Maelezo
- P(X < thamani)
- 90.879%
- P(X > thamani)
- 9.121%
- Thamani-p ya pande mbili
- 0.18242
- Pasentaili
- Cha 90.88