Z-Score sucipeor

Badili thamani kamili ya z-score na upate asilimia yake.

Z-score —
Percentile P MiddleX ngumux) —
P ngumuX ngumux) —
Cheo —

Matokeo yanakuwa bora zaidi unapochapa.

Je, hesabu hiyo ilikupa jibu linalofaa?

Kuhusu kifaa hiki cha kupigia hesabu

A z-score (standard score) tells you how many standard deviations a value lies above or below the mean: z = (x − μ) / σ. A positive z-score sits above the mean, a negative one below, and a z-score of zero is exactly at the mean. Standardising this way lets you compare values measured on completely different scales.

This calculator also returns the percentile — the probability that a value from a normal distribution is below x — and the right-tail probability, using the standard-normal cumulative distribution computed with an accurate error-function approximation, and it plots where x sits on the bell curve.

Worked example: if a test has a mean of 70 and a standard deviation of 10, a score of 85 gives z = (85 − 70) ÷ 10 = 1.5, meaning it is one and a half standard deviations above average. Under a normal distribution about 93.3% of scores fall below it, so it lands at roughly the 93rd percentile. Z-scores are the basis of standardised testing, quality control and the "68–95–99.7" rule.

Maswali yaliyoulizwa mara nyingi

Kuzoa 2 kwamaanisha nini?

A z-score of 2 means the value is two standard deviations above the mean. Under a normal distribution about 97.7% of values fall below it, so it is a fairly extreme, high value.

Je, inawezekana kuwa na mkasa wa kuzubaa usio na maana?

Yes. A negative z-score simply means the value is below the mean. A z-score of −1.5, for example, is one and a half standard deviations below the average.

Ninahesabuje z-score?

Subtract the mean from your value and divide by the standard deviation: z = (x − μ) / σ. For x = 85, μ = 70 and σ = 10 the z-score is (85 − 70) ÷ 10 = 1.5.

Kiwambo cha z-score kina uhusiano gani na asilimia moja ya maji?

The z-score is converted to a percentile through the standard-normal cumulative distribution, which gives the proportion of values below it. A z-score of 0 is the 50th percentile, +1 is about the 84th and −1 about the 16th.

Ni nini kinachoonwa kuwa cha juu au kisicho cha kawaida?

Kwa kawaida, z-scores zinazopita 2 ni nadra sana na zaidi ya faida ya 3 ni nadra kupatikana, kwa kuwa asilimia 95 hivi ya ugawanyaji wa kawaida uko katika viwango viwili tofauti vya ugeugeu na asilimia 99.7 ndani ya asilimia mitatu.

Je, ninahitaji kugawanywa kwa njia ya kawaida ili kutumia kiruu?

Unaweza kuweka kanuni yoyote ya z fomy (ubora wa sura yoyote ile), lakini uwezo wa asilimia na mkia na nguvu za nyenzo hii inashahisi takwimu hizi zinafuata usambazaji wa kawaida.

Vifaa vya Kupima Gharama

Hesabu ya Mzoga P-Value suberor (hutoka Z) Hesabu ya Watu Ambao Ni Kawaida

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API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria

Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →

keyboard label

GET https://calculator.free/api/v1/z-score/

curl

curl "https://calculator.free/api/v1/z-score/?x=85&mean=70&sd=10"

JavaScript fetch()

const r = await fetch(
  "https://calculator.free/api/v1/z-score/?" + new URLSearchParams({
    "x": "85",
    "mean": "70",
    "sd": "10"
  }));
const data = await r.json();
console.log(data.results);

Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.