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  • How do you find a standardized value?

    步骤 平均值 公式

    Questioner:Benjamin Adams 2023-06-17 11:09:51
The most authoritative answer in 2024
  • Julian Martinez——Works at the International Fund for Agricultural Development, Lives in Rome, Italy.

    As a subject matter expert in statistics, I'm often asked about how to find a standardized value, also known as a z-score. This is a measure of how many standard deviations an element is from the mean. It's a crucial concept in statistics, as it allows us to compare values from different distributions on a common scale. Let's delve into the steps to find a standardized value.
    Step 1: Identify the observation (X), the mean (μ), and the standard deviation (σ) in the question. These are the three key components you need to calculate a z-score. The observation is the data point you're interested in, the mean is the average of the dataset, and the standard deviation is a measure of the spread or variability of the dataset.

    Step 2: **Plug the values from Step 1 into the formula**. The formula for calculating a z-score is as follows:
    \[ z = \frac{X - μ}{σ} \]

    Now, let's apply this to the example you've provided. It seems there is a slight error in the formula as presented. The correct formula should be:
    \[ z = \frac{X - μ}{σ} \]

    Given the values:
    - Observation (X) = 520
    - Mean (μ) = 420
    - Standard Deviation (σ) = 50

    We can calculate the z-score as follows:
    \[ z = \frac{520 - 420}{50} \]
    \[ z = \frac{100}{50} \]
    \[ z = 2 \]

    This means that the observation is 2 standard deviations above the mean.

    Now, let's translate this explanation into Chinese.

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    +149932024-04-28 04:57:51
  • William Anderson——Works at Facebook, Lives in Menlo Park, CA

    Step 1: Identify the observation (X), the mean (--) and the standard deviation (--) in the question. Step 2: Plug the values from Step 1 into the formula: Standardized value = X -C -- / -- = 520 -C 420 / 50.Oct 15, 2014read more >>
    +119962023-06-23 11:09:51

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