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This z-score also correspond to a percentile of about 0.89, which means she scored higher than 89% of her classmates. If her exam score corresponds to a z-score of 1.23, this means her exam score was 1.23 standard deviations above the mean exam score. This might seem like a high score, but what if the exam was really easy and her whole class did well on it? To determine how good her score is relative to all of the other scores in the class, we could calculate both the z-score and the percentile of her exam score. Thus, any z-score greater than 0 corresponds to a percentile greater than 0.50 and any z-score less than 0 corresponds to a percentile less than 0.50.ĭepending on the type of question you’re trying to answer, it might be more helpful to know either the z-score or the percentile.įor example, suppose Jessica gets a 90% on a certain exam. Percentiles, however, can only take on values between 0 and 100.Ī z-score of 0 corresponds to a percentile of exactly 0.50. Z-scores can take on any value between negative infinity and infinity. The Relationship Between Percentiles and Z-Scores In plain English, this means a data value located at the 85th percentile in a dataset has a z-score of 1.036. It turns out that a percentile of 0.85 corresponds to a z-score of roughly 1.036.
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probability = the percentile you’re interested in converting.įor example, here is how to convert a percentile of 0.85 to a z-score:.We can use the following built-in Excel function to convert a percentile to a z-score: How to Convert Percentiles to Z-Scores in Excel In plain English, this means a data value that has a z-score of 1.78 is larger than roughly 96.2% of all other data values in the dataset. It turns out that a z-score of 1.78 corresponds to a percentile of roughly 96.2. Ignores text, logical valus, and blank cells. STDEV Function Description: The STDEV Function Calculates the standard deviation. We will use TRUE to calculate percentiles.įor example, here is how to convert a z-score of 1.78 to a percentile: This Excel Tutorial demonstrates how to use the Excel STDEV Function in Excel to calculate the standard deviation, with formula examples. cumulative = TRUE returns the cumulative distribution function FALSE returns the probability distribution function.We can use the following built-in Excel function to convert a z-score to a percentile: How to Convert Z-Scores to Percentiles in Excel Fortunately, Excel has two built-in functions that make it easy to convert between the two. Often we wish to convert between z-scores and percentiles, depending on the type of question we’re trying to answer. A z-score tells us how many standard deviations away a certain value is from the mean of a dataset.Ī percentile tells us what percentage of observations fall below a certain value in a dataset.