areas under the normal curve application of normal distribution

Standardize Normal Tabulation Table Using Area Under Curve

Area Under Curve Using Standardized Normal Tabulation Table (Part III/IV)

How do you want to estimate the standardized value in your normally tabulated data? How are you going to interpret the best person performed in their IQ under the tabulation of specific range? All this thing can be assessed using standardized normal tabulation table using the concept of area under the curve. What is the area under the curve? In epidemiology, the area under the curve can be defined as the data fall within the calculated areas of X and being derived from Z tabulation and calculation using below formula:

Where, z = z value/z score; X the raw of normal data; U  = mean; denominator = standard deviation of the data. To learn more about the distribution of the data within the specific area under the curve, you can refer to this page (courtesy of the davidmlame.com). Below is the ideas explaining the method to understand the area under the curve for data analysis. Summary of the video will be as follows:

  1. What is area under curve
  2. How to use the area under curve to estimate the values of X and Z from standard tabulation table
  3. Calculate/ estimate probability area under curve using standardize normal table

 



 

Area Under Normal Curve

This video explains area under curve using standardize normal tabulation table

 

We hope that you understand this topic. You can refer below examples to try it yourself for the way to identify the area under curve technique. Please do leaves us a comment below, if you need helps. Thanks

  1. Calculate the region below the standard normal curve located to the left z = -2.43.
  2. Calculate the region below the standard normal curve located to the right z = 0.66.
  3. Calculate the region below the standard normal curve located between z = -0.67 and z = 1.83.
  4. For normal scattered scores, what is the proportion of scores that:
    Exceeded a) z = 1.10 b) exceeds z = 2.33  c) Below z = -2.13
  5. In a standard normal distribution, find the region/region:
    a) between z = 0 and z = 0.77
    b) to the left of z = 1.23
    c) to the right of z = -0.46
    d) between z = -1.35 and z = -2.66
    e) between z = -2.43 to z = 2.04
  6. If a set of scores is normally distributed with mean 500 and standard deviation of 100, find the proportion of the score
    a) more than 520 b. less than 350
    b) is between 340 and 430
  7. 1200 math test score is normally distributed with mean 60 and standard deviation. How many scores are:
    a) More than 56; b)less than 63
    c) between 57 and 74

 Area Under Normal Curve

standard normal tabulation table

 

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