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In other words p z 1 53 0 0630.
How to read z score table. A z score of zero means that the data value equals the mean. A z score is simply defined as the number of standard deviation from the mean. If a data value also is 50 then the z score is. For example consider a data set with a mean of 50 and a standard deviation of 2. Go to the column that represents the second digit after the decimal point the hundredths digit of your z value.
First use the z table to find the value where the row for 1 0 intersects with 0 00 which is 0 1587. To use the z score table start on the left side of the table go down to 1 0 and now at the top of the table go to 0 00 this corresponds to the value of 1 0 00 1 00. For example a z score of 1 53 has an area of 0 0630 to the left of it. Go to the row that represents the ones digit and the first digit after the decimal point the tenths digit of your z value. For george s example we need to use the 2nd table as his test result corresponds to a positive z score of 0 67.
The corresponding area is 0 8621 which translates into 86 21. First we find the first two digits on the left side of the z table. If a z score calculation yields a negative standardized score refer to the 1st table when positive used the 2nd table. Then find the value where the row for 1 0 intersects with the column for 0 00 which is 0 8413. There are two methods to read the z table.
Find the first two digits on the y axis 0 6 in our example. To find out the z score we use the formula. Finding a corresponding probability is fairly easy. To find the probability that z is between two values use the z table to find the probabilities corresponding to each z value and then find the difference between the probabilities. Z score 0 56.
Intersect the row and column from steps 1 and 2. Then we look up a remaining number across the table on the top which is 0 09 in our example. On some z tables you will find that the area corresponding to 1 09 z score is 0 3621. Z score x µ σ. Using the above data we need to first standardize his score and use the respective z table before we determine how well he performed compared to his batch mates.
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