A positive z-score indicates that the raw score is greater than the mean average. For example, if the z score is equal to 2, it means that it is two standard deviations above the mean.
can there be a positive z score?
There can be a positive z score. The positive score will depict it is above the mean. Notably, any score with a value greater than the population mean will have a positive z-score.
how to find z score of a positive number (with examples)
we can find the z score of a positive number from the positive z score table.
Examples of z score of a positive number.
The z score of positive 1
A z score of 1 means that the data point is exactly one standard deviation above the mean. Z score of positive one will be;
The z score of positive 1 is 0.84134
z score of positive 2
A z score of positive 2 means that the data point is exactly two standard deviations above the mean. Z score of 2 or positive 2 will be;
The z score of positive 2 is 0.97725
How to read the positive z score table list
To read the positive z score table list, we look up the z value from the row edge then the second-place value is checked on the column on the top. (Click here) for a guide on reading and using the positive z score value on the table list
Calculating the probability of a positive z score
By examining the z score values and area from the z score table, we can compute the probability of a positive z score. For example, In a mathematics test, the average score was 65 with a standard deviation of 10. If Wayne scored 79.5. Calculate the probability of students who scored a higher score than Wayne.
We first find the z score and then calculate the percentage.
The z score will be;
To find the probability, we check on the positive z score table for the value of 1.45
The probability will be 0.92647 which represents 92.65% of the students lie in this area.
How to interpret positive z score
The z score indicates how many standard deviations a value is from the mean. Assume the raw score is greater than the mean average when the z-score is positive. For instance, z-score of 2 shows that the data is two standard deviations above the mean.
what does a positive z score mean?
A positive z-score depicts that the raw score (x) is above the mean of the data point. For example, if the raw score is 87.5, the standard deviation is 9, and the mean of the data is 70. The z score will be;
The 1.94 z score means that the score is tentatively two standard deviations above the mean.