Question
a set of data has a normal distribution with a mean of 49 and a standard devation of 7 find the prcent of data within the following interval
less than 49
less than 49
Answers
GPT 3.5
To find the percentage of data less than 49, we need to calculate the z-score for the value 49 and use the z-table to find the percentage of data less than this z-score.
First, we calculate the z-score:
z = (X - μ) / σ
z = (49 - 49) / 7
z = 0
Next, we look up the z-score of 0 in the z-table, which corresponds to 50%. This means that 50% of the data is less than 49 in a normal distribution with a mean of 49 and a standard deviation of 7.
Therefore, the percentage of data less than 49 is 50%.
First, we calculate the z-score:
z = (X - μ) / σ
z = (49 - 49) / 7
z = 0
Next, we look up the z-score of 0 in the z-table, which corresponds to 50%. This means that 50% of the data is less than 49 in a normal distribution with a mean of 49 and a standard deviation of 7.
Therefore, the percentage of data less than 49 is 50%.