Given a mean of 25 and a standard deviation of 2.3, what is the z-score of a data value of 29?
I don't understand the formula they gave me for the z-score, so I dunno where to start. /:
Was this the equation they gave you?
Z = (score-mean)/SD
Just insert values and solve for Z.
A car cost $20,100 with a standard deviation of $3500. The z score for the car is 2.3. What was the price of the car?
No worries! I can help you understand how to calculate the z-score. The z-score measures how many standard deviations a data value is away from the mean.
The formula for calculating the z-score is:
z = (x - μ) / σ
Where:
- z is the z-score
- x is the value you want to find the z-score for
- μ is the mean
- σ is the standard deviation
Now, let's calculate the z-score for a data value of 29, given a mean of 25 and a standard deviation of 2.3.
Using the formula, we substitute the values:
z = (29 - 25) / 2.3
Performing the calculation:
z = 4 / 2.3
Simplifying:
z ≈ 1.7391304348
So, the z-score for a data value of 29, with a mean of 25 and a standard deviation of 2.3, is approximately 1.739.
To calculate the z-score, you can use the following formula:
z = (x - μ) / σ
Where:
- z is the z-score
- x is the data value
- μ is the mean
- σ is the standard deviation
In this case, you have the mean (μ) of 25, the standard deviation (σ) of 2.3, and you want to find the z-score for a data value of 29.
Using the formula, you can plug in the given values:
z = (29 - 25) / 2.3
Now, let's calculate it:
z = 4 / 2.3
z ≈ 1.7391
So, the z-score for a data value of 29, with a mean of 25 and a standard deviation of 2.3, is approximately 1.7391.