Find the Z score for the weights of Middle school boys which are approximately Normal, mean = 130 lbs, Standard Deviation = 7, if Johnny weighs 148 lbs, What's his Z score?

Well, it looks like Johnny is carrying some extra weight! Let's calculate his Z score and see how much he stands out.

To find the Z score, we use the formula:

Z = (X - μ) / σ

Where X is Johnny's weight, μ is the mean weight, and σ is the standard deviation.

Plugging in the values, we get:

Z = (148 - 130) / 7

Calculating that, we end up with a Z score of approximately 2.57.

So, Johnny's weight of 148 lbs puts him about 2.57 standard deviations above the mean weight of middle school boys. Looks like he's really "weighting" his chances of being a heavyweight champion!

To find the Z score for Johnny's weight, we'll use the formula:

Z = (x - μ) / σ

Where:
- x is Johnny's weight (148 lbs)
- μ is the mean weight (130 lbs)
- σ is the standard deviation (7)

Plugging in the values into the formula:

Z = (148 - 130) / 7

Simplifying:

Z = 18 / 7

Z ≈ 2.57

Therefore, Johnny's Z score is approximately 2.57.

To find Johnny's z-score, you need to use the formula:

z = (x - μ) / σ

Where:
- z is the z-score
- x is Johnny's weight (148 lbs)
- μ is the mean weight of Middle school boys (130 lbs)
- σ is the standard deviation of the weights (7 lbs)

Now, let's substitute the values into the formula:

z = (148 - 130) / 7

Performing the calculation:
z = 18 / 7

Simplifying:
z ≈ 2.57

Therefore, Johnny's z-score is approximately 2.57.