The percentage of the data values would you expect to fall between
50 and 58 is 34%
Step-by-step explanation:
The given is:
1. The mean value is 50
2. The standard deviation is 8
3. The data values fall between 50 and 68
To find the percentage of the data values would fall between 50
and 58, convert 50 and 58 into z-score using the formula
z = (x - μ)/σ, where x is the score, μ is the mean and σ is the
standard deviation, and use the normal distribution table of z to find
the area between the two z-values
∵ μ = 50 , σ = 8
∵ x = 50
∴ z = [tex]\frac{50-50}{8}[/tex] = 0
- The corresponding area of z = 0 is 0.50000
∵ x = 58
∴ z = [tex]\frac{58-50}{8}[/tex] = [tex]\frac{8}{8}[/tex] = 1
- The corresponding area of z = 1 is 0.84134
∴ The area between two z-score = 0.84134 - 0.50000 = 0.34134
∴ P(50 < x < 58) = 0.34134 × 100% = 34.134% ≅ 34%
The percentage of the data values would you expect to fall between
50 and 58 is 34%
Learn more:
You can learn more about data set in brainly.com/question/6105786
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