a vertical line is drawn through a normal distribution so that 47.5%
in Statistics Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

...of the area under the curve lies to the left of the line? Assuming this is what the question is asking for, the z score of 0, the mean, is a vertical line which equally divides the area under the distribution curve corresponds to 50% or 0.5. So 47.5% is a little to the left of z=0, so z<0. Therefore, we need to know the value of z 2.5% below the mean. The table gives z=-0.0628 approx. by extrapolation. This means that a data value is 0.0628 standard deviations below the mean. The area to the left of the line represents the cumulative probability (47.5%) of scores below the data value, the proportion of data in the distribution lying at or below the data value.

 

by Top Rated User (1.1m points)

Related questions

0 answers
asked Apr 12, 2013 in Statistics Answers by anonymous | 1.5k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,550 questions
99,628 answers
2,417 comments
440,891 users