Suppose the heights of women at a college are approximately Normally distributed with a mean of 64 inches and a population standard deviation of 2.5 inches. What height is at the 40th percentile? Include an appropriately labeled sketch of the Normal curve to support your answer. The 40th percentile is inches. (Round to one decimal place as needed.) Choose the correct graph below. O A. О в. Oc. OP. -3 -3 Z-score Z-score Z-score Z-score

Suppose the heights of women at a college are approximately Normally distributed with a mean of 64 inches and a population standard deviation of 2.5 inches. What height is at the 40th percentile? Include an appropriately labeled sketch of the Normal curve to support your answer. The 40th percentile is inches. (Round to one decimal place as needed.) Choose the correct graph below. O A. О в. Oc. OP. -3 -3 Z-score Z-score Z-score Z-score

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

The 40th percemtile is ___ inches.

Suppose the heights of women at a college are approximately Normally distributed with a mean of 64 inches and a population standard deviation of 2.5 inches. What height is at the 40th percentile? Include an appropriately labeled sketch of
the Normal curve to support your answer.
The 40th percentile is
inches.
(Round to one decimal place as needed.)
Choose the correct graph below.
OA.
о в.
Oc.
OD.
-3
-3
z-score
Z-score
Z-score
Z-score

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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