The box plot below summarizes the heights (in centimeters) of a sample of 200 3-year-old males in the United States. Which of the following statements is false? (A) 50% of the children in the sample had heights between 93 and 98 cm. (B) 25 children had heights greater than 98 cm. (C) The 25th percentile in this sample is a height of 93 cm. (D) The tallest child in this sample was 111 cm tall. (E) Every child in the sample was at least 82 cm tall.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The box plot below summarizes the heights (in centimeters) of a sample of 200 3-year-old males in the United States. Which of the following statements is false?
- (A) 50% of the children in the sample had heights between 93 and 98 cm.
- (B) 25 children had heights greater than 98 cm.
- (C) The 25th percentile in this sample is a height of 93 cm.
- (D) The tallest child in this sample was 111 cm tall.
- (E) Every child in the sample was at least 82 cm tall.
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