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Shown Below Are the Boxplot and the Histogram for the Highest

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Shown below are the boxplot and the histogram for the highest temperatures ever recorded (in °F) in 32 different states in the U.S.A. Shown below are the boxplot and the histogram for the highest temperatures ever recorded (in °F) in 32 different states in the U.S.A.    i) What features of the distribution can you see in both the histogram and the boxplot?  ii) What features of the distribution can you see in the histogram that you could not see in the boxplot? A) i) The distribution is highly skewed to the right,with two outliers at 128°F and 134°F.Most high temperatures are between 105°F and 129°F. ii) When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. B) i) The distribution is highly skewed to the left,with an outlier at 134°F.Most high temperatures are between 108°F and 130°F. ii) When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. C) i) The distribution is fairly symmetric,with no outliers.Most high temperatures are between 99°F and 117°F. ii) When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. D) i) The distribution is highly skewed to the right,with an outlier at 134°F.Most high temperatures are between 105°F and 129°F. ii) When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot. E) i) The distribution is fairly symmetric,with an outlier at 134°F (although this value is only obvious from the boxplot) .Most high temperatures are between 107°F and 118°F. ii) When looking at the histogram,the distribution appears to be bimodal.This is not obvious from the boxplot.
i) What features of the distribution can you see in both the histogram and the boxplot?
ii) What features of the distribution can you see in the histogram that you could not see in the boxplot?

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Definitions:

Classification

The systematic process of organizing or categorizing items, ideas, or information based on shared characteristics or principles.

Piaget's Conservation Task

A type of task designed by Jean Piaget to assess a child's ability to recognize that certain properties of objects remain the same even when their appearances change.

Decentration

The cognitive ability to consider multiple aspects of a situation instead of focusing on a single viewpoint, a concept often discussed in developmental psychology.

Conservation of Number

A concept in cognitive development that reflects a child's ability to understand that the quantity of a set of items remains the same regardless of how they are arranged.

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