Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. Do the results support or contradict the common belief that the mean body temperature is 98.6°F? 1 Click the icon for the body temperature data. 96.7 97.0 99.1 96.9 97.0 97.6 98.8 96.8 99.0 96.9 99.1 96.6 97.3 98.2 98.2 98.9 97.6 99.2 99.6 98.4 97.2 96.5 97.0 99.4 99.1 98.6 98.2 97.9 99.4 96.9 98.1 98.4 98.7 99.3 97.1 99.4 96.5 96.9 97.0 99.1 99.3 97.6 98.3 98.2 98.5 98.3 97.2 97.7 The mean of the data set is nothing°F. (Round to two decimal places as needed.) The median of the data set is nothing°F. (Type an integer or a decimal. Do not round.) Do the results support or contradict the common belief that the mean body temperature is 98.6°F? A. the results are inconclusive because the median body temperature is not equal to 98.6 f while the mean is approximately equal to 98.6 B. the results are inconclusive because the mean body temperature is not equal to 98.6 f while the median is approximately equal to 98.6 f C. the results contradict the belief that the mean body temperature is 98.6 f because both the mean and the median are less than 98.6 f D. the results support the belief that the mean body temperature is 98.6 f because both the mean and the median are equal to 98.6 f

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 25PFA

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Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculator to find the mean and median. Do the results support or contradict the common belief that the mean body temperature is

98.6°F?

Click the icon for the body temperature data.

96.7
97.0
99.1
96.9
97.0
97.6
98.8
96.8
99.0
96.9
99.1
96.6
97.3
98.2
98.2
98.9
97.6
99.2
99.6
98.4
97.2
96.5
97.0
99.4
99.1
98.6
98.2
97.9
99.4
96.9
98.1
98.4
98.7
99.3
97.1
99.4
96.5
96.9
97.0
99.1
99.3
97.6
98.3
98.2
98.5
98.3
97.2
97.7

The mean of the data set is

nothing°F.

(Round to two decimal places as needed.)

The median of the data set is

nothing°F.

(Type an integer or a decimal. Do not round.)

Do the results support or contradict the common belief that the mean body temperature is

98.6°F?

A. the results are inconclusive because the median body temperature is not equal to 98.6 f while the mean is approximately equal to 98.6

B. the results are inconclusive because the mean body temperature is not equal to 98.6 f while the median is approximately equal to 98.6 f

C. the results contradict the belief that the mean body temperature is 98.6 f because both the mean and the median are less than 98.6 f

D. the results support the belief that the mean body temperature is 98.6 f because both the mean and the median are equal to 98.6 f

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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