4.4 Heights of adults: Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters (Heinz, 2003).Min147.2Q1163.8Median170.3Mean171.1SD9.4Q3177.8Max198.1d) The IQR extends from cm to cm, giving an IQR of cm.e) Is a person who is 1m 80cm (180cm) tall considered unusually tall? And is a person who is 1m 55cm (155cm) considered unusually short?We cannot tell from the given information No, they are not unusual since these heights are within two standard deviations of the mean Yes, they are unusual since these heights are more than two standard deviations away from the mean No people can come in all sizes, we cannot define usual or unusual heights f) The researchers take another random sample of physically active individuals. Would you expect the mean and standard deviation of the new sample to be the ones given above?Yes, the mean and standard deviation do not change just because of who we sampled No, the mean and standard deviation would not be the same, but should be close to those given above The mean and standard deviation from a new sample are likely to be drastically different from those given above

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Description: 4.4 Heights of adults: Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample di

Min 147.2 Q1 163.8 Median 170.3 Mean 171.1 SD 9.4 Q3 177.8 Max 198.1

Answered: d) The IQR extends from cm to cm,…

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4.4 Heights of adults: Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. The histogram below shows the sample distribution of heights in centimeters (Heinz, 2003).

Min	147.2
Q1	163.8
Median	170.3
Mean	171.1
SD	9.4
Q3	177.8
Max	198.1

d) The IQR extends from cm to cm, giving an IQR of

cm.

e) Is a person who is 1m 80cm (180cm) tall considered unusually tall? And is a person who is 1m 55cm (155cm) considered unusually short?

We cannot tell from the given information

No, they are not unusual since these heights are within two standard deviations of the mean

Yes, they are unusual since these heights are more than two standard deviations away from the mean

No people can come in all sizes, we cannot define usual or unusual heights

f) The researchers take another random sample of physically active individuals. Would you expect the mean and standard deviation of the new sample to be the ones given above?

Yes, the mean and standard deviation do not change just because of who we sampled

No, the mean and standard deviation would not be the same, but should be close to those given above

The mean and standard deviation from a new sample are likely to be drastically different from those given above

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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