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Data on Dentary Depth (mm) of Molars Data on Dentary Depth (mm) of Molars 18.19 19.46 19.37 15.94 15.82 19.76 15.78 17.08 13.99 16.56 15.72 17.83 13.22 16.11 18.20 14.04 14.06 16.23 Print DoneScore: 0 of 1 pt 8 of 20 (11 complete) ▼ Hw Score: 46.54%, 9.31 of 20 pts 2.3.65 Ξ Questi on Help A study examined the characteristics of cheek teeth (e.g., molars) in an extinct primate species. The data on dentary depth of molars (in millimeters) for 18 cheek teeth extracted from skulls are reproduced in the accompanying table below. Complete parts a through c below. Click the icon to view the table. a. Find and interpret the mean of the data set. If the largest depth measurement in the sample were doubled, how would the mean change? Would it increase or decrease? O A. The mean is (Round to one decimal place as needed.) O B. The data set does not contain a mean.

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Answer #1

The formula of mean( ar x ) is as follows:

ar x=rac{sum_{i=1}^{n}x_{i}}{n}

From the given data set , we get sum of all values as :

Στ = 297.36 に!

n = 18

297.3616.52 18

So mean = ar x = 16.52

here mean = 16.52 which is not contain in the given data set.

If largest value in the data set is double then sum of the values also increases and so mean also increase than the original mean.

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