7. In 1789, Henry Cavendish estimated the density of the earth (see for example

Question

7. In 1789, Henry Cavendish estimated the density of the earth (see for example the web site htt ien wikipe dia.org/wiki/Henry Cavendish) by using a torsion balance. The data (measurements are expressed as a multiple of the density of water), descriptive statistics of his 29 measurements are as follows. Density 5.50 5.30 5.47 5.10 5.29 5.65 5.55 5.61 5.75 5.63 5.27 544 557 5.36 4.88 5.86 5.34 5.39 5.34 5.53 5.29 4.07 5.85 5.46 5.42 5.79 5.62 5.58 5.26 Descriptive Statistics: Density Variable N Mean SE Mean StDev 01 Density 29 5.4197 0.0629 0.3389 5.2950 5.6150 5.8600 For some reason one observation is removed which gives a new set of descriptive statistics with 28 instead of 29 observations. The information is given below Descriptive Statistics: Density Variable N Mean SE Mean StDev 1 3 Maximum Density 28 5.4679 0.0419 0.2219 5.3100 5.6175 5.8600 Which observation of the density data was removed? Show work!

Explanation / Answer

Formula used in this problem

sum of given numbers = n * mean

Sum of 29 numbers = 29 * 5.4197 = 157.17

sum of 28 numbers = 28 * 5.4679 = 153.10

So removed number = 157.17 - 153.10 = 4.07

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