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Q. 1 In 1798 the scientist Henry Cavendish used a torsion balance to estimate the density of the earth as a multiple of the density of water. He ran his experiment 29 times and obtained the following results: 5.505.575.425.615.535.474.88 5.625.634.07 5.29 5.34 5.26 5.44 5.46 5.55 5.345.30 5.36 5.79 5.75 5.29 5.10 5.86 5.58 5.275.85 5.655.39 a) Construct an appropriate stem-and-leaf plot of this data b) Describe the distribution of the dataset based on the stem-and-leaf plot. c) Calculate the mean and median of the dataset. Which do you think is the better measure of location for this dataset? Why? d) Calculate the 5% 10% and 20% trimmed means for this dataset. e) Calculate the inter-quartile range of the data.

Answer 1

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