# Question: Henry Cavendish an English chemist and physicist 1731 1810 approached many

Henry Cavendish, an English chemist and physicist (1731–1810), approached many of his experiments using quantitative measurements. He was the first to accurately measure the density of the Earth. Following are 29 measurements (ranked for your convenience) of the density of the Earth done by Cavendish in 1798 using a torsion balance. Density is presented as a multiple of the density of water.

a. Describe the data set by calculating the mean, median, and standard deviation.

b. Construct a histogram and explain how it demonstrates the values of the descriptive statistics in part a.

c. Find the 5-number summary.

d. Construct a box-and-whiskers display and explain how it demonstrates the values of the descriptive statistics in part c.

e. Based on the two graphs, what “shape” is this distribution of measurements?

f. Assuming that Earth density measurements have an approximately normal distribution, approximately 95% of the data should fall within 2 standard deviations of the mean. Is this true?

a. Describe the data set by calculating the mean, median, and standard deviation.

b. Construct a histogram and explain how it demonstrates the values of the descriptive statistics in part a.

c. Find the 5-number summary.

d. Construct a box-and-whiskers display and explain how it demonstrates the values of the descriptive statistics in part c.

e. Based on the two graphs, what “shape” is this distribution of measurements?

f. Assuming that Earth density measurements have an approximately normal distribution, approximately 95% of the data should fall within 2 standard deviations of the mean. Is this true?

**View Solution:**## Answer to relevant Questions

Find the z-score for test scores of 92 and 63 on a test that has a mean of 72 and a standard deviation of 12. A sample has a mean of 120 and a standard deviation of 20.0. Find the value of x that corresponds to each of these standard scores: a. z = 0.0 b. z = 1.2 c. z = -1.4 d. z = 2.05 The empirical rule indicates that we can expect to find what proportion of the sample included between the following: The scores achieved by students in America make the news often, and all kinds of conclusions are drawn based on these scores. The ACT Assessment is designed to assess high school students’ general educational development ...a. Is the graph below a bar graph or a histogram? Explain how you determined your answer. b. The age grouping used in the “Clipping Coupons” graphic does not lead to a very informative graph. Describe how the age groups ...Post your question