# Question: One property of the mean is that if we know

One property of the mean is that if we know the means and sample sizes of two (or more) data sets, we can calculate the combined mean of both (or all) data sets. The combined mean for two data sets is calculated by using the formula

Where n1 and n2 are the sample sizes of the two data sets and 1 and 2 are the means of the two data sets, respectively. Suppose a sample of 10 statistics books gave a mean price of $140 and a sample of 8 mathematics books gave a mean price of $160. Find the combined mean.

Where n1 and n2 are the sample sizes of the two data sets and 1 and 2 are the means of the two data sets, respectively. Suppose a sample of 10 statistics books gave a mean price of $140 and a sample of 8 mathematics books gave a mean price of $160. Find the combined mean.

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

Twenty business majors and 18 economics majors go bowling. Each student bowls one game. The scorekeeper announces that the mean score for the 18 economics majors is 144 and the mean score for the entire group of 38 students ...Seven airline passengers in economy class on the same flight paid an average of $361 per ticket. Because the tickets were purchased at different times and from different sources, the prices varied. The first five passengers ...The range, as a measure of spread, has the disadvantage of being influenced by outliers. Illustrate this with an example. Refer to Exercise 3.20, which listed the number of colors of M&Ms that each of the 14 Fun Size bags contained. Those data are reproduced here: Calculate the range, variance, and standard deviation. The following data represent the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final eight teams in the 2011 NCAA Menâ€™s Basketball Championship. The data represent the 2011 salaries of ...Post your question