4. Draw a histogram for the data. Does the distribution appear to be bell-shaped?

5. What percent of the distribution lies within one standard deviation of the mean?Within two standard deviations of the mean? How do these results agree with theEmpirical Rule?

In Exercises 6–8, use the frequency distribution found in Exercise 3.

6. Use the frequency distribution to estimate the sample mean of the data. Compare yourresults with Exercise 1.

7. Use the frequency distribution to find the sample standard deviation for the data.Compare your results with Exercise 2.

8. Writing: Use the results of Exercises 6 and 7 to write a general statement about themean and standard deviation for grouped data. Do the formulas for grouped data giveresults that are as accurate as the individual entry formulas?

Dairy Farmers of America is an association that provides help to dairy farmers. Part of this help is gathering and distributing statistics on milk production. MONTHLY MILK PRODUCTION The following data set was supplied by a dairy farmer. It lists the monthly milk productions (in pounds) for 50 Holstein dairy cows. (Source: Matlink Dairy, Clymer, NY) 2825 4285 1258 2597 1884 3109 2207 3223 2711 2281 2072 2862 2982 3512 2359 2804 2882 2383 1874 1230 2733 3353 2045 2444 2046 1658 1647 1732 1979 1665 2069 1449 1677 1773 2364 2207 2051 2230 1319 1294 2484 2029 1619 2284 2669 2159 2202 1147 2923 2936 EXERCISES In Exercises 1-4, use a computer or calculator. If possible, print your results. 1. Find the sample mean of the data. 2. Find the sample standard deviation of the data. 3. Make a frequency distribution for the data. (Use a class width of 500.) Activate Wir