# Question: The three data sets have the same mean and range

The three data sets have the same mean and range, but is the variation the same? Prove your answer by computing the standard deviation. Assume the data were obtained from samples.

a. 5, 7, 9, 11, 13, 15, 17

b. 5, 6, 7, 11, 15, 16, 17

c. 5, 5, 5, 11, 17, 17, 17

a. 5, 7, 9, 11, 13, 15, 17

b. 5, 6, 7, 11, 15, 16, 17

c. 5, 5, 5, 11, 17, 17, 17

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

The number of incidents in which police were needed for a sample of 10 schools in Allegheny County is 7, 37, 3, 8, 48, 11, 6, 0, 10, 3. Are the data consistent or do they vary? Explain your answer. Find the range, variance, ...The average teacher’s salary in a particular state is $54,166. If the standard deviation is $10,200, find the salaries corresponding to the following z scores. a. 2 b. – 1 c. 0 d. 2.5 e. –1.6 For the data in Exercise 18, find the approximate scores that correspond to these percentiles. a. 15th b. 29th c. 43rd d. 65th e. 80th Test Scores Find the percentile rank for each test score in the data set. The number of teacher strikes over a 13-year period in Pennsylvania is shown. Construct a boxplot for the data. Is the distribution symmetric?Post your question