A survey of enrollment at 35 community colleges across the United States yielded the following figurest. 6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622 Part (a) Organize the data into a chart with five intervals of equal width. Enrollment Frequency 0 - 6,000 6,001 - 12,000 12,001 - 18,000 18,001 - 24,000 24,001 - 30,000Part (b) Construct a histogram of the data. Frequency Frequency 15 15 10 10 5 5 Enrollment 0 O 6000 12 000 18 000 24 000 30 000 Enrollment O 6000 12000 18 000 24 000 30 000 Frequency Frequency 15 15 10 10 5 5 Enrollment 0 O 6000 12000 18 000 24 000 30 000 Enrollment O 6000 12 000 18 000 24 000 30 000If you were to build a new community college, which piece of information would be more valuable: the mode or the mean? 0 The mean, because there are no outliers in the data set. 0 The mode, because it is the number of students that enroll most often. Calculate the sample mean. (Round your answer to one decimal place.) Ems Calculate the sample standard deviation. (Round your answer to one decimal place.) A school with an enrollment of 7,225 would be how many standard deviations away from the mean? (Round your answer to two decimal places.) :l standard deviations