A survey of enrollment at 35 community colleges across the United States yielded

Question

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 0 -6,000 6,001 12,000 12,001 - 18,0003 18,001 24,0002 24,001 30,000 Frequency 16 12 Part (b) Part (c) EPart (d) Calculate the sample mean. (Round your answer to one decimal place.) 8485.9 X students Part (e) Calculate the sample standard deviation. (Round your answer to one decimal place.) 6883.1 x students Part (f) A school with an enrollment of 13,500 would be how many standard deviations away from the mean? (Round your answer to two decimal places.) 7285 standard deviations

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

d) Sample mean = 8628.7

e) Sample standard deviation = 6943.9

f) Number of standard deviations = (13500 - 8628.7)/6943.9 = 0.70

Column Mean Std. dev. Data 8628.7429 6943.8845

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