In: Statistics and Probability
The female students in an undergraduate engineering core counse at ASU self-reported their heights to the nearest inch. The data (sample) follow.
(a) Find the mean, mode, median, variance, standard deviation, Q1, and Q3 of the data.
(b) Construct a frequency table with 6 classes.
(c) Using the grouped data formula, find the mean, mode, median, variance, standard deviation, Q1, and Q3 for the table in part (b).
(d) Find a 95% confidence interval for the population mean μ.
(e) Find a 95% confidence interval for the population standard deviation σ.
Solution
(a) Find the mean, mode, median, variance, standard deviation, Q1, and Q3 of the data.
(b) Construct a frequency table with 6 classes.
(c) Using the grouped data formula, find the mean, mode, median, variance, standard deviation, Q1, and Q3 for the table in part (b).
(d) Find a 95% confidence interval for the population mean μ.
(e) Find a 95% confidence interval for the population standard deviation σ.