Question

In a bid to establish the hourly rate of pay received by 100 students on work experience, you group your findings as follows: Hourly Salary € Frequency 10 but less than 30 11 30 but less than 40 17 40 but less than 60 36 60 but less than 80 20 80 but less than 120 16 (i) Find the mean and standard deviation hourly wage (ii) Draw a histogram of this data and find the modal salary (iii) Draw a percentage less than ogive and find the median and quartile deviation (iv) If this is a sample of 100 students, find a 95% confidence interval for the mean wage of ALL students. (v) Find a confidence interval [99%] for the proportion of students that earn less than €40 per hour.

          In a bid to establish the hourly rate of pay received by 100 students on work experience, you group your findings as follows:
Hourly Salary € Frequency
10 but less than 30 11
30 but less than 40 17
40 but less than 60 36
60 but less than 80 20
80 but less than 120 16
(i) Find the mean and standard deviation hourly wage
(ii) Draw a histogram of this data and find the modal salary
(iii) Draw a percentage less than ogive and find the median and quartile deviation
(iv) If this is a sample of 100 students, find a 95% confidence interval for the mean wage of ALL students.
(v) Find a confidence interval [99%] for the proportion of students that earn less than €40 per hour.

Added by Lourdes M.

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