The histogram below summarizes the responses of 132 college

The histogram below summarizes the responses of 132 college students to the question, ^\'\'How much sleep (in hours) did you get last night?^\'\' Note that each bar represents an additional half an hour of sleep, e.g. the first 3 bars show that 1% of students got 2 hours of sleep, 1% got 2.5 hours of sleep, and 1% got 3 hours of sleep, while the next bar shows that 2% of students got 4 hours of sleep. To covert the percentages shown on the y-axis to proportions, simply move the decimal space two places to the left. For example, 45% = 0.45. 1) The data type and level can be classified as: Quantitative & continuous 2) What does the y-axis of this histogram measure? Relative frequency 3) The most frequently reported value (i.e. the mode) for the amount of sleep a student got the previous night is: 7.0 4) The proportion of students in this sample who had the amount of sleep reported in problem 3 is: 0.225 5) The approximate number of students in the sample who reported at least 5.25 hours of sleep the previous night is: 18

Solution

the number of students who slept atleast 5.25 hours is the cumulative sum of percentage bars starting from 5.25 and to end

=>

3.5% + 21% + 4.5% + 22.5% + 4.5% + 7.5% + 3.5% + 12% + 3.5% + 1%

=83.5%