Introduction to Statistics / MAT300 SPRING 2014 - Estimating the standard deviation of grouped data

Introduction to Statistics / MAT300 SPRING 2014 

1.Estimating the standard deviation of grouped data

"Senioritis" is a temporary, non-fatal illness afflicting thousands of high school and college seniors every year. Its chief symptom is a desire to be doing anything but schoolwork.

A possible measure of the overall senioritis in a high school senior class is the percentage of seniors who miss school on "senior skip day." The  histogram below summarizes some "senior skip day" attendance data from the past 24 years for one high school. Given on the horizontal axis of the histogram is the percentage of seniors who actually missed school on "senior skip day."

Based on this histogram, estimate the  standard deviation of the  sample of 24 percentages. Carry your intermediate computations to at least four decimal places, and  round  your answer to at least one decimal place.

(If necessary, consult a list of formulas.)