Eye Measurement Statistics The listed sample distances (in millimeters) were obtained by using a pupilometer to measure the distances between the pupils of adults

(based on data collected by a student of the author).

67 66 59 62 63 66 66 55

a. Find the mean of the distances in this sample.

b. Find the median of the distances in this sample.

c. Find the mode of the distances in this sample.

d. Find the standard deviation s of this sample.

e. Convert the distance of 59 mm to a z score.

f. Find the actual percentage of these sample values that exceed 59 mm.

g. Assuming a normal distribution, find the percentage of population distances that exceed 59 mm. Use the sample values of and s as estimates of m and s.

h. What level of measurement (nominal, ordinal, interval, ratio) describes this data set?

i. The listed measurements appear to be rounded to the nearest millimeter, but are the exact unrounded distances discrete data or continuous data?