Question

1. There are 2.54 centimeters in an inch, so you are converting the units from inches to centimeters. The average height of a sample of basketball players is 6 feet, 2 inches or 74 inches. The standard deviation of this sample of players is 2.8 inches. If each person's height were to be multiplied by 2.54 to be height in centimeters, what would be the resulting sample variance of the height in centimeters? 2. The heights (at the shoulders) of 5 dogs are: 600, 470, 370, 430, 380, 410, 460 and 300mm. Find out the mean, the median, and the sample standard deviation of the heights. 3. The grades for a course have a histogram below: 20 15 10 The distribution is skewed to The median is Which one, mean or the median is preferred to summarize the grades? (The left, the right) (greater, smaller ) than the mean.

Answer 1

1)

resulting sample variance =(2.54)²*sample variance in inches=2.54²*2.8=18.064

2)

putting above in ascending order:

from above

mean =445.71

median =middle value =4th value =430

std deviation77.64

3)

skewed to the left

the median is greater then the mean

median is preferred