Question

Bob gets the following homework grades:

2, 2, 2, 2, 2, 10, 10, 10, 10, 10.

Tom gets the following homework grades:
7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Pat gets the following homework grades:

1, 1, 8, 8, 8, 8, 8, 8, 10, 10

Required:
Find the mean homework grade for each student, find the median homework grade for each student, and ESTIMATE the standard deviation for each student.

Answer 1

Explanation:

for bob;

his grades = 2, 2, 2, 2, 2, 10, 10, 10, 10, 10.

total = 60

mean = total/n

= 60/10 = 6

meadian is the middle value in the set of scores. the numbers are even so =

2+10 / 2

median = 12/2 = 6

standard deviation using excel = 4.216

for tom

7, 7, 7, 7, 7, 7, 7, 7, 7, 7

total = 70

mean = 70/10 = 7

median = 7+7/2 = 14/2 = 7

standard deviation using excel = 0

for pat:

1, 1, 8, 8, 8, 8, 8, 8, 10, 10

total = 70

mean = 70/10 = 7

median = 8+8/2 = 16/2 = 8

standard deviation using excel = 3.265