The mean of four numbers is 12' When the greatest number is removed, the mean of the remaining numbe

1
The mean of four numbers is 12. When the
greatest number is removed, the mean of the
remaining numbers is 9. What number was removed?
2
The exam grades of a math class were arranged in
a stem-and-leaf plot. What is the mean of the
median and mode of the given data? 4 1 5 2 6
7 8 8 7 1 1 2 3 3 3 5 6 8 8 0 4
4 6 6 6 6 8 9 1 3 5 5 7 Key 4
3 43
3
Sarah will have seven test scores. Each of the
scores is an integer value. The first five
scores are 82, 87, 92, 96 and 98. How many
distinct values are possible for the median of
Sarahs seven scores once she takes the last two
tests?
4
A collection of seven positive integers has
median 3 and unique mode 4. If the collection
has two 2s added to it, the median and unique
mode are then both 2. What is the mean of the
new collection? Express your answer as a common
fraction.
5
The mean of the set 90, 85, 95, x, 88, 94 is
90. What is the value of x?
6
On three tests, Molly scored 84, 83, and 91. On
the same three tests Milly scored 86, 87, and 88.
What is the positive difference between their
average scores?
7
From 11 positive integer scores on a 10 point
quiz, the mean is 8, the median is 8, and the
mode is 7. Find the maximum number of perfect
scores possible.
8
The mean of four numbers is 70. When a fifth
number is added, the mean decreases to 60. What
is the fifth number?
9
Thirty-six students took a final exam on which
the passing score was 70. The mean score of
those who passed was 78. The mean score of those
who failed was 60, and the mean of all scores was
71. How many students did not pass the exam?
10
The mean of the 20 positive integers x, x, x, x,
x, x, x, x, x, x, x, x, x, x, x, x, x, x, y, y
is 8, and x and y are not equal. What is the
minimum possible value of x y?
11
The mean of 10 consecutive even integers is 3.
What is the least of these 10 even integers?