Mean, Median, Mode & Range
Find the mean of the following set:
{8, 2, 4, 7, 4}
To find the mean (or average), add all the numbers in the set, then divide by the total number of terms in the set.
8 + 2 + 4 + 7 + 4=25
25/5 = 5 (There are 5 numbers in the set)
The mean is 5
455 ÷ ____ = 7
65
We have to find the number, which when multiplied with 7 gives 455.
Some number x 7 = 455 or Number = 455 ÷ 7. Use the standard long division algorithm to get the answer: 65
What are the common factors of 8 and 12?
1, 2, 4
List all the factors of both numbers:
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12
So the common factors are 1, 2, and 4.
Which of these statements are true of the number 17?
A) It is a factor of 17.
B) It is a multiple of 17.
C) It is prime.
D) All of the above are true.
D
What is the atomic symbol for Sodium?
Na
What is the median of the following set of numbers?
{16, -10, 13, -8, -1, 5, 7, 10}
6
To find the median, rearrange the numbers in the data set from least to greatest.
{16, -10, 13, -8, -1, 5, 7, 10}
-10, -8, -1, 5, 7, 10, 13, 16
Because this set has an even number of terms, add the two middle numbers together and divide by 2.
5 + 7 = 12
12/2 = 6
6 is the median.
A classroom needs 3,200 paper clips for a project. If there are 200 paper clips in a package, how many packages will they need in all?
16
Number of packages (let's call it "n") = Total number of clips required ÷ number of clips in one package
n = 3200 ÷ 200
n = 16
What is the least common multiple of 16 and 24?
48
To find the the LCM, list the first few multiples of each number:
16: 16, 32, 48, 64
24: 24, 48, 72
48 is the least multiple that is common to both lists.
What are the single digit prime numbers?
1, 2, 3, 5, and 7
Write 3/4 (three-fourth) as a decimal.
0.25
Kylia has to travel to work. In one week, she traveled all five days. The shortest distance she traveled was 63 miles. The range of miles that she traveled was 98 miles. What is the longest distance that Kylia traveled for work in one week?
161
To find the longest distance Kylia traveled, add the shortest distance to the range.
63+98 = 161
A marching band wants to raise $20,000 at its annual fundraiser. If they sell tickets for $20 a piece, how many tickets will they have to sell?
1,000
20000/20
Find the Greatest Common Factor of 42 and 56.
14
List all the factors of both numbers:
42: 1, 2, 3, 6, 7, 14, 21, 42
56: 1, 2, 4, 7, 8, 14, 28, 56
14 is the greatest factor they have in common.
Which of the following sets below contains only prime numbers?
A) 7, 11, 49
B) 7, 37, 51
C) 7, 23, 47
D) 2, 29, 93
C
A prime number is a whole number (greater than 1) which is divisible by only 1 and itself. The set {7, 23, 47} contains numbers which fit the definition stated above.
Select the questions that qualify as statistical questions. Choose all that apply.
A) How many letters are in my last name?
B) How many letters are in the last names of the students in my 6th grade class?
C) What are the colors of the shoes worn by the students in my class?
D) What are the heart rates of the students in the 6th grade class?
E) How many hours of sleep per night do 6th graders usually get when they have school the next day?
B, C, D, & E
A statistical question is one that can be answered by collection data that vary (i.e. not all of the data values are the same)
Bubba is a shrimp fisherman. In one month, Bubba gets a maximum of 280 pounds of shrimp. The minimum that Bubba gets is half of his maximum. What is the range in the pounds of shrimp that Bubba gets?
140
To find the range, subtract the smallest number from the largest number. The largest number is 280. The smallest number is half of 280 -> 280/2 = 140
Range = 280-140=140
34,992 ÷ 81 =
432
Fill in the blank.
The Greatest Common Factor of 24, 36, and 48 is ____.
The common factors of 24, 36, and 48 are:
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Hence, the GCF is 12.
What is the prime factorization of 110?
2 x 5 x 11
Known as the "Creole Goddess," this St. Louis native was a celebrated dancer and civil rights activist as well as a French spy during World War II
Josephine Baker
Connie has to travel for work. In one week, she traveled all five work days. The shortest distance she traveled was 63 miles. The range of miles that she traveled was 98 miles. What is the longest distance that Connie traveled for work in one week?
161 miles
To find the longest distance Connie traveled, add the shortest distance to the range.
63 + 98 = 161
A homebuilder is putting new shelves in each closet he is building. He has 2,592 shelves in his inventory. If each closet needs 108 shelves, how many closets can he build?
24
Number of closets that can be built (Let's call it "n") = Total number of shelves ÷ number of shelves in each closet
n = 2592 ÷ 108
n = 24
Office A's building complex and the school building next door have the same number of rooms. Office A's building complex has floors with 5 one-room offices on each, and the school building has 11 classrooms on each floor. What is the fewest number of rooms each building can have?
55 rooms
Find the LCM to both numbers, starting with the greatest number:
11: 11, 22, 33, 44, 55, 66, 77, 88, ...
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55
Stop when you get to the lowest multiple that is common to both. 55 is the LCM of the two numbers, so each building could have 55 rooms.
What is the prime factorization of 240?
2 x 2 x 2 x 2 x 3 x 5
or
24 x 3 x 5
This East St. Louis native was a track and field athlete who won multiple medals during her time as an Olympic Games competitor. She was voted "Greatest Female Athlete of All-Time" by "Sports Illustrated for Women" magazine and now serves as a philanthropist in East St. Louis
Jackie Joyner-Kersee