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Example: 10, 11, 12, 16, 9, 11, 13, 6

Mean: average of the set of data. Add all the numbers. Divide that number by the number of terms in the set. Median : middle number. Line the numbers up from least to greatest. Median is the middle number. If there are two middle numbers, add them together and divide by two.

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Example: 10, 11, 12, 16, 9, 11, 13, 6

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  1. Mean: average of the set of data. Add all the numbers. Divide that number by the number of terms in the set. • Median: middle number. Line the numbers up from least to greatest. Median is the middle number. If there are two middle numbers, add them together and divide by two. • Mode: the number that occurs the most frequently. There can be more than one • Range: subtract the smallest number from the largest. • Example: 10, 11, 12, 16, 9, 11, 13, 6 • Mean: 10 + 11 + 12 + 16 + 9 + 11 + 13 + 6 = 82; 88 divided by 8 = 11. The mean is 11 • Median: 6, 9, 10, 11, 11, 12, 13, 16. 11 and 11 are the middle numbers. 11 + 11= 22. 22 divided by 2 = 11. 11 is the median • Mode: 11, because there are two 11s • Range: 16 – 6 = 10. 10 is the range.

  2. Categorical v. Numerical Numerical data: data that is a number. Examples: how many pets do you have? How many silly bands? If the answer is a number, the data is numerical Categorical data: data that is NOT a number. Examples: what is your favorite color? Where do you go on vacation? If the answer is not a number, the data is categorical.

  3. Factors: A number may be made by multiplying two or more other numbers together. The numbers that are multiplied together are called factors of the final number. 1 is a factor of every number because 1 can be multiplied by a number to get that number. 1 X 15 = 15 Examples a) Factors of 15: 1, 3, 5, 15 b) Factors of 20: 1, 2, 4, 5, 10, 20 PRIME FACTORS: Primes are numbers that cannot be divided any further. "Prime Factorization" is finding which prime numbers multiply together to make the original number. You find prime factors using a factor tree:

  4. You must list primes in order from least to greatest. • You keep factoring until all the factors are prime • When you get the prime factors – they should multiply together to get the original number. • Example: Prime factors for 8: 2 x 2 x 2 = 8! • Tree method • Start with the number you want to factor • Pick any two factors (these are your first limbs to the tree) • If the factor is prime, circle it. • If the factor is not prime, keep making limbs until there are only prime numbers left. • The circled numbers are the prime factors • Exponents • Two parts • Base and exponent • Exponent tells you how many times to multiply the base by itself. • Anything raised to the 1 = itself • Anything raised to the 0 = 1

  5. Unit 2 Notes - GCF – Greatest Common Factor Factors shared by two or more whole numbers are called common factors. The largest of the common factors is called the greatest common factor, or GCF. METHOD 1: LIST ALL THE FACTORS AND FIND THE GREATEST. Factors of 24: ___, ____, ____, ____, ____ , ____, ____, ____, Factors of 36: ___, ____, ____, ____, ____ , ____, ____, ____, ____ Common factors: ___, ____, ____, ____, ____ , ____, The greatest common factor (GCF) of 24 and 36 is 12.

  6. Example word problem: Jenna has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make? KEY WORDS FOR GCF: greatest, most, biggest, largest GCF IS ON THE LEFT. LCM IS ALL OF THEM.

  7. Example word problem LCM: What is the smallest way you could divide 8 cookies, 6 brownies and 12 cupcakes? KEY WORDS FOR LCM: least, smallest, fewest, littlest

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