新GRE數學考試的考點有很多,標準偏差和排列組合是其中的兩個考點,為了幫助大家更好的掌握這兩個考點,下面小編就給大家簡單解析一下這兩個新GRE數學的考點。
本文為大家介紹了新GRE數學考試中標準偏差和排列組合的相關內容,希望對大家備考新GRE數學有一定的參考作用!
一、新GRE考試數學考點簡析之標準偏差(standard deviation)
standard deviation等于standard variation的平方根
GRE經常讓你比較眾數或中數與數的個數的乘積和這組數的和的大小,可以舉幾個極限情況的例子驗證一下。還有一種題型是給你兩組數的平均值,方差,比較他們的中數大小;要注意中數的大小和那兩個值是沒有必然聯系的,無法比較。
二、新GRE考試數學考點簡析之排列組合
Set
A set is a collection of objects or things. Each object in a set a member or element of that set.Size of a set is the number of members in the set.
Example:
The set of even numbers between 2 and 10 is of size 5:{2,4,6,8,10}.
The set of primes between 2 and 10 is of size 4:{2,3,5,7}.
Remember:
Each member of set A belongs to A or is in the set A.
A set can not have repeating member:{1,3,1,2}is not a set.
Rearranging the order of the members does not change the set:{1,2,3}is same as{3,2,1}.
Combinations
Number of ways we can select n objects from a group of m distinct objects is m!/(n!*(m-n)!).
Example:
Number of possible ways to pick 4 oscar nominations from a list of 50 movies is 50!/(4!*(50-4)!)=50!/(4!*46!)=50*49*48*47/24=230300.
Remember:
This does not apply if there are identical objects.
Permutation of Objects
The number of ways n distinct objects can be ordered is n!.
Example:
Number of ways 6 people can from a queue is 6!.
Number of ways 5 different cars can be parked in 5 parking spaces is 5!.
Remember:
This does not apply if there are identical objects or ordering does not matter.
n. 變化,變動,變種,變奏曲