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ACT 数学と評価 - 算術と統計

ここでは、ACT のエースに役立つ「推定」、「中央値」、「割り算」など、算術と統計に関連するいくつかの英単語を学びます。

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ACT Vocabulary for Math and Assessment
integer

any number without fractions or decimals, including positive numbers, negative numbers, and zero

整数, インテジャー

整数, インテジャー

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[名詞]
fraction

a part of a whole number, such as ½

分数

分数

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[名詞]
decimal

(mathematics) a number less than one, called a fraction, that is represented as a period followed by the number of tenths, hundredths, etc.

小数, 小数点以下

小数, 小数点以下

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[名詞]
mean

(mathematics) the average value of a set of quantities calculated by adding them, and dividing them by the total number of the quantities

平均(へいきん), 平均値(へいきんち)

平均(へいきん), 平均値(へいきんち)

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[名詞]
average

calculated by adding a set of numbers together and dividing this amount by the total number of amounts in that set

平均の, アベレージの

平均の, アベレージの

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[形容詞]
mixed number

a combination of a whole number and a proper fraction

混合数, 混合した数

混合数, 混合した数

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[名詞]
prime number

a number greater than 1 with only two devisors which can be itself or 1

素数, 素な数

素数, 素な数

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[名詞]
rational number

a number that can be expressed as the fraction of two integers

有理数

有理数

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[名詞]
irrational number

a number incapable of being expressed as a ratio of two integers

非有理数

非有理数

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[名詞]
complex number

a number that has both a real part and a part involving a unit that, when squared, gives a negative result

複素数, コンプレックス数

複素数, コンプレックス数

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[名詞]
real number

any number that can be found on the number line, including both positive and negative numbers, zero, and fractions

実数, リアルナンバー

実数, リアルナンバー

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[名詞]
whole number

any positive number without fractions or decimals, including zero

整数, 全数

整数, 全数

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[名詞]
root

a value that, when multiplied by itself a specified number of times, results in the given number

根, 平方根

根, 平方根

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[名詞]
range

the difference between the highest and lowest values in a set of numbers

範囲, レインジ

範囲, レインジ

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[名詞]
solution

a correct answer to a problem in mathematics or a puzzle

解決策, 答え

解決策, 答え

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[名詞]
product

the result of multiplying two or more numbers or quantities together

積

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[名詞]
factor

(mathematics) one of the numbers that another number can be divided by

因数, 割り算

因数, 割り算

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[名詞]
value

(mathematics) an amount that is shown by a sign or letter

値

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[名詞]
inequality

a statement that compares two quantities, expressions, or values and indicates their relative sizes

不等式

不等式

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[名詞]
equation

(mathematics) a statement indicating the equality between two values

方程式

方程式

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[名詞]
minimum

having the least or smallest amount possible

最小限の

最小限の

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[形容詞]
exponential

a mathematical expression where a number is multiplied by itself a certain number of times determined by a variable

指数関数

指数関数

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[名詞]
arithmetic sequence

a sequence of numbers in which the difference between any two consecutive terms is constant

算術数列, 算術の数列

算術数列, 算術の数列

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[名詞]
divisible

having the quality of being divided, especially by a number

割り切れる, 割り分け可能

割り切れる, 割り分け可能

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[形容詞]
to square

to multiply a value or number by itself

平方する, 二乗する

平方する, 二乗する

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[動詞]
improper fraction

a fraction where the the top number is greater than or equal to the equal to the bottom number

不適切な分数, 不正分数

不適切な分数, 不正分数

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[名詞]
quotient

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

商

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[名詞]
common ratio

the constant ratio between consecutive terms

公比, 連続項間の公比

公比, 連続項間の公比

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[名詞]
common multiple

a number that is a multiple of two or more given numbers

共通倍数, 共通倍数の

共通倍数, 共通倍数の

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[名詞]
common factor

a number that divides exactly into two or more given numbers without leaving a remainder

共通因子, 公約数

共通因子, 公約数

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[名詞]
common denominator

(mathematics) a number divisible by all the numbers that are below the line in a set of fractions

公分母, 公分母

公分母, 公分母

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[名詞]
least common denominator

the smallest positive integer that is a common multiple of the denominators of two or more fractions

最小公倍数, 最小共通分母

最小公倍数, 最小共通分母

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[名詞]
probability

(mathematics) a number representing the chances of something specific happening

確率

確率

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[名詞]
median

a statistical measure that represents the middle value of a data set when the values are arranged in ascending or descending order

中央値

中央値

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[名詞]
mode

the value that appears most frequently in a data set

モード

モード

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[名詞]
bimodal

having or involving two distinct modes, peaks, or most frequent values

二峰性の, 二項の

二峰性の, 二項の

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[形容詞]
to estimate

to guess the value, number, quantity, size, etc. of something without exact calculation

推定する, 見積もる

推定する, 見積もる

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[動詞]
frequency

the number of times a particular event occurs within a specific period or among a set of observations

頻度, 回数

頻度, 回数

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[名詞]
distribution

(statistics) the way statistical data are arranged that shows the frequency in which the values of a variable are repeated

分布, 配分

分布, 配分

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[名詞]
standard deviation

a measure of how much the values in a set typically differ from the average

標準偏差, 平均偏差

標準偏差, 平均偏差

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[名詞]
margin of error

the range within which the true value is expected to fall, accounting for potential inaccuracies in measurement or sampling

誤差マージン, 誤差範囲

誤差マージン, 誤差範囲

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[名詞]
random

occurring in such a way that each possible outcome has a certain probability of occurring, but the specific outcome cannot be predicted with certainty

ランダム, 偶然の

ランダム, 偶然の

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[形容詞]
trend line

a straight line drawn through a set of data points on a graph to represent the general direction or pattern of the data

トレンドライン, トレンド線

トレンドライン, トレンド線

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[名詞]
dot plot

a type of statistical chart consisting of dots that represent individual data points

ドットプロット, 点プロット

ドットプロット, 点プロット

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[名詞]
linear model

a mathematical representation that describes the relationship between two or more variables using a linear equation

線形モデル

線形モデル

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[名詞]
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