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A-Level Mathematics
A-Level Mathematics
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Blurting

Mean, Median, Mode, and Range.

  • The median is the middle value of a set of data that are arranged in order. If there is an even number of data values, you must add those two numbers and divide by 2 to get the number in the middle of those two numbers.
  • The mean, ( or arithmetic average, x is the sum of the values divided by the numbers of values.
  • The mode is the value that occurs the most often in a set of data. There can be more than one mode or no mode.
  • Range: Add the numbers together. Divide the total by the amount of numbers in the set.

Box & Whisker Plots (creating/ drawing one, analyzing them)

  • We know that about 25% of the data set is below the 1st quartile (Q1), and about 75% of the data set is above Q1.
  • We know that about 75% of the data set is below the 3rd quartile (Q3) and about 25% of the data set is above Q3.
  • The median can also be thought of as the 2nd quartile or Q2. about ½ (50%) of the data values are lower than the median and ½ (50%) of the data values are higher than the median.
  • Distribution: By looking at the box plot, we can also tell how the data has been distributed. Box plots can be skewed right (or positively skewed), skewed left (or negatively skewed) or symmetrical.
  • When skewed to the right, the median is shifted to right, therefore the data is stretched to the left and vice versa.

Formulas

  • IQR = Q3 - Q1
  • Range = Highest value - Lowest value

Negative exponent laws, and combining exponent laws.

  • An integer base raised to a negative exponent is equivalent to the reciprocal of the same base raised to the positive exponent.
  • An fractional base raised to a negative exponent is equivalent to the reciprocal of the same base raised to the positive exponent.

The distributive property with coefficients that are a number, a variable, a variable with an exponent, a negative, a fraction.

  • Distribute means to multiply. When you use the distributive property, you are giving jthe number or variable on the outside of the brackets to both (or more) of the numbers or variables on the inside of the brackets.

Steps:

  • Draw arrows to represent multiplication.
  • Multiply
  • Simplify, if possible, by collecting like terms! Remember you cannot combine them if they do not have the same ending!

Blurting

Mean, Median, Mode, and Range.

  • The median is the middle value of a set of data that are arranged in order. If there is an even number of data values, you must add those two numbers and divide by 2 to get the number in the middle of those two numbers.
  • The mean, ( or arithmetic average, x is the sum of the values divided by the numbers of values.
  • The mode is the value that occurs the most often in a set of data. There can be more than one mode or no mode.
  • Range: Add the numbers together. Divide the total by the amount of numbers in the set.

Box & Whisker Plots (creating/ drawing one, analyzing them)

  • We know that about 25% of the data set is below the 1st quartile (Q1), and about 75% of the data set is above Q1.
  • We know that about 75% of the data set is below the 3rd quartile (Q3) and about 25% of the data set is above Q3.
  • The median can also be thought of as the 2nd quartile or Q2. about ½ (50%) of the data values are lower than the median and ½ (50%) of the data values are higher than the median.
  • Distribution: By looking at the box plot, we can also tell how the data has been distributed. Box plots can be skewed right (or positively skewed), skewed left (or negatively skewed) or symmetrical.
  • When skewed to the right, the median is shifted to right, therefore the data is stretched to the left and vice versa.

Formulas

  • IQR = Q3 - Q1
  • Range = Highest value - Lowest value

Negative exponent laws, and combining exponent laws.

  • An integer base raised to a negative exponent is equivalent to the reciprocal of the same base raised to the positive exponent.
  • An fractional base raised to a negative exponent is equivalent to the reciprocal of the same base raised to the positive exponent.

The distributive property with coefficients that are a number, a variable, a variable with an exponent, a negative, a fraction.

  • Distribute means to multiply. When you use the distributive property, you are giving jthe number or variable on the outside of the brackets to both (or more) of the numbers or variables on the inside of the brackets.

Steps:

  • Draw arrows to represent multiplication.
  • Multiply
  • Simplify, if possible, by collecting like terms! Remember you cannot combine them if they do not have the same ending!