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Math Pentathlon 24-25 > Math Section II > Flashcards

Math Section II Flashcards

1
Q

Mean, median, and mode are all measures of what?

A

central tendency

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2
Q

What is a measure of central tendency?

A

a value that is the central position of a data set

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3
Q

What is mean?

A

the average of a set of numbers

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4
Q

How do you calculate mean?

A

add the numbers in a data set and divide it by the number of numbers in the data set

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5
Q

What is median?

A

the middle number in a data set written from least to greatest

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6
Q

How do you find the median of a data set with no single middle value?

A

average the 2 middle numbers together

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7
Q

What is mode?

A

the number that appears most often in a data set

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8
Q

What are the modes a data set can have?

A

no mode, one mode, or more than one mode

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9
Q

What is range?

A

the difference between the largest and smallest numbers in a data set

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10
Q

What is an outlier?

A

a value that is extreme, meaning it is much smaller or larger than the other numbers

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11
Q

What type of data display allows us to summarize the shape of a data set?

A

a stem-and-leaf plot

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12
Q

How is the data in a stem-and-leaf plot arranged?

A

by place value

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13
Q

What are the stems in a stem-and-leaf plot?

A

the digits in the tens place, found on the left of the vertical line

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14
Q

What are the leaves in a stem-and-leaf plot?

A

the digits in the ones place, found on the right of the vertical line

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15
Q

What are frequency diagrams?

A

a number line marked with possible values or a range of values, with points indicating each value

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16
Q

What do box-and-whisker plots organize data based on?

A

range and quartiles

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17
Q

In a box-and-whisker plot, what does the left whisker represent?

A

the distance between the minimum value and the lower quartile

18
Q

In a box-and-whisker plot, what does the right whisker represent?

A

the distance between the max value and the upper quartile

19
Q

What represents the median in a box-and-whisker plot?

A

a vertical line

20
Q

What is the lower extreme in a data set?

A

the smallest number

21
Q

What is the upper extreme in a data set?

A

the largest number

22
Q

What is another term for lower quartile?

A

Q1

23
Q

What is another term for upper quartile?

A

Q3

24
Q

What is the lower quartile?

A

the median of the lower half of the data set (between the lower extreme and median)

25
Q

What is the upper quartile?

A

the median of the upper half of the data set (between the upper extreme and median)

26
Q

What does IQR stand for?

A

Interquartile Range

27
Q

What is IQR?

A

the difference between the lower and upper quartiles

28
Q

What is the formula to find the IQR?

A

IQR = Q3 - Q1

29
Q

What are bar graphs?

A

visual displays used to compare frequency or other aspects

30
Q

How many axes are in a bar graph? (axes is plural of axis)

A

2, the y-axis and x-axis

31
Q

What is a group data axis?

A

the axis at the base of the bars, based on the range of the data

32
Q

What is a frequency axis?

A

the axis that displays the frequency, , found on the left/right

33
Q

What are scatterplots?

A

diagrams that show the relationship and correlation between sets of data

34
Q

What are the 3 types of correlation?

A

positive, negative, and none

35
Q

What is positive correlation?

A

as x increases, y increases

36
Q

What is negative correlation?

A

a x increases, y decreases

37
Q

What is no correlation?

A

when there is no pattern between x and y

38
Q

What is a line of best fit?

A

a line that shows the overall trend of the data set

39
Q

What is an arithmetic sequence?

A

a sequence when the numbers are added/subtracted to get the next number in the sequence

40
Q

What is a geometric sequence?

A

a sequence when the numbers are multiplied/divided to get the next number in the sequence

Math Pentathlon 24-25 (4 decks)

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