Display Data in Statistical Plots - 6th Grade Math
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Which plot is best for showing exact repeated values: dot plot, histogram, or box plot?
Which plot is best for showing exact repeated values: dot plot, histogram, or box plot?
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Dot plot. Each dot shows one occurrence, perfect for duplicates.
Dot plot. Each dot shows one occurrence, perfect for duplicates.
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Identify what the height of a bar in a histogram represents.
Identify what the height of a bar in a histogram represents.
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The frequency (count) of data in that interval. Bar height shows how many values fall in that bin.
The frequency (count) of data in that interval. Bar height shows how many values fall in that bin.
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What must be true about bin widths in a standard histogram?
What must be true about bin widths in a standard histogram?
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All bins have equal width on the number line. Ensures fair comparison between intervals.
All bins have equal width on the number line. Ensures fair comparison between intervals.
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Identify the part of a box plot that shows the middle $50%$ of the data.
Identify the part of a box plot that shows the middle $50%$ of the data.
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The box from $Q_1$ to $Q_3$. The box contains the middle two quartiles.
The box from $Q_1$ to $Q_3$. The box contains the middle two quartiles.
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What is the range formula for a data set?
What is the range formula for a data set?
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$ ext{range} = ext{maximum} - ext{minimum}$. Measures total spread from smallest to largest value.
$ ext{range} = ext{maximum} - ext{minimum}$. Measures total spread from smallest to largest value.
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What is the interquartile range (IQR) formula?
What is the interquartile range (IQR) formula?
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$IQR = Q_3 - Q_1$. Measures spread of the middle 50% of data.
$IQR = Q_3 - Q_1$. Measures spread of the middle 50% of data.
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What is a box plot (box-and-whisker plot) used to display?
What is a box plot (box-and-whisker plot) used to display?
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A distribution using the five-number summary. Shows spread and center using quartiles visually.
A distribution using the five-number summary. Shows spread and center using quartiles visually.
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What does the median represent in a data set?
What does the median represent in a data set?
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The middle value when the data are ordered. Splits ordered data into two equal halves.
The middle value when the data are ordered. Splits ordered data into two equal halves.
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What is a dot plot used to display on a number line?
What is a dot plot used to display on a number line?
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Data values with dots; each dot represents $1$ occurrence. Shows individual data points clearly on a number line.
Data values with dots; each dot represents $1$ occurrence. Shows individual data points clearly on a number line.
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What is a histogram used to display on a number line?
What is a histogram used to display on a number line?
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Frequencies of data grouped into equal-width intervals (bins). Groups data into bins to show distribution patterns.
Frequencies of data grouped into equal-width intervals (bins). Groups data into bins to show distribution patterns.
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What does it mean when dots are stacked above the same number in a dot plot?
What does it mean when dots are stacked above the same number in a dot plot?
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That value occurs multiple times (higher frequency). Stacking shows repeated values - more dots mean more occurrences.
That value occurs multiple times (higher frequency). Stacking shows repeated values - more dots mean more occurrences.
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Identify the best plot to show exact repetitions in this small data set: $[2,2,3,4,4,4]$.
Identify the best plot to show exact repetitions in this small data set: $[2,2,3,4,4,4]$.
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Dot plot. Dot plots clearly show individual values and repetitions.
Dot plot. Dot plots clearly show individual values and repetitions.
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Identify the correct statement about the box in a box plot.
Identify the correct statement about the box in a box plot.
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The box spans from $Q_1$ to $Q_3$ (middle $50%$ of data). Box contains the middle half of all data values.
The box spans from $Q_1$ to $Q_3$ (middle $50%$ of data). Box contains the middle half of all data values.
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What is the interquartile range, written as a formula?
What is the interquartile range, written as a formula?
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$IQR=Q_3-Q_1$. Measures spread of the middle 50% of data.
$IQR=Q_3-Q_1$. Measures spread of the middle 50% of data.
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Identify the plot type that groups data into equal-width intervals (bins) on a number line.
Identify the plot type that groups data into equal-width intervals (bins) on a number line.
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Histogram. Groups continuous data into bins with bars showing frequencies.
Histogram. Groups continuous data into bins with bars showing frequencies.
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What must be true about bin widths in a histogram for a fair display?
What must be true about bin widths in a histogram for a fair display?
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All bins must have equal width. Equal widths ensure fair visual comparison between intervals.
All bins must have equal width. Equal widths ensure fair visual comparison between intervals.
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In a box plot, what does the vertical line inside the box represent?
In a box plot, what does the vertical line inside the box represent?
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The median. Shows the middle value that splits data in half.
The median. Shows the middle value that splits data in half.
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What is a dot plot on a number line used to display?
What is a dot plot on a number line used to display?
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A data set by marking a dot above each value on a number line. Shows distribution by placing dots at their values on the number line.
A data set by marking a dot above each value on a number line. Shows distribution by placing dots at their values on the number line.
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What does each dot represent in a dot plot when no stacking is needed?
What does each dot represent in a dot plot when no stacking is needed?
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One data value (one observation). Each dot marks one occurrence of that specific value.
One data value (one observation). Each dot marks one occurrence of that specific value.
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Find $IQR$ for a box plot with $Q_1=5$ and $Q_3=13$.
Find $IQR$ for a box plot with $Q_1=5$ and $Q_3=13$.
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$8$. Apply formula: $IQR = Q_3 - Q_1 = 13 - 5 = 8$.
$8$. Apply formula: $IQR = Q_3 - Q_1 = 13 - 5 = 8$.
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Find $Q_3$ for the data set $[1,2,4,6,9,10,12,15]$.
Find $Q_3$ for the data set $[1,2,4,6,9,10,12,15]$.
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$11$. $Q_3$ is median of upper half: median of $[9,10,12,15]$ is $11$.
$11$. $Q_3$ is median of upper half: median of $[9,10,12,15]$ is $11$.
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Find $Q_1$ for the data set $[1,2,4,6,9,10,12,15]$.
Find $Q_1$ for the data set $[1,2,4,6,9,10,12,15]$.
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$3$. $Q_1$ is median of lower half: median of $[1,2,4,6]$ is $3$.
$3$. $Q_1$ is median of lower half: median of $[1,2,4,6]$ is $3$.
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Find the median for the data set $[2,5,8,9,12]$.
Find the median for the data set $[2,5,8,9,12]$.
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$8$. Middle value of 5 ordered values is the 3rd one.
$8$. Middle value of 5 ordered values is the 3rd one.
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A box plot has minimum $2$, $Q_1 = 5$, median $7$, $Q_3 = 9$, maximum $12$. What is the range?
A box plot has minimum $2$, $Q_1 = 5$, median $7$, $Q_3 = 9$, maximum $12$. What is the range?
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$10$. Range = maximum - minimum = $12 - 2$.
$10$. Range = maximum - minimum = $12 - 2$.
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What is a dot plot on a number line used to show about a data set?
What is a dot plot on a number line used to show about a data set?
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A dot above each value shows its frequency on a number line. Each dot represents one data value's position on the number line.
A dot above each value shows its frequency on a number line. Each dot represents one data value's position on the number line.
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