Report Number of Observations - 6th Grade Math
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Which calculation finds $n$ from frequencies $f_1, f_2, \dots, f_k$?
Which calculation finds $n$ from frequencies $f_1, f_2, \dots, f_k$?
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$n = f_1 + f_2 + \cdots + f_k$. Sum all frequency values to get total observations.
$n = f_1 + f_2 + \cdots + f_k$. Sum all frequency values to get total observations.
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What is $n$ if the sum of frequencies in a table is $25$?
What is $n$ if the sum of frequencies in a table is $25$?
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$n = 25$. Total observations equals sum of all frequencies.
$n = 25$. Total observations equals sum of all frequencies.
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Identify the error: A student says $n = 3$ for ${5, 5, 5, 5}$. What is $n$?
Identify the error: A student says $n = 3$ for ${5, 5, 5, 5}$. What is $n$?
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Incorrect; $n = 4$. Student counted unique values; count all four 5's.
Incorrect; $n = 4$. Student counted unique values; count all four 5's.
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Find $n$ for the data set ${9, 1, 9, 1, 9, 1, 9, 1, 9}$.
Find $n$ for the data set ${9, 1, 9, 1, 9, 1, 9, 1, 9}$.
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$n = 9$. Count all values, not unique values.
$n = 9$. Count all values, not unique values.
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What is the number of observations in the data set ${2, 4, 6, 8, 10, 12, 14, 16}$?
What is the number of observations in the data set ${2, 4, 6, 8, 10, 12, 14, 16}$?
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$n = 8$. Count each term in the sequence.
$n = 8$. Count each term in the sequence.
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What is $n$ if a bar graph has category counts $7$, $5$, and $8$?
What is $n$ if a bar graph has category counts $7$, $5$, and $8$?
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$n = 20$. Sum category counts: $7 + 5 + 8 = 20$.
$n = 20$. Sum category counts: $7 + 5 + 8 = 20$.
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Identify $n$ if a dot plot shows $4$ dots above $2$ and $6$ dots above $3$.
Identify $n$ if a dot plot shows $4$ dots above $2$ and $6$ dots above $3$.
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$n = 10$. Total dots equals total observations: $4 + 6 = 10$.
$n = 10$. Total dots equals total observations: $4 + 6 = 10$.
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What is $n$ if a frequency table has frequencies $2, 0, 5, 3$?
What is $n$ if a frequency table has frequencies $2, 0, 5, 3$?
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$n = 10$. Add all frequencies: $2 + 0 + 5 + 3 = 10$.
$n = 10$. Add all frequencies: $2 + 0 + 5 + 3 = 10$.
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What is the number of observations in a frequency table with counts $3, 4, 1$?
What is the number of observations in a frequency table with counts $3, 4, 1$?
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$n = 8$. Sum all frequencies: $3 + 4 + 1 = 8$.
$n = 8$. Sum all frequencies: $3 + 4 + 1 = 8$.
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What is the number of observations when a value appears $8$ times in a list?
What is the number of observations when a value appears $8$ times in a list?
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$n = 8$. Each occurrence counts as one observation.
$n = 8$. Each occurrence counts as one observation.
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What is the number of observations in the data set ${\frac{1}{2}, \frac{1}{2}, \frac{3}{4}}$?
What is the number of observations in the data set ${\frac{1}{2}, \frac{1}{2}, \frac{3}{4}}$?
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$n = 3$. Fractions are counted like any other values.
$n = 3$. Fractions are counted like any other values.
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What is the number of observations in the data set ${1.5, 2.0, 2.5, 3.0}$?
What is the number of observations in the data set ${1.5, 2.0, 2.5, 3.0}$?
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$n = 4$. Decimals count as individual observations.
$n = 4$. Decimals count as individual observations.
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What is the number of observations in the ordered list $1, 2, 3, 4, 5, 6, 7$?
What is the number of observations in the ordered list $1, 2, 3, 4, 5, 6, 7$?
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$n = 7$. Count each number in the ordered sequence.
$n = 7$. Count each number in the ordered sequence.
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Identify the number of observations in ${4, 4, 7, 9, 9, 9}$.
Identify the number of observations in ${4, 4, 7, 9, 9, 9}$.
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$n = 6$. Count all values including duplicates.
$n = 6$. Count all values including duplicates.
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What is the number of observations in the data set ${0, 0, 0, 0, 0}$?
What is the number of observations in the data set ${0, 0, 0, 0, 0}$?
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$n = 5$. Count all values, even if they're identical.
$n = 5$. Count all values, even if they're identical.
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What is the number of observations in the data set ${3, 5, 5, 8}$?
What is the number of observations in the data set ${3, 5, 5, 8}$?
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$n = 4$. Count each value: 3, 5, 5, 8 gives 4 total.
$n = 4$. Count each value: 3, 5, 5, 8 gives 4 total.
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What is the symbol commonly used to represent the number of observations?
What is the symbol commonly used to represent the number of observations?
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$n$. Standard notation in statistics for sample size.
$n$. Standard notation in statistics for sample size.
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What does the phrase "number of observations" mean in a data set?
What does the phrase "number of observations" mean in a data set?
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The total count of data values in the set. Each value counts as one observation, regardless of repetition.
The total count of data values in the set. Each value counts as one observation, regardless of repetition.
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What is the number of observations in the data set ${12}$?
What is the number of observations in the data set ${12}$?
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$n = 1$. A single value means one observation.
$n = 1$. A single value means one observation.
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What is the number of observations if a survey records $1$ response from each of $25$ people?
What is the number of observations if a survey records $1$ response from each of $25$ people?
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$25$ observations. One response per person means observations equal people.
$25$ observations. One response per person means observations equal people.
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What is the number of observations if $4$ students each report $3$ test scores?
What is the number of observations if $4$ students each report $3$ test scores?
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$12$ observations. Multiply students by scores per student: $4 imes 3 = 12$.
$12$ observations. Multiply students by scores per student: $4 imes 3 = 12$.
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Find the number of observations when a bar graph shows category counts of $5$, $7$, $2$, and $6$.
Find the number of observations when a bar graph shows category counts of $5$, $7$, $2$, and $6$.
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$20$ observations. Add all bar heights: $5 + 7 + 2 + 6 = 20$ observations.
$20$ observations. Add all bar heights: $5 + 7 + 2 + 6 = 20$ observations.
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What is the number of observations if $8$ people are measured on $2$ variables each (height and arm span)?
What is the number of observations if $8$ people are measured on $2$ variables each (height and arm span)?
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$16$ observations. Total observations = people × measurements per person.
$16$ observations. Total observations = people × measurements per person.
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Which option correctly reports the number of observations for $5, 5, 5, 6$: $n=2$ or $n=4$?
Which option correctly reports the number of observations for $5, 5, 5, 6$: $n=2$ or $n=4$?
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$n = 4$. $n=4$ counts all values; $n=2$ incorrectly counts unique values only.
$n = 4$. $n=4$ counts all values; $n=2$ incorrectly counts unique values only.
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Identify the number of observations shown by the dot plot (each dot is one value).
Identify the number of observations shown by the dot plot (each dot is one value).
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$n = 9$. Count each dot as one observation.
$n = 9$. Count each dot as one observation.
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