Calculations From Data Displays - SSAT Middle Level: Quantitative
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What is the formula for percent change from an old value $o$ to a new value $n$?
What is the formula for percent change from an old value $o$ to a new value $n$?
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$\frac{n-o}{o}\times 100%$. Calculates percent change by finding the difference relative to the old value and multiplying by 100.
$\frac{n-o}{o}\times 100%$. Calculates percent change by finding the difference relative to the old value and multiplying by 100.
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What is the average rate per item if a display shows total $T$ across $n$ equal groups?
What is the average rate per item if a display shows total $T$ across $n$ equal groups?
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$\frac{T}{n}$. Divides the total by the number of groups to compute the mean value per group.
$\frac{T}{n}$. Divides the total by the number of groups to compute the mean value per group.
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What is the combined percent if two categories are $35%$ and $15%$ of a display?
What is the combined percent if two categories are $35%$ and $15%$ of a display?
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$50%$. Adds the two percentages together to find their total combined share of the display.
$50%$. Adds the two percentages together to find their total combined share of the display.
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What is the remaining percent if one category is $62%$ of the total?
What is the remaining percent if one category is $62%$ of the total?
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$38%$. Subtracts the given percentage from 100 percent to find the remaining portion.
$38%$. Subtracts the given percentage from 100 percent to find the remaining portion.
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What is the new value after a $15%$ decrease from $200$?
What is the new value after a $15%$ decrease from $200$?
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$170$. Multiplies 200 by 0.85 to apply a 15 percent decrease to the original value.
$170$. Multiplies 200 by 0.85 to apply a 15 percent decrease to the original value.
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What fraction of the total is $18$ out of $72$, in simplest form?
What fraction of the total is $18$ out of $72$, in simplest form?
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$\frac{1}{4}$. Simplifies the ratio 18/72 by dividing numerator and denominator by 18.
$\frac{1}{4}$. Simplifies the ratio 18/72 by dividing numerator and denominator by 18.
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What is the percent change from $40$ to $50$?
What is the percent change from $40$ to $50$?
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$25%$ increase. Divides the difference by the original and multiplies by 100 to find the percent increase.
$25%$ increase. Divides the difference by the original and multiplies by 100 to find the percent increase.
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What is the percent change from $80$ to $60$?
What is the percent change from $80$ to $60$?
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$25%$ decrease. Divides the negative difference by the original and multiplies by 100 for percent decrease.
$25%$ decrease. Divides the negative difference by the original and multiplies by 100 for percent decrease.
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What is the percent formula for a part $p$ out of a whole $w$?
What is the percent formula for a part $p$ out of a whole $w$?
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$\text{percent}=\frac{p}{w}\times 100%$. Divides the part by the whole and multiplies by 100 to express the ratio as a percentage.
$\text{percent}=\frac{p}{w}\times 100%$. Divides the part by the whole and multiplies by 100 to express the ratio as a percentage.
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What is the formula for the difference between two values $a$ and $b$ (how far apart)?
What is the formula for the difference between two values $a$ and $b$ (how far apart)?
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$|a-b|$. Uses absolute value to ensure the difference represents the positive distance between two points.
$|a-b|$. Uses absolute value to ensure the difference represents the positive distance between two points.
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What is the total of the frequencies in a data display used to represent?
What is the total of the frequencies in a data display used to represent?
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The total number of data points (the sample size). Summing frequencies in a data display gives the overall count of observations or sample size.
The total number of data points (the sample size). Summing frequencies in a data display gives the overall count of observations or sample size.
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What is the percent of a category with frequency $f$ out of total $T$?
What is the percent of a category with frequency $f$ out of total $T$?
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$\frac{f}{T}\times 100%$. Divides the category frequency by the total and multiplies by 100 to find its percentage share.
$\frac{f}{T}\times 100%$. Divides the category frequency by the total and multiplies by 100 to find its percentage share.
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What is the value after a $r%$ increase from an original amount $A$?
What is the value after a $r%$ increase from an original amount $A$?
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$A\left(1+\frac{r}{100}\right)$. Adds the percentage increase to the original by multiplying by $(1 + r/100)$.
$A\left(1+\frac{r}{100}\right)$. Adds the percentage increase to the original by multiplying by $(1 + r/100)$.
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What is the value after a $r%$ decrease from an original amount $A$?
What is the value after a $r%$ decrease from an original amount $A$?
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$A\left(1-\frac{r}{100}\right)$. Subtracts the percentage decrease from the original by multiplying by $(1 - r/100)$.
$A\left(1-\frac{r}{100}\right)$. Subtracts the percentage decrease from the original by multiplying by $(1 - r/100)$.
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What is the part $p$ if you know the whole $w$ and percent $r%$?
What is the part $p$ if you know the whole $w$ and percent $r%$?
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$p=\frac{r}{100},w$. Multiplies the whole by the decimal equivalent of the percent to find the corresponding part.
$p=\frac{r}{100},w$. Multiplies the whole by the decimal equivalent of the percent to find the corresponding part.
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What is the new value after a $20%$ increase from $50$?
What is the new value after a $20%$ increase from $50$?
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$60$. Multiplies 50 by 1.20 to apply a 20 percent increase to the original amount.
$60$. Multiplies 50 by 1.20 to apply a 20 percent increase to the original amount.
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What is the difference between $68$ and $52$?
What is the difference between $68$ and $52$?
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$16$. Subtracts the smaller value from the larger to find the absolute difference.
$16$. Subtracts the smaller value from the larger to find the absolute difference.
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What is the total frequency if a table shows counts $7$, $9$, $4$, and $10$?
What is the total frequency if a table shows counts $7$, $9$, $4$, and $10$?
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$30$. Adds up all individual category counts to obtain the overall frequency total.
$30$. Adds up all individual category counts to obtain the overall frequency total.
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What percent of the total is $15$ out of $60$?
What percent of the total is $15$ out of $60$?
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$25%$. Divides 15 by 60 and multiplies by 100 to express the proportion as a percentage.
$25%$. Divides 15 by 60 and multiplies by 100 to express the proportion as a percentage.
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What is $25%$ of $80$?
What is $25%$ of $80$?
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$20$. Multiplies 80 by 0.25 to determine 25 percent of the specified value.
$20$. Multiplies 80 by 0.25 to determine 25 percent of the specified value.
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What percent of $50$ is $20$?
What percent of $50$ is $20$?
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$40%$. Divides 20 by 50 and multiplies by 100 to convert the ratio to a percentage.
$40%$. Divides 20 by 50 and multiplies by 100 to convert the ratio to a percentage.
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What is the total if a bar chart shows $24$ for Group A and Group B is $8$ more than A?
What is the total if a bar chart shows $24$ for Group A and Group B is $8$ more than A?
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$56$. Adds Group A's value to Group B's value, which is 24 plus 8, to get the total.
$56$. Adds Group A's value to Group B's value, which is 24 plus 8, to get the total.
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What is the total number of students if $12$ students are $30%$ of the class?
What is the total number of students if $12$ students are $30%$ of the class?
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$40$. Divides the part by its percentage in decimal form to find the total class size.
$40$. Divides the part by its percentage in decimal form to find the total class size.
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What is the whole $w$ if you know the part $p$ and percent $r%$?
What is the whole $w$ if you know the part $p$ and percent $r%$?
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$w=\frac{p}{r/100}$. Divides the part by the decimal percent to determine the total whole amount.
$w=\frac{p}{r/100}$. Divides the part by the decimal percent to determine the total whole amount.
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