Finding the Mode - ISEE Lower Level: Mathematics Achievement

The value that occurs most often in the data set. The mode identifies the most frequently appearing value, providing insight into the central tendency of categorical or discrete data.

No value occurs more often than all others. When all values appear with equal frequency, typically once, no single value stands out as occurring most often.

It has exactly $2$ values tied for greatest frequency. Bimodal datasets feature two distinct values sharing the highest frequency, indicating two peaks in the data distribution.

It has more than $2$ values tied for greatest frequency. Multimodal datasets exhibit three or more values with the same maximum frequency, reflecting multiple peaks in the distribution.

$5$. $5$ appears twice, more frequently than any other value in the set.

No mode. All values appear exactly once, resulting in equal frequencies and thus no mode.

$2$ and $3$. Both $2$ and $3$ appear twice, tying for the highest frequency in the set.

$10$. $10$ appears three times, exceeding the frequencies of $8$ (twice) and $6$ (once).

$1$. $1$ appears three times, more than $0$ (twice) and $2$ (once).

$-2$. $-2$ appears three times, surpassing $-1$ (twice) and $0$ (once).

$4$. $4$ appears four times, far exceeding $7$ (twice) and $9$ (once).

$12$. $12$ appears three times, more than $11$ (twice) and $13$ (once).

$1.5$. $1.5$ appears twice, while $2.0$ and $3.0$ each appear once.

$\frac{1}{2}$. $\frac{1}{2}$ appears twice, exceeding the single appearances of $\frac{1}{3}$ and $\frac{1}{4}$.

$7$ and $9$. Both $7$ and $9$ appear three times, tying for the highest frequency, while $8$ appears once.

$2$. $2$ has the highest frequency of $5$, compared to $3$'s $4$.

$8$ and $9$. $8$ and $9$ both appear $3$ times, tying for the maximum frequency over $10$'s $1$.

$5$. $5$ appears three times, more than $2$ (twice) and $1$ or $3$ (once each).

$90$ and $100$. $90$ and $100$ each appear twice, tying for the highest frequency over $80$ and $70$ (once each).

$1$, $2$, and $3$. $1$, $2$, and $3$ each appear twice, sharing the maximum frequency, while $0$ appears once.

$14$. $14$ appears three times, exceeding $15$ (twice) and $16$ or $17$ (once each).

$2$ and $4$. $2$ and $4$ each appear three times, tying for the highest frequency over $3$ (twice).

$7$, $8$, and $9$. $7$, $8$, and $9$ each appear twice, sharing the maximum frequency over $10$ (once).

$11$. $11$ appears twice, more frequently than any other value, each appearing once.