ISEE Middle Level Mathematics Achievement Flashcards: Mean Median And Mode

What this deck covers

This deck focuses on Mean Median And Mode, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Middle Level Mathematics Achievement.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the mode of a data set?

Answer: The value that occurs most often. The mode identifies the data value with the highest frequency of occurrence in the set.

Flashcard 2: Identify the mode of the numbers $5,5,6,6,7,7$.

Answer: No mode. Since all values appear with equal frequency, there is no unique mode in the set.

Flashcard 3: What two positions are averaged to find the median when $n$ is even and the list is ordered?

Answer: Positions $\frac{n}{2}$ and $\left(\frac{n}{2}\right)+1$. These positions locate the two central values whose average gives the median for an even number of ordered values.

Flashcard 4: What is the mean of the numbers $3,3,3,9$?

Answer: $4.5$. Sum $3+3+3+9=18$ and divide by $4$ to find the average of the set.

Flashcard 5: What is the mean of the numbers $10,12,14$?

Answer: $12$. Sum $10+12+14=36$ and divide by $3$ to compute the average value.

Flashcard 6: What is the median of the numbers $-3,-1,-2,-4,-5$?

Answer: $-3$. In the ordered list $-5,-4,-3,-2,-1$, the median is the third value for odd $n$.

Flashcard 7: Which option is the correct first step to find the median of $7,1,9,3,5,3$?

Answer: Order the data from least to greatest. Ordering is necessary to identify the middle value(s) for calculating the median.

Flashcard 8: What is the mean of the numbers $1,2,2,5$?

Answer: $2.5$. Sum $1+2+2+5=10$ and divide by $4$ to compute the average.

Flashcard 9: What is the median of the numbers $1,2,7,8,10,11$?

Answer: $\frac{7+8}{2}=7.5$. With an even number of ordered values $1,2,7,8,10,11$, average the third and fourth to find the median.

Flashcard 10: What is the mean of the numbers $2,4,6,8$?

Answer: $5$. Calculate the mean by summing $2+4+6+8=20$ and dividing by $4$ to get the average.

Flashcard 11: What is the median of a data set after the values are arranged from least to greatest?

Answer: The middle value (or average of two middle values). The median is the central value in an ordered list, or the average of the two central values if the count is even.

Flashcard 12: What is the median position (index) for $n$ values when $n$ is odd and the list is ordered?

Answer: $\frac{n+1}{2}$. This formula determines the position of the median in an ordered list with an odd number of values.

Flashcard 13: What is the median of the numbers $12,1,6,2$?

Answer: $\frac{2+6}{2}=4$. Order as $1,2,6,12$ and average the second and third values for the even count median.

Flashcard 14: What is the median of the numbers $4,4,4,9,10$?

Answer: $4$. In the ordered list $4,4,4,9,10$, the median is the third value for an odd count.

Flashcard 15: What is the mean of a data set with sum $48$ and $n=6$ values?

Answer: $8$. Divide the total sum $48$ by the number of values $6$ to find the average.

Flashcard 16: What is the median of the numbers $9,2,7,5,3$?

Answer: $5$. Order the numbers as $2,3,5,7,9$ and select the middle value for the median.

Flashcard 17: What is the mean of a data set in terms of sum $S$ and number of values $n$?

Answer: $\text{mean}=\frac{S}{n}$. The mean represents the average value, obtained by dividing the total sum of the data points by the number of data points.

Flashcard 18: What is the median of the ordered set $2,3,3,5,7,9$?

Answer: $\frac{3+5}{2}=4$. For even $n=6$, average the third and fourth values in the ordered set.

Flashcard 19: What is the mode of the numbers $0,1,1,2,2,3$?

Answer: $1$ and $2$. Both $1$ and $2$ appear twice, the highest frequency, making the set bimodal.

Flashcard 20: What is the median of the numbers $6,2,9,2,1,2,8$?

Answer: $2$. Order as $1,2,2,2,6,8,9$ and select the fourth value for odd $n=7$.

Flashcard 21: What is the median position for $n=9$ ordered values (give the index number)?

Answer: $5$. Use $(9+1)/2=5$ to find the position of the median in an odd-numbered ordered list.

Flashcard 22: What is the mean of the numbers $20,25,30,35,40$?

Answer: $30$. Sum $20+25+30+35+40=150$ and divide by $5$ to get the arithmetic average.

Flashcard 23: What is the mode of the numbers $8,9,10,11$?

Answer: No mode. All values are unique with frequency one, so no value occurs most often.

Flashcard 24: What is the mode of the numbers $1,3,3,4,4,4,6$?

Answer: $4$. The mode is the value $4$, which appears three times, more frequently than others.

Flashcard 25: What is the mean of the numbers $-2,-1,0,1,2$?

Answer: $0$. The sum is $0$, so dividing by $5$ yields the average of symmetric positive and negative values.