Since all user options are false, I will provide a clear summary of the concepts shown in your study guide to help you understand how to solve these types of problems.
Here is a breakdown of the four statistical measures: Mean, Median, Mode, and Range.
1. Mean (Average)
The
Mean is what people usually call the "average." To find it, you add up all the numbers and then divide by how many numbers there are.
*
Step 1: Add all the numbers together.
*
Step 2: Count how many numbers you added.
*
Step 3: Divide the total sum by the count.
Example from the guide:
Numbers: $2, 2, 3, 5, 8$
* Add them: $2 + 2 + 3 + 5 + 8 = 20$
* Count them: There are 5 numbers.
* Divide: $20 \div 5 = 4$
*
Mean = 4
2. Median (Middle)
The
Median is the exact middle number. The most important rule is that you
must put the numbers in order (from smallest to largest) before finding the middle one.
*
If there is an odd amount of numbers: Pick the one right in the center.
*
If there is an even amount of numbers: Take the two middle numbers, add them together, and divide by 2.
Examples from the guide:
*
Odd amount: $1, 3, 6, 8, 9$
* The middle number is
6.
*
Even amount: $1, 4, 5, 6, 8, 9$
* The two middle numbers are 5 and 6.
* Add them: $5 + 6 = 11$
* Divide by 2: $11 \div 2 = 5.5$
* *(Note: The image shows a calculation error resulting in 55, but the correct mathematical median for this set is 5.5)*.
3. Mode (Most)
The
Mode is simply the number that appears
most often. Look for the number that repeats the most times.
* If no number repeats, there is no mode.
* If two numbers repeat the same amount of times, there are two modes.
Examples from the guide:
* $2, 4, 4, 5, 6$ $\rightarrow$ The number 4 appears twice.
Mode = 4
* $3, 3, 3, 4, 6, 6$ $\rightarrow$ The number 3 appears three times (more than any other).
Mode = 3
4. Range (Difference)
The
Range tells you how spread out the numbers are. You find it by subtracting the smallest number from the largest number.
*
Formula: Largest Number $-$ Smallest Number $=$ Range
Examples from the guide:
* $1, 1, 3, 5, 6$
* Largest: 6
* Smallest: 1
* Calculation: $6 - 1 = 5$
*
Range = 5
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Final Answer:
The image provides definitions and examples for four statistical concepts:
1.
Mean: The average (Sum of numbers $\div$ Count of numbers). Example: Mean of $2,2,3,5,8$ is $4$.
2.
Median: The middle value when ordered. Example: Median of $1,3,6,8,9$ is $6$.
3.
Mode: The most frequent value. Example: Mode of $2,4,4,5,6$ is $4$.
4.
Range: The difference between the highest and lowest values. Example: Range of $1,1,3,5,6$ is $5$.
Parent Tip: Review the logic above to help your child master the concept of mean median and range.
