The mean of the following numbers is 7.Find the value of x. What is infinedian, mode and the range? x+2 12, 3x+1 9

## Step 1: Calculate the sum of the given numbers### The given numbers are , 12, , and 9. Their sum is .## Step 2: Calculate the value of x### The mean of the numbers is 7, and there are 4 numbers. Therefore, the sum of the numbers divided by 4 equals 7. So, . Multiplying both sides by 4 gives . Subtracting 24 from both sides gives . Dividing both sides by 4 gives .## Step 3: Substitute x and order the numbers### Substituting into the expressions gives the numbers: , 12, , 9. Ordering these from least to greatest gives: 3, 4, 9, 12.## Step 4: Calculate the median### The median is the middle value. Since there are four numbers, the median is the average of the two middle numbers: .## Step 5: Calculate the mode### The mode is the number that appears most frequently. Since all numbers appear only once, there is no mode.## Step 6: Calculate the range### The range is the difference between the largest and smallest numbers: .