theres a question on my homework packet.
Here it is:
-The Data contains 7 elements.
-all the elements are greater than 6 but less than 24.
-the mode of the set is 18
-the range and the mean are 15
-the meadian is 16
-The set cobtains exactley 3 odd numbers
-when ordered from least to greatest, the first two elements equal the mode
-when ordered from least to greatest, the last four elements are even
what is the mystery data set?
can someone please help me?
An EXCEL spreadsheet is very helpful for solving these type of problems.
write out spaces for 7 numbers.
1) the Median is 16, so put 16 in the 4-spot.
2) the sum of the first two spots (two lowest) is 18 -- the mode. Since you need 3 odd numbers, try 7 and 11 in the spots 1 and 2.
3) This means spot 7 must be 22 (as the range is 15)
4) Put 18 in the 5 and 6 slots as 18 is the mode and, nicely, the top four number are even.
5) this leaves the 3 spot, in order to have an overall mean of 15, the 3-spot must be 13.
the numbers are 7,11,13,16,18,18,22
I don't get this question on my homework... In a class of 28 sixth graders, all but one of the students are 12 years old. Which two data measurements are the same for the student's ages? What are those measurements?
So can u help me understand it... because to me it seems like they repeat the question twice.
Of course, I can help you with that!
To find the mystery data set that satisfies all the given conditions, we can follow these steps:
Step 1: Determine the minimum and maximum values.
Since all elements in the set are greater than 6 but less than 24, we know that the minimum value is 7 and the maximum value is 23.
Step 2: Calculate the range.
The range is the difference between the maximum and minimum values. In this case, the range is given to be 15, so we have:
23 - 7 = 15
Step 3: Determine the mode.
The mode is the element(s) that appear(s) most frequently in the set. In this case, the mode is given to be 18.
Step 4: Determine the median.
The median is the middle element when the set is ordered from least to greatest. In this case, the median is given to be 16.
Step 5: Calculate the mean.
The mean is the average of all elements in the set. In this case, the mean is given to be 15.
Step 6: Determine the number of odd numbers.
The set contains exactly 3 odd numbers.
Step 7: Arrange the numbers.
Based on the given conditions, we can deduce that:
- The first two elements (when ordered from least to greatest) are equal to the mode, which is 18. So, the first two elements are 18, 18.
- The last four elements (when ordered from least to greatest) are even. Since we only have 3 odd numbers in the set, the remaining elements (last four elements) must be even.
Using this information, we can now construct the mystery data set:
18, 18, x, y, z, w, a
Step 8: Fill in the missing elements.
To satisfy the given conditions, we need to fill in the missing elements in the set.
For the missing elements x, y, z, w, and a, we know that:
- All elements are greater than 6 but less than 24.
- The range is 15.
Considering these conditions, we can assign the following values to the missing elements:
x = 7 + 15 = 22
y = 7 + 14 = 21
z = 7 + 13 = 20
w = 7 + 12 = 19
a = 7 + 11 = 18
These values satisfy both the range condition and the condition that the last four elements are even.
Therefore, the mystery data set is:
18, 18, 22, 21, 20, 19, 18
I hope this helps! Let me know if you have any further questions.