Sure, let's find the mean of the 9 numbers given the information provided.
1. Find the total sum of the first set of 5 numbers:
Since the mean of the first set is 24 and there are 5 numbers in this set, we can calculate the total sum as:
[tex]\[ \text{Total Sum of First Set} = \text{Mean} \times \text{Number of Elements} \][/tex]
[tex]\[ \text{Total Sum of First Set} = 24 \times 5 = 120 \][/tex]
2. Find the total sum of the second set of 4 numbers:
Similarly, since the mean of the second set is 60 and there are 4 numbers in this set, we find the total sum as:
[tex]\[ \text{Total Sum of Second Set} = \text{Mean} \times \text{Number of Elements} \][/tex]
[tex]\[ \text{Total Sum of Second Set} = 60 \times 4 = 240 \][/tex]
3. Calculate the combined total sum of the 9 numbers:
To find the combined total sum of all 9 numbers, we add the total sums of both sets:
[tex]\[ \text{Combined Total Sum} = \text{Total Sum of First Set} + \text{Total Sum of Second Set} \][/tex]
[tex]\[ \text{Combined Total Sum} = 120 + 240 = 360 \][/tex]
4. Find the combined number of elements:
We add the number of elements in both sets to find the total number of elements:
[tex]\[ \text{Combined Total Elements} = \text{Number of Elements in First Set} + \text{Number of Elements in Second Set} \][/tex]
[tex]\[ \text{Combined Total Elements} = 5 + 4 = 9 \][/tex]
5. Calculate the mean of the combined set of 9 numbers:
Finally, to find the mean of the combined set, we divide the combined total sum by the combined number of elements:
[tex]\[ \text{Combined Mean} = \frac{\text{Combined Total Sum}}{\text{Combined Total Elements}} \][/tex]
[tex]\[ \text{Combined Mean} = \frac{360}{9} = 40.0 \][/tex]
So, the mean of those 9 numbers is 40.0.
