Answer: The mean weekly allowance is 3.5 dollars
Step-by-step explanation:
Given: Number of students receive no amount =7
Number of students receive $3=5
Then, total amount 5 students receive = [tex]5\times3=\$15[/tex]
Number of students receive $5=7
Then, total amount 7 students receive = [tex]5\times7=\$35[/tex]
Number of students receive $6=3
Then, total amount 3 students receive = [tex]6\times3=\$18[/tex]
Number of students receive $8=2
Then, total amount 2 students receive = [tex]2\times8=\$16[/tex]
Now, the total amount all students receive=[tex]15+35+18+16=84[/tex]
The total students = [tex]7+5+7+3+2=24[/tex]
Now, Mean=[tex]\frac{\text{Total amount}}{\text{Total students}}=\frac{84}{24}=\$3.5[/tex]
Hence, The mean weekly allowance is 3.5 dollars.
The mean weekly allowance for this considered case is ___$3.5___ dollars.
Mean is the ratio of the sum of the total values of the data to the total number of values available.
It is given that:
Total number of students = 24
To sum up the amount they recieved, we will have to add $0 7 times, $3 5 times and so on (because these values are repeated among 24 students these times).
Thus, we get:
[tex]M = \dfrac{0 \times 7 + 3 \times 5 + 5 \times 7 + 6 \times 3 + 8 \times 2}{24} = \dfrac{84}{24} = 3.5[/tex]
Thus, the mean weekly allowance for this considered case is ___$3.5___ dollars.
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