the number of books a group of students borrowed from the library is recorded .
the number of books:0,1,2,3,4
the number of students:2,x,3,4,1
a)if the mean number of books the student borrowed is 1.8 , find the value of x.
b)if the mean of the distribution is 2.find the possible value of x.
c)if the model number of books the students borrowed is 3 , state the greatest possible value of x.


Respuesta :

Answer:

a) To find the value of x when the mean is 1.8, you can use the formula for the mean (average):

\[ \text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}} \]

Given that the mean is 1.8 and the number of students is 2, x, 3, 4, 1, you can set up the equation:

\[ 1.8 = \frac{2 + x + 3 + 4 + 1}{5} \]

Solve for x to find its value.

b) If the mean of the distribution is 2, you can set up the equation:

\[ 2 = \frac{2 + x + 3 + 4 + 1}{5} \]

Solve for x to find the possible value.

c) If the mode is 3, the mode is the value that appears most frequently. In this case, 3 is the mode. To maximize the value of x, you would want to have as many occurrences of 3 as possible. Therefore, x should also be 3. So, the greatest possible value of x is 3.