Respuesta :

Answer:

b.  mean: 42, mode: 46

Step-by-step explanation:

if x1,x2,x3,...,xn are n observations then

mean=( x1+x2+...+xn)/n and mode is the element having the highest frequency i.e. element occuring most of the time

mean=(59+16+57+46+58+21+36+41+23+64+20+66+40+51+28+46)/16

        =42

46 occurs twice while all other numbers occur only once so, mode=46

Considering the definition of mean, the mean of the numbers is 41.

Definition of mean

The mean is the average value of the samples and is a measure of central position.

The Mean is calculated as the ratio between the sum of the data and the number of data.

In other words, the mean is the value obtained by adding all the data and dividing it by the total amount of data:

[tex]Mean=\frac{x_{1}+ x_{2} +x_{3} +...+x_{n} }{N}[/tex]

Mean in this case

In this case, the mean of the 5 values is calculated as:

[tex]Mean=\frac{28+40+53+39+45}{5}[/tex]

Solving:

[tex]Mean=\frac{205}{5}[/tex]

Mean=41

Finally, the mean of the numbers is 41.

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