Question

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows. # of movies Frequency 0 6 1 8 2 5 3 4 4 2 (a) Find the sample mean x. (Enter your answer to two decimal places.)Find the median.

Answer 1

For the given data of twenty five selected students for number of movies they watched previous week , sample mean is 1.52 and median is 1 .

As given in the question,

Twenty-five randomly selected students were asked the number of movies they watched the previous week.

Number of Movies $x_{i}$ : 0          1        2          3          4        

Frequency $f_{i} x_{i}$:            6           8        5         4           2    

Sample Mean of the data

= $\frac{\sum f_{i} x_{i} }{\sum x_{i} }$

=[(6×0) + (8×1) +(5×2) +(4×3) + (2×4)]/ [6+8+5+4+2]

= 38/25

=1.52

Median of the data is:

Here 25 is odd number

Median is for (N+1)/2 term

(25 +1) /2= 13 th term

Median is 1.

Therefore, for the given data of twenty five selected students for number of movies they watched previous week , sample mean is 1.52 and median is 1 .

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