Question

A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? Median, 1.5 Median; 3 Mean, 1.5 Mean; 3

Answer 1

In this case, the median would be the best measure since there is the outlier of 14 in the data. This set of data will have the median of 1.5.

Answer 2

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

The collected data as follows:

2

14

1

2

0

1

0

2

As we know that there are three measures of central tendency.

1) Mean is given by

$\dfrac{0+0+2+14+1+2+0+1+0+2}{8}\\\\=\dfrac{22}{8}\\\\=2.75$

2) Media of 0,0,1,1,2,2,2,14 is given by

$\dfrac{1+2}{2}=\dfrac{3}{2}=1.5$

3) Mode of 0,0,1,1,2,2,2,14 = 2

as 2 is occurring most of the times,

But we know that median is the best measure to find the center.

Hence, Median is the best measure and its value is 1.5.

Thus, First option is correct.