the marketing department of yellow dot electronics wants to study the effectiveness of the companys…

the marketing department of yellow dot electronics wants to study the effectiveness of the companys advertising. to collect data, several sales representatives ask a random sample of customers to rate how influential the companys ads were in the customers decision - making on a scale from 1 to 5, with 1 being \not at all influential\ and 5 being \very influential\. here are the data from one representatives sample: 2 3 3 1 2 5 4 5 3 2 2 2 1 3 what is the median level of advertising influence for the customers in this representatives sample?

the marketing department of yellow dot electronics wants to study the effectiveness of the companys advertising. to collect data, several sales representatives ask a random sample of customers to rate how influential the companys ads were in the customers decision - making on a scale from 1 to 5, with 1 being \not at all influential\ and 5 being \very influential\. here are the data from one representatives sample: 2 3 3 1 2 5 4 5 3 2 2 2 1 3 what is the median level of advertising influence for the customers in this representatives sample?

Answer

Explanation:

Step1: Arrange data in ascending order

1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5

Step2: Determine number of data points

There are $n = 14$ data - points.

Step3: Use median formula for even - numbered data set

The median for an even - numbered data set is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. Here, $\frac{n}{2}=\frac{14}{2}=7$ and $\frac{n}{2}+1 = 8$. The 7th value is 2 and the 8th value is 3. Median=$\frac{2 + 3}{2}=2.5$

Answer:

2.5