Question

g Nielsen tracks the amount of time that people spend consuming media content across different platforms (digital, audio, television) in the United States. Nielsen has found that traditional television viewing habits vary based on the age of the consumer as an increasing number of people consume media through streaming devices.† The following data represent the weekly traditional TV viewing hours in 2016 for a sample of 14 people aged 18–34 and 12 people aged 35–49. (Round your answers to two decimal places.) Viewers aged 18–34 24.2 21.0 17.8 19.6 23.4 19.1 14.6 27.1 19.2 18.3 22.9 23.4 17.3 20.5 Viewers aged 35–49 24.9 34.9 35.8 31.9 35.4 29.9 30.9 36.7 36.2 33.8 29.5 30.8 (a) Compute the mean and median weekly hours of traditional TV viewed by those aged 18–34. mean hr median hr (b) Compute the mean and median weekly hours of traditional TV viewed by those aged 35–49. mean hr median hr

Answer 1

Answer:

(a) Mean = 20.60 hours

    Median = 20.05 hours

(b) Mean = 32.55 hours

    Median = 32.85 hours

Step-by-step explanation:

Viewers aged 18–34:

24.2 21.0 17.8 19.6 23.4 19.1 14.6 27.1 19.2 18.3 22.9 23.4 17.3 20.5

Viewers aged 35–49:

24.9 34.9 35.8 31.9 35.4 29.9 30.9 36.7 36.2 33.8 29.5 30.8

(a) We need to compute the mean and median of the weekly hours watched by viewers aged 18-34. The formula for mean is:

Mean = ∑x / n

where  ∑x is the sum of weekly hours watched

            n is the total number of viewers

Mean = (24.2+21.0+17.8+19.6+23.4+19.1+14.6+27.1+19.2+18.3+22.9+23.4+17.3+20.5)/14

          = 288.4/14

Mean = 20.60 hours

To find out the median, we need to arrange the data in ascending order:

14.6 17.3 17.8 18.3 19.1 19.2 19.6 20.5 21.0 22.9 23.4 23.4 24.2 27.1

Then, we need to compute the (n/2)th vale and the (n/2 + 1) th value. So,

n/2 = 14/2 = 7th value

(n/2) + 1 = 14/2 +1 = 8th value  

the median lies between these two values. So,

7th value = 19.6

8th value = 20.5

Median = (19.6+20.5)/2

Median = 20.05 hours

(b) We need to compute the mean and median of the weekly hours watched by viewers aged 35-49.

Mean = 24.9+34.9+35.8+31.9+35.4+29.9+30.9+36.7+36.2+33.8+29.5+30.8/12

          = 390.7/12

          = 32.55

Mean = 32.55 hours

For computing the median we need to arrange the data in ascending order:

24.9 29.5 29.9 30.8 30.9 31.9 33.8 34.9 35.4 35.8 36.2 36.7

n/2 = 12/2 = 6th value

(n/2 +1) = 12/2 + 1 = 7th value

6th value: 31.9

7th value: 33.8

Median = (31.9 + 33.8)/2

Median = 32.85 hours