Question

time on social media: a sample of people were asked the average number of hours they spent on social media per day. following is a frequency their responses. (a) what is the most frequent number of hours on social media? (b) how many people were in the sample? (c) how many people spent more than three hours on social media? (d) what percentage of the people spent no fewer than three hours on social media?

Explanation:

Step1: Identify the mode

The mode is the most frequent value. From the bar - chart, the bar corresponding to 3 hours has the highest frequency.

Step2: Calculate the sample size

Sum up the frequencies of all bars. The frequencies are 1, 2, 4, 6, 4. So the sample size $n=1 + 2+4 + 6+4=17$.

Step3: Find number of people spending more than 3 hours

The number of people spending more than 3 hours is the frequency of 4 hours. So it is 4.

Step4: Calculate the percentage of people spending no fewer than 3 hours

The number of people spending no fewer than 3 hours is $6 + 4=10$. The percentage is $\frac{10}{17}\times100\%\approx58.82\%$.

Answer:

(a) 3 hours
(b) 17
(c) 4
(d) Approximately 58.82%