Question

example 1: talking about music streaming
in 2023, pew research center surveyed u.s. teens about their use of music streaming apps. teens were asked: \how often do you listen to music on streaming platforms like spotify, apple music, or youtube music?\ results are shown below.
(source: pew research center, \teens, social media and technology 2023\)

response	frequency
about once a week	210
occasionally	310
rarely or never	180
total	2,120

a) what proportion rarely or never stream music?

b) what percent of people in the sample stream music once a week or more?

c) create a relative frequency table for this dataset.

Explanation:

Step1: Calculate proportion for part a

Proportion formula: $\frac{\text{Frequency of rarely or never}}{\text{Total frequency}}$.
So, $\frac{180}{2120}\approx 0.0849\approx 8.5\%$.

Step2: Calculate percentage for part b

People who stream once a week or more: $1420 + 210=1630$.
Percentage formula: $\frac{\text{Frequency of once a week or more}}{\text{Total frequency}}\times100\%$.
So, $\frac{1630}{2120}\times 100\%\approx 76.9\%$.

Step3: Create relative - frequency table for part c

Relative frequency formula: $\frac{\text{Frequency of each response}}{\text{Total frequency}}$.

• For "Every day or nearly every day": $\frac{1420}{2120}\approx 0.6698$
• For "About once a week": $\frac{210}{2120}\approx 0.0991$
• For "Occasionally": $\frac{310}{2120}\approx 0.1462$
• For "Rarely or never": $\frac{180}{2120}\approx 0.0849$

Answer:

a) Approximately $8.5\%$
b) Approximately $76.9\%$
c)

Response	Relative Frequency
About once a week	$0.0991$
Occasionally	$0.1462$
Rarely or never	$0.0849$