comparing data from two different sets\nalbum type sold per year\ncds digital\nwhich of these statements is…

Explanation:

Step1: Calculate CDs mean

Assume the number of CDs sold in 2008 - 2013 are (x_1,x_2,x_3,x_4,x_5,x_6) (from the bar - chart values). Mean of CDs (\bar{x}{CD}=\frac{x_1 + x_2+x_3+x_4+x_5+x_6}{6}). From the chart, (x_1 = 1000,x_2 = 800,x_3 = 800,x_4 = 600,x_5 = 400,x_6 = 200). (\bar{x}{CD}=\frac{1000 + 800+800+600+400+200}{6}=\frac{3800}{6}\approx633).

Step2: Calculate digital mean

Assume the number of digital albums sold in 2008 - 2013 are (y_1,y_2,y_3,y_4,y_5,y_6). From the chart, (y_1 = 100,y_2 = 300,y_3 = 300,y_4 = 500,y_5 = 700,y_6 = 900). Mean of digital (\bar{y}_{digital}=\frac{100 + 300+300+500+700+900}{6}=\frac{2800}{6}\approx467). So CDs have a higher mean than digital.

Step3: Calculate range of digital

Range of a data - set is (max - min). For digital, (max = 900) and (min = 100), range (=900 - 100=800).

Step4: Calculate median of CDs

Arrange CD values in ascending order: (200,400,600,800,800,1000). Since (n = 6) (even), median (=\frac{600 + 800}{2}=700\neq400).

Step5: Inter - quartile range (IQR)

To calculate IQR, we first need to find the first quartile (Q_1) and the third quartile (Q_3). But without exact data points for quartile calculation from the bar - chart (assuming evenly distributed within each bar), we can't accurately say they have the same IQR.

Step6: Median comparison

We already found CD median is 700 and for digital, arrange values in ascending order: (100,300,300,500,700,900), median (=\frac{300 + 500}{2}=400). They don't have the same median.

Answer:

CDs have a higher mean than digital. The range of digital is 800. Digital's mean is around 467.