A bar graph titled Album Type Sold per Year has year on the x-axis and number of albums sold on the y-axis. For C D s, in 2008 t

Question

2 years ago

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A bar graph titled Album Type Sold per Year has year on the x-axis and number of albums sold on the y-axis. For C D s, in 2008 t

here were 1000 sold; 2009, 800; 2010, 800; 2011, 600; 2012, 400; 2013, 200. For Digital, in 2008 there were 100 sold; 2009, 300; 2010, 300; 2011, 500; 2012, 700; 2013, 900.
Which of these statements is true? Check all that apply.
CDs have a higher mean than digital.
The range of digital is 800.
The median of CDs is 400.
Both have the same interquartile range.
Both have the same median.
Digital’s mean is around 467.

Mathematics

2 answers:

stira [4] · Answer 1 · 2023-03-20T01:55:02+03:00

Answer:

True, True, False, True, False, True

Step-by-step explanation:

CDs have a higher mean than digital

Let's check. CD mean is (1000 + 800 + 800 + 600 + 400 + 200)/6 = 633.33

Digital mean: (100 + 300 + 300 + 500 + 700 + 900)/6 = 466.67

CD's mean is higher. Since you are dividing byt he same number you also could have just added the amount and found which was a larger number. But yes, this is true.

The range of digital is 800

The range is the highest number inus the lowest number. For digital the highest is 900 and lowest is 100 so the ange is 900-100 = 800. So this is true.

The median of CDs is 400.

The median is the middle value for odd numbers of values, or the average of the two middle values. 6 total values means you have to take the third and fourth and average them. in CDs the middle values are 800 and 600, the average is 700, so that is what the median is. this is false.

Both have the same interquartile range.

Interquartile range is to find the middle number or numbers like in median, then take the two parts it is split into and find the "median" of those. Then subtract the larger one fromt he smaller one.

IQR of CD the first half is 200, 400, 600 so the middle here is 400, second half has a middle number of 800 so IQR here is 800-400=400

IQR of digital is 700-300 = 400 so yes both are the same.

Both have the same median

We know the medan of CDs is 700 then findign the median of digital is (300+500)/2 = 400. So no, the medians are not the same.

Digital’s mean is around 467.

We founf the mean for digital to be 466.67 which rounds up to 467, So I would say it is true.