Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the accompanying table gives the number of copies sold for 30 top-selli…

Question

the accompanying table gives the number of copies sold for 30 top-selling novels. use data given in the table to construct a frequency distribution with a first class (in millions) of 0-99.

copies sold (millions)
500 87 55
300 80 55
200 80 55
170 75 50
150 65 50
140 65 45
100 65 40
100 63 30
100 60 30
90 60 30

construct a frequency distribution.

copies sold (millions) number of books
0-99

Explanation:

Identify the classes and class width

Using the Frequency Distribution and Class Width knowledge points
The first class is given as \(0 - 99\).
The class width is:

$$ 100 - 0 = 100 $$

The subsequent classes of width 100 are:

  • \(100 - 199\)
  • \(200 - 299\)
  • \(300 - 399\)
  • \(400 - 499\)
  • \(500 - 599\)

Count frequencies for each class

Using the Frequency Distribution knowledge point
We sort and count the 30 data points:

  • Data: 500, 300, 200, 170, 150, 140, 100, 100, 100, 90, 87, 80, 80, 75, 65, 65, 63, 60, 60, 55, 55, 55, 50, 50, 45, 40, 30, 30, 30, 30.
  • Class \(0 - 99\):

90, 87, 80, 80, 75, 65, 65, 63, 60, 60, 55, 55, 55, 50, 50, 45, 40, 30, 30, 30, 30 (21 values)
Frequency = 21

  • Class \(100 - 199\):

100, 100, 100, 140, 150, 170 (6 values)
Frequency = 6

  • Class \(200 - 299\):

200 (1 value)
Frequency = 1

  • Class \(300 - 399\):

300 (1 value)
Frequency = 1

  • Class \(400 - 499\):

No values (0 values)
Frequency = 0

  • Class \(500 - 599\):

500 (1 value)
Frequency = 1

Answer:

Construct a frequency distribution.

Copies Sold (millions) | Number of Books
--- | ---
0–99 | <blank>21</blank>
<blank>100</blank>–<blank>199</blank> | <blank>6</blank>
<blank>200</blank>–<blank>299</blank> | <blank>1</blank>
<blank>300</blank>–<blank>399</blank> | <blank>1</blank>
<blank>400</blank>–<blank>499</blank> | <blank>0</blank>
<blank>500</blank>–<blank>599</blank> | <blank>1</blank>