8 Total videos rented | Summary and Q&A

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April 15, 2014
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Khan Academy
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8 Total videos rented

TL;DR

The total number of video rentals by premium members at Store B between 2000 and 2002 is approximately 46,000.

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Key Insights

  • 🏪 Store B had 500 premium members in 2000, with an average of 12 rentals per member, resulting in a total of 6,000 rentals for that year.
  • 👪 In 2001, Store B had 1,000 premium members, each renting an average of 15 videos, resulting in a total of 15,000 rentals.
  • 🔙 In 2002, Store B had 1,250 premium members, with an average of 20 rentals per member, resulting in a total of 25,000 rentals.
  • 🍹 The total number of video rentals by premium members at Store B between 2000 and 2002 is 46,000, as calculated by summing the rentals for each year.
  • ❓ The calculations assume that the average rentals per premium member remain consistent throughout the years.
  • 🏪 Store A's membership and rental data are not relevant to determining the total number of rentals at Store B.
  • #️⃣ The arithmetic mean is used to calculate the average number of rentals per premium member.
  • 🗂️ The average number of rentals per premium member is determined by dividing the total rentals by the total premium members.
  • ✖️ Multiplying the average rentals per premium member by the total premium members results in the total number of rentals.

Transcript

  • [Voiceover] The first table above shows the number of premium members at two premium video rental stores. A number of premium members and then this is store A and store B. During the years two thousand to two thousand two the second table shows the average, arithmetic mean, number of video rentals per premium member at store B during each of thos... Read More

Questions & Answers

Q: How is the average number of rentals per premium member calculated?

The average number of rentals per premium member is calculated by dividing the total number of rentals for a given year by the total number of premium members for that year.

Q: Why is it necessary to multiply the average rentals by the total number of premium members again?

Multiplying the average rentals by the total number of premium members yields the total number of rentals because the average is calculated by dividing the total rentals by the total premium members, and multiplying by the total members cancels out the division.

Q: How is the total number of rentals for each year calculated?

The total number of rentals for each year is calculated by multiplying the average rentals per premium member by the total number of premium members for that year.

Q: Why is the total number of rentals calculated for each year?

The total number of rentals is calculated for each year to determine the total number of rentals at Store B between 2000 and 2002, as requested.

Summary & Key Takeaways

  • The first table provides the number of premium members at Store A and Store B.

  • The second table shows the average number of video rentals per premium member at Store B from 2000 to 2002.

  • To calculate the total number of video rentals at Store B, multiply the average rentals per premium member by the total number of premium members for each year and sum them up.

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