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Mars2501 [29]
4 years ago
11

In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What

is the 65th percentile?
Mathematics
2 answers:
enyata [817]4 years ago
6 0

Answer:The 65th percentile is 74

Step-by-step explanation:

The total number of scores sampled is 10. So n = 10

We want to determine the 65th percentile. First step is to rearrange the scores in an increasing order. It becomes

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Next step is to determine the index by multiplying 65% by n. It becomes

65/100×10 = 6.5. Rounding up to the nearest whole number, it becomes 7

The 65th percentile will be the 7th term from the left. It becomes

74

julia-pushkina [17]4 years ago
4 0

Answer:

The 65th percentile is between 73 and 74

Step-by-step explanation:

Rearrange the ungrouped data in ascending order: 65,66,67,68,71,73,74,77,77,77

The 65th percentile is 65/100 of N ( N = 10) = 65/100 × 10 = 6.5

The 65th percentile is the 6.5th term. The 6th term is 73 and the 7th term is 74, the 6.5th term is between the 6th and 7th term

The 65th percentile is between 73 and 74

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4 0
3 years ago
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it’s width. The total area of th
steposvetlana [31]

The width of the rug is 3 inches

Step-by-step explanation:

A knitter wants to make a rug for a dollhouse

  • The length of the rug will be 2 inches more than it’s width
  • The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
  • The desired area of the rug is 15 square inches

We need to find the width of the rug

∵ The area of the rug is A(w) = w(2 + w)

- Simplify the right hand side

∴ A(w) = 2w + w²

∵ The desired area of the rug is 15 square inches

- Equate A(w) by 15

∴ 2w + w² = 15

- Subtract 15 from both sides

∴ 2w + w² - 15 = 0

- Its a quadratic equation arrange its terms from the greatest power of x

∴ w² + 2w - 15 = 0

Factorize it into two binomial factors

∵ w² = w × w

∵ 15 = 3 × 5

∵ 5w - 3w = 2w

∴ w² + 2w - 15 = (w -3)(w + 5)

∴ (w - 3)(w + 5) = 0

- Equate each factor by 0

∴ w - 3 = 0 OR w + 5 = 0

∵ w - 3 = 0

- Add 3 to both sides

∴ w = 3

∵ w + 5 = 0

- Subtract 5 from both sides

∴ w = -5 ⇒ rejected because no dimension with -ve value

∴ w = 3 only

The width of the rug is 3 inches

Learn more:

You can learn more about the quadratic equation in brainly.com/question/9328925

#LearnwithBrainly

8 0
3 years ago
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