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kodGreya [7K]
3 years ago
15

A group of 17 students participated in a quiz competition. Their scores are shown below:

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Part A

<h3>Answer: Histogram</h3>

Explanation:

A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.

A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.

A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.

============================================================

Part B

We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.

  • The bin 0-4 has a bar that is 4 units high which means we got 4 scores that are between 0 and 4
  • The bin 5-9 has a bar that is 5 units high, so we have 5 scores between 5 and 9.
  • The bin 10-14 has a bar that is 2 units high since we have 2 scores in this region.

And so on. This all leads to the histogram shown below.

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6. A rectangle has a perimeter of 62 feet. If its length is 9 feet longer than its width, find
Anastaziya [24]

Answer:

length = 20 ft, width = 11 ft

Step-by-step explanation:

let w be width, then length = w + 9

The opposite sides of a rectangle are equal , then

2w + 2(w + 9) = 62

2w + 2w + 18 = 62

4w + 18 = 62 ( subtract 18 from both sides )

4w = 44 ( divide both sides by 4 )

w = 11

and w + 9 = 11 + 9 = 20

then width = 11 ft and length = 20 ft

8 0
3 years ago
At a university, 60% of the 7,400 students are female. The student newspaper reports the results of a survey of a random sample
omeli [17]

Given Information:

Population mean = p  = 60% = 0.60

Population size = N = 7400

Sample size = n = 50

Required Information:

Sample mean = μ = ?

standard deviation = σ = ?

Answer:

Sample mean = μ = 0.60

standard deviation = σ = 0.069

Step-by-step explanation:

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

50*0.60 ≥ 10

30 ≥ 10 (satisfied)

n(1 - p) ≥ 10

50(1 - 0.60) ≥ 10

50(0.40) ≥ 10

20 ≥ 10  (satisfied)

The mean of the sampling distribution will be same as population mean that is

Sample mean = p = μ = 0.60

The standard deviation for this sampling distribution is given by

\sigma = \sqrt{\frac{p(1-p)}{n} }

Where p is the population mean that is proportion of female students and n is the sample size.

\sigma = \sqrt{\frac{0.60(1-0.60)}{50} }\\\\\sigma = \sqrt{\frac{0.60(0.40)}{50} }\\\\\sigma = \sqrt{\frac{0.24}{50} }\\\\\sigma = \sqrt{0.0048} }\\\\\sigma =  0.069

Therefore, the standard deviation of the sampling distribution is 0.069.

4 0
3 years ago
Simon, 35, works for a company which offers a 4% match to his 401(k) plan. He previously invested $25,000 into an IRA. What woul
Paha777 [63]

Answer: answer

Step-by-step explanation:

4 0
3 years ago
Rosa is converting a unit of measure in one system to a unit of measure in another system (1, 760yd)/(1mj) * (0.914m)/(1yd) * (1
Murljashka [212]

Answer:

The statement about Rosa's calculations that is true is (0.914m)/(1yd).

Step-by-step explanation:

The ratio of meter (m) to yard (yd) is 0.914 : 1.

Therefore, the conversion factor is 0.914 m/1 yd

6 0
3 years ago
Read 2 more answers
( HELP ASAP! EASY POINTS ) The picture below shows a box sliding down a ramp:
TEA [102]

Answer:

AC = 14 cosec(68)

Explanation:

Here given:

  • angle: 68°
  • opposite: 14 ft
  • hypotenuse: AC

Use sine rule:

\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}

\rightarrow \sf sin(68) = \dfrac{14}{AC}

\rightarrow \sf AC= \dfrac{14}{ sin(68) }

\rightarrow \sf AC= 14  \ cosec(68)

4 0
2 years ago
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