Descriptive Statistics Test 47

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Descriptive Statistics Test 47

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Weekly Quiz Competition

Question 1
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The federal government in the United States has the authority to protect species whose populations have reached dangerously low levels. The figure above represents the expected populations of a certain endangered species before and after a proposed law aimed at protecting the animal is passes. Based on the graph, which of the following statements is true?

A
The proposed law is expected to accelerate the decline in population.

B
The proposed law is expected to stop and reverse the decline in population.

C
The proposed law is expected to have no effect on the decline in population.

D
The proposed law is expected to slow, but not stop or reverse, the decline in population.

Solution

The federal government in the United States has the authority to protect species whose populations have reached dangerously low levels. Based on the given graph, we can say that the proposed law is expected to slow, but not stop or reverse the decline in population.
Hence, option $$D$$ is correct.
Question 2
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How many boys attended the 1995 convention?

A
358

B
390

C
407

D
540

E
716

Solution

Total no. of people who attended the Nation Youth Convention in 1955 = $$716$$

From the graph we can see that,
Percentage of boys who attended in 1995 = $$50\%$$

$$\therefore$$ No. of boys who attended in 1995 = $$\dfrac{50}{100} \times 716 = 358$$
Question 3
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If the four regions shown in the graph above are the only regions in Town $$T$$, the total of which two regions accounts for exactly $$70$$ percent of all cable television subscribers in Town $$T$$?

A
Regions $$M$$ and $$N$$

B
Regions $$M$$ and $$O$$

C
Regions $$N$$ and $$O$$

D
Regions $$N$$ and $$P$$

Solution

According to the graph,
The number of subscribers in region $$M$$ is $$3000$$.
The number of subscribers in region $$N$$ is $$4000$$.
The number of subscribers in region $$O$$ is $$1000$$.
The number of subscribers in region $$P$$ is $$2000$$.
We can see that number of subscribers in combined region of regions $$M$$ and $$N$$ is $$3000+4000=7000$$
We can see that number of subscribers in combined region of regions $$M$$ , $$N$$, $$O$$, $$P$$ is $$3000+4000+1000+2000=10000$$.
Therefore Region $$M+$$ Region $$N$$ subscribers $$=$$ $$70$$ percent of total subscribers.
So, the correct option is $$A$$.
Question 4
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Variance of the first $$1$$ natural numbers is.

A
$$\sqrt{5}$$

B
$$\sqrt{10}$$

C
$$5\sqrt{2}$$

D
$$10$$
Question 5
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If the variance of $$14, 18, 22, 26, 30$$ is $$32$$, then the variance of $$28, 36, 44, 52, 60$$ is.

A
$$64$$

B
$$128$$

C
$$32\sqrt{2}$$

D
$$32$$

Solution
Question 6
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The variance of $$10, 10, 10, 10$$ is.

A
$$10$$

B
$$\sqrt{10}$$

C
$$5$$

D
$$0$$

Solution
Question 7
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Examine the graph and determine which of the following is true.

A
(c) minus (b) equals (b) minus (d)

B
(a) plus (d) equals (c)

C
(c) minus (d) equals (a)

D
(a) plus (b) equals (c) plus (d)

Solution
Question 8
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Directions For Questions

Jagadish surveyed the students of his school to determine their favourite sport. The results are shown in the graph.

...view full instructions

How many more students like Basketball than Cricket?

A
$$60$$

B
$$120$$

C
$$20$$

D
$$40$$

Solution
Question 9
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Directions For Questions

Read the given bar graph and answer the questions given below

...view full instructions

Which month maximum rainfall?

A
April

B
July

C
August

D
September
Question 10
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The chart below represents the average amount of rain falling each month in the town of Tegulpa. During which month of the year does the most rain fall?

A
January

B
April

C
August

D
December

Solution