Descriptive Statistics Test 10

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Descriptive Statistics Test 10

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Weekly Quiz Competition

Question 1
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Directions For Questions

The frequency curve shows the number of students ages $$11$$ through $$17$$ in Chennai city that have mobile phones. Refer to the frequency curve below to answer each question.

...view full instructions

What was the least number of mobile phones at any age?

A
$$10$$

B
$$15$$

C
$$20$$

D
$$25$$

Solution

$$10$$ was the least number of mobile phones at any age.
Question 2
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Brain and Jared live in the same apartment complex and they both bike to and from the work every day. The figure above shows a typical commute home for each of them. Based on the figure, which of the following statements is true?

A
It takes Brain longer to bike home because his work is farther away.

B
It takes Jared longer to bike home because his work is farther away.

C
Jared and Brain arrive home at the same time, so they must bike at about the same rate.

D
Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

Solution

$$\Rightarrow$$ In the given figure we can see Jared's distance between workplace and the apartment is more than Brain's.
$$\Rightarrow$$ Jared takes the same time as Brain to travel that distance.
$$\therefore$$ Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.
Question 3
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Directions For Questions

Study the following line graph and answer the questions based on it.

...view full instructions

What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)

A
$$119333$$

B
$$113666$$

C
$$112778$$

D
$$111223$$

Solution

Average number of vehicles manufactured by Company X
$$\displaystyle =\frac { 1 }{ 6 } \times \left( 119000+99000+141000+78000+120000+159000 \right) $$
$$\displaystyle =119333$$
Question 4
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

If the total number of candidates appeared in 1996 and 1997 together was 47400, then the total number of candidates qualified in these two years together was?

A
34700

B
32100

C
31500

D
Data inadequate

Solution

The total number of candidates qualified in 1996 and 1997 together, cannot be determined until we know at least, the number of candidates appeared in any one of the two years 1996 or 1997 or the percentage of candidates qualified to appeared in 1996 and 1997 together.
Hence, the data is inadequate.
Question 5
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Directions For Questions

The following line graph gives the percent profit earned by two Companies $$X$$ and $$Y$$ during the period $$1996 - 2001.$$

...view full instructions

If the expenditure of Company $$Y$$ in $$1997$$ was $$Rs. 220$$ crores, what was its income in $$1997$$ ?

A
$$Rs. 312$$ crores

B
$$Rs. 297$$ crores

C
$$Rs. 283$$ crores

D
$$Rs. 275$$ crores

Solution

Profit percent of Company $$Y$$ in $$1997 = 35.$$
Let the income of Company $$Y$$ in $$1997$$ be $$Rs. x$$ crores.
Then, $$\displaystyle 35=\frac { x-220 }{ 220 } \times 100\Rightarrow x=297$$
$$\displaystyle \therefore $$ Income of Company $$Y$$ in $$1997 = Rs. 297$$ crores.
Question 6
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Directions For Questions

Study the following line graph and answer the questions based on it.

...view full instructions

In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?

A
1997

B
1998

C
1999

D
2000

Solution

The difference between the productions of Companies X and Y in various years are:
For 1997 (139000 - 119000) = 20000.
For 1998 (120000 - 99000) = 21000.
For 1999 (141000 - 100000) = 41000.
For 2000 (128000 - 78000) = 50000.
For 2001 (120000 - 107000) = 13000.
For 2002 (159000 - 148000) = 11000.
Clearly, maximum difference was in 2000.
Question 7
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Directions For Questions

The following line graph gives the percentage of the number of candidates who qualified an examination out of the total number of candidates who appeared for the examination over a period of seven years from 1994 to 2000.

...view full instructions

The difference between the percentage of candidates qualified to appeared was maximum in which of the following pairs of years?

A
1994 and 1995

B
1997 and 1998

C
1998 and 1999

D
1999 and 2000

Solution

The differences between the percentages of candidates qualified to appeared for the give pairs of years are:
For 1994 and 1995 = 50 - 30 = 20.
For 1998 and 1999 = 80 - 80 = 0.
For 1994 and 1997 = 50 - 30 = 20.
For 1997 and 1998 = 80 - 50 = 30.
For 1999 and 2000 = 80 - 60 = 20.
Thus, the maximum difference is between the years 1997 and 1998.
Question 8
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Directions For Questions

Study the following line graph and answer the questions based on it.

...view full instructions

What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?

A
50000

B
42000

C
33000

D
21000

Solution

No. of vehicles manufactured by company Y in $$2000 = 128000$$
No. of vehicles manufactured by company Y in $$2001 = 107000$$
Required difference = (128000 - 107000) = 21000.
Question 9
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If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A
Rs. 370 crores

B
Rs. 320 crores

C
Rs. 280 crores

D
Rs. 275 crores

Solution

Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, $$\displaystyle \frac { 272 }{ x } =0.85\Rightarrow x=\frac { 272 }{ 0.85 } =320$$
$$\displaystyle \therefore $$ Exports in 1996 = Rs. 320 crores.
Question 10
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Directions For Questions

The following line graph gives the annual percent profit earned by a Company during the period $$1995 - 2000.$$

...view full instructions

In which year is the expenditure minimum?

A
$$2000$$

B
$$1997$$

C
$$1996$$

D
Cannot be determined

Solution

The line graph gives the comparison of percent profit for different years but the comparison of the expenditures is not possible without more data.
Therefore, the year with minimum expenditure cannot be determined.