Descriptive Statistics Test 11

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Descriptive Statistics Test 11

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Weekly Quiz Competition

Question 1
1 / -0

In how many of the given years were the exports more than the imports ?

A
1

B
2

C
3

D
4

Solution

The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.
Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.
Thus, there are four such years.
Question 2
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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

If the profit in 1999 was Rs. 4 crores, what was the profit in 2000?

A
Rs. 4.2 crores

B
Rs. 6.6 crores

C
Rs. 6.8 crores

D
Cannot be determined

Solution

From the line-graph we obtain information about the percentage profit only. To find the profit in 2000 we must have the data for the income or expenditure in 2000.
Therefore, the profit for 2000 cannot be determined.
Question 3
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Directions For Questions

The bar graph given below shows the foreign exchange reserves of a country (in million US $) from 1991 - 1992 to 1998 - 1999.

...view full instructions

The foreign exchange reserves in 1997-98 was how many times that in 1994-95?

A
0.7

B
1.2

C
1.4

D
1.5

Solution

Required ratio $$= \dfrac{5040}{3360} = 1.5$$
Question 4
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Directions For Questions

The bar graph given below shows the sales of books (in thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001.

...view full instructions

Total sales of branches B1, B3 and B5 together for both the years (in thousand numbers) is?

A
250

B
310

C
435

D
560

Solution

Total sales of branches B1, B3 and B5 for both the years (in thousand numbers)
= (80 + 105) + (95 + 110) + (75 + 95)
= 560.
Question 5
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Directions For Questions

Study the bar chart and answer the question based on it.

...view full instructions

The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years?

A
2000 and 2001

B
1999 and 2000

C
1998 and 2000

D
1995 and 2001

Solution

Average production (in 10000 tonnes) of 1996 and 1997 $$\dfrac{40 + 60}{2} = 50$$
We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:
2000 and 2001 $$= \dfrac{50 + 75}{2} = 62.5$$
1999 and 2000 $$= \dfrac{65 + 50}{2} = 57.5$$
1998 and 2000 $$= \dfrac{45 + 50}{2} = 47.5$$
1995 and 1999 $$= \dfrac{25 + 65}{2} = 45$$
1995 and 2001 $$= \dfrac{25 + 75}{2} = 50$$
$$\therefore $$ The average production of 1996 and 1997 is equal to the average production of 1995 and 2001.
Question 6
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Directions For Questions

Study the bar chart and answer the questions.

...view full instructions

The sum of sales of cellular phones in the years 1999 and 2001 is equal to that in?

A
1997

B
1998

C
2000

D
2002

Solution

The sum of sales in the two years is 30,000 + 18,000 = 48,000, which is the sales value for 1997.
Question 7
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Directions For Questions

In a school, the periodical examination is held every second month. In a session during April 2001 - March 2002, a student of Class IX appeared for each of the periodical exams. The aggregate marks obtained by him in each periodical exam are represented in the line graph given below.

...view full instructions

In which periodical exams there is a fall in percentage of marks as compared to the previous periodical exams ?

A
None

B
June, 01

C
Oct, 01

D
Feb, 02

Solution

As is clear from the graph, the total marks obtained in periodical exams, go on increasing. Since, the maximum marks for all the periodical exams are the same; it implies that the percentage of marks also goes on increasing.
Thus, in none of the periodical exams, there is a fall in percentage of marks compared to the previous exam.
Question 8
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Directions For Questions

The bar graph given below shows the sales of books (in thousand number) from six branches of a publishing company during two consecutive years 2000 and 2001.

...view full instructions

What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

A
75%

B
77.5%

C
82.5%

D
87.5%

Solution

Average sales (in thousand number) of branches B1, B3 and B6 in 2000
$$= \dfrac{1}{3} \times (80+95+70) = \left( \dfrac{245}{3} \right)$$
Average sales (in thousand number) of branches B1, B2 and B3 in 2001
$$= \dfrac{1}{3} \times (105 + 65 + 110) = \left( \dfrac{280}{3} \right)$$
$$\therefore$$ Required percentage $$= \left [ \dfrac{245/3}{280/3} \times 100 \right]$$%$$= \left( \dfrac{245}{280} \times 100 \right )$$% = 87.5%
Question 9
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Directions For Questions

The bar graph given below shows the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years.

...view full instructions

What is the difference between the production of Company Z in 1998 and Company Y in 1996?

A
2,00,000 tons

B
20,00,000 tons

C
20,000 tons

D
2,00,00,000 tons

Solution

Required difference $$= [(45 - 25) \times 1,00,000 ] tons$$
$$= 20,00,000 tons.$$
Question 10
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Directions For Questions

A cosmetic company provides five different products. The sales of these five products (in lakh number of packs) during 1995 and 2000 are shown in the following bar graph.

...view full instructions

What is the approximate ratio of the sales of nail enamels in 2000 to the sales of Talcum powders in 1995?

A
7 : 2

B
5 : 2

C
4 : 3

D
2 : 1

Solution

Required ratio $$= \dfrac{37.76}{14.97} \approx 2.5 = \dfrac{5}{2}$$