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81. The table shows the percentage of total population of a city in different age group. Study the table and answer the questions.
If the different between the number of people in the age groups (46 - 55) and (16 - 25) is 0.975 million, then the total population (in millions) of the city is:
(18.25 - 15)% = 0.975 millions
3.25% = 0.975
Age Group | Percent |
Up to 15 16 - 25 26 - 35 36 - 45 46 - 55 56 - 65 | 20.00 18.25 16.75 16.25 15.00 12.50 |
66 and above | 1.25 |
If the different between the number of people in the age groups (46 - 55) and (16 - 25) is 0.975 million, then the total population (in millions) of the city is:
Solution:
Difference = 0.975 millions(18.25 - 15)% = 0.975 millions
3.25% = 0.975
82. Study the table and answer the questions.
Average height (in cm) of the girls whose heights are 155 cm and above is about-
Multiply them by their respective frequency and then divide by total no. of girls.
Height (in cm.) | Numbers of Girls |
Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165 | 4 11 29 40 46 51 |
Average height (in cm) of the girls whose heights are 155 cm and above is about-
Solution:
Take value of class interval 155 - 160 and 160 - 165 i.e. 157.5 and 162.5.Multiply them by their respective frequency and then divide by total no. of girls.
83. Study the table and answer the questions.
The number of girls whose height is above 150 cm is:
∴ Required answer
= 11 + 6 + 5
= 22
Height (in cm.) | Numbers of Girls |
Less than 140 Less than 145 Less than 150 Less than 155 Less than 160 Less than 165 | 4 11 29 40 46 51 |
The number of girls whose height is above 150 cm is:
Solution:
Change into class intervalHeight | No. of girls | |
135 - 140 | . . . . . | 04 |
140 - 145 | . . . . . | 07 |
145 - 150 | . . . . . | 18 |
150 - 155 | . . . . . | 11 |
155 - 160 | . . . . . | 06 |
160 - 165 | . . . . . | 05 |
= 11 + 6 + 5
= 22
84. The following table gives zone-wise survey report of the people of a country who take coffee. Study the table and answer the questions.
The ratio of the total number of people surveyed who take coffee more than 3 times a day to the total number of people who do not take coffee at all is-
= 410 + 310 + 700 + 1450
= 2870
Total number of people who do not take coffee at all
= 950 + 430 + 620 + 50
= 2050
∴ Required ratio
= 2870 : 2050
= 1.4 : 1
Take Coffee | Zone | |||
North | East | West | South | |
More than 3 times a day | 410 | 310 | 700 | 1450 |
1 to 3 times a day | 1220 | 830 | 1250 | 1120 |
Twice a week | 1640 | 710 | 950 | 420 |
Only once a week | 620 | 540 | 530 | 350 |
Never | 950 | 430 | 620 | 50 |
The ratio of the total number of people surveyed who take coffee more than 3 times a day to the total number of people who do not take coffee at all is-
Solution:
Number of people who take coffee more than 3 times a day= 410 + 310 + 700 + 1450
= 2870
Total number of people who do not take coffee at all
= 950 + 430 + 620 + 50
= 2050
∴ Required ratio
= 2870 : 2050
= 1.4 : 1
85. The following table gives zone-wise survey report of the people of a country who take coffee. Study the table and answer the questions.
The percentage of people of south zone who take coffee at least once a day close to:
= 1450 + 1120 + 420 + 350 + 50
= 3390
People who take coffee at least once a day
= 1120 + 1450
= 2570
∴ Required percentage
Take Coffee | Zone | |||
North | East | West | South | |
More than 3 times a day | 410 | 310 | 700 | 1450 |
1 to 3 times a day | 1220 | 830 | 1250 | 1120 |
Twice a week | 1640 | 710 | 950 | 420 |
Only once a week | 620 | 540 | 530 | 350 |
Never | 950 | 430 | 620 | 50 |
The percentage of people of south zone who take coffee at least once a day close to:
Solution:
People in south zone= 1450 + 1120 + 420 + 350 + 50
= 3390
People who take coffee at least once a day
= 1120 + 1450
= 2570
∴ Required percentage
86. The following table gives zone-wise survey report of the people of a country who take coffee. Study the table and answer the questions.
The percentage of people from north-west zone who take coffee only once a week is approximately.
= 620 + 540 + 350
= 1510
∴ Required percent
Take Coffee | Zone | |||
North | East | West | South | |
More than 3 times a day | 410 | 310 | 700 | 1450 |
1 to 3 times a day | 1220 | 830 | 1250 | 1120 |
Twice a week | 1640 | 710 | 950 | 420 |
Only once a week | 620 | 540 | 530 | 350 |
Never | 950 | 430 | 620 | 50 |
The percentage of people from north-west zone who take coffee only once a week is approximately.
Solution:
People who take coffee only once a week in there zones= 620 + 540 + 350
= 1510
∴ Required percent
87. The following table show the world production of steel in 1920 - 1927. Study the table and answer the questions.

The average production of steel is:
= 77.0975 million tons
≈ 77.10 million tons
Year | Production (in million tons) |
1920 | 71.30 |
1921 | 43.51 |
1922 | 67.66 |
1923 | 76.23 |
1924 | 77.23 |
1925 | 88.93 |
1926 | 91.75 |
1927 | 100.17 |

The average production of steel is:
Solution:
The average production during (1920 - 1927)= 77.0975 million tons
≈ 77.10 million tons
88. The following table show the world production of steel in 1920 - 1927. Study the table and answer the questions.

The difference of the production of steel in the year 1923 and 1924 is x% of 1927. Then the value of x approximately.
Year | Production (in million tons) |
1920 | 71.30 |
1921 | 43.51 |
1922 | 67.66 |
1923 | 76.23 |
1924 | 77.23 |
1925 | 88.93 |
1926 | 91.75 |
1927 | 100.17 |

The difference of the production of steel in the year 1923 and 1924 is x% of 1927. Then the value of x approximately.
Solution:
89. The following table show the world production of steel in 1920 - 1927. Study the table and answer the questions.

The ratio of production of steel in the year 1924 and 1925 to that of 1923 and 1927 is:
Year | Production (in million tons) |
1920 | 71.30 |
1921 | 43.51 |
1922 | 67.66 |
1923 | 76.23 |
1924 | 77.23 |
1925 | 88.93 |
1926 | 91.75 |
1927 | 100.17 |

The ratio of production of steel in the year 1924 and 1925 to that of 1923 and 1927 is:
Solution:
90. The following table show the world production of steel in 1920 - 1927. Study the table and answer the questions.

The number of years during which the company has its production less than the average production during 1920 - 1927 is approximately.
= 77.0975 (million tons)
The required number of year
= 4 (1920, 1921, 1922, 1923)
Year | Production (in million tons) |
1920 | 71.30 |
1921 | 43.51 |
1922 | 67.66 |
1923 | 76.23 |
1924 | 77.23 |
1925 | 88.93 |
1926 | 91.75 |
1927 | 100.17 |

The number of years during which the company has its production less than the average production during 1920 - 1927 is approximately.
Solution:
The average production during (1920 - 1927)= 77.0975 (million tons)
The required number of year
= 4 (1920, 1921, 1922, 1923)