问题1.下表显示了一个行业每周7天每天的电视机产量。
Day | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
Number of tv sets | 300 | 400 | 150 | 250 | 100 | 350 | 200 |
用象形文字表示以上信息。
解决方案:
The pictograph of the above information can be represented as follows :
问题2.下表显示了特定月份内五个经销商销售的Maruti汽车的数量:
Dealer | saya | Bagaa links | DD motors | Bhasin Motors | competent |
cars sold | 60 | 40 | 20 | 15 | 10 |
用象形文字表示以上信息。
解决方案:
The pictograph of the above information can be represented as follows :
问题3.不同人口普查年份的德里州人口如下:
Census year | 1961 | 1971 | 1981 | 1991 | 2001 |
Population in lakhs | 30 | 55 | 70 | 110 | 150 |
借助条形图表示上述信息。
解决方案:
The bar graph of the above information can be represented as follows :
问题4.阅读下面显示的条形图,并回答以下问题:
(i)条形图给出的信息是什么?
(ii)代理商出售了多少张阿萨姆邦彩票?
(iii)哪个州售出的门票最多?
(iv)陈述是对还是错。
售出的最大票数是售出的最小票数的三倍。
(v)售出的最低票数是在哪个州?
解决方案:
(i) The bar graph represents the information of the number of tickets of different state lotteries sold by an agent on a day.
(ii) Number of tickets of Assam State Lottery were sold by the agent is equal to 40.
(iii) The state of Haryana sold the maximum numbers of tickets, equivalent to 100.
(iv) The state of Haryana sold the maximum numbers of tickets, equivalent to 100. The state of Rajasthan sold the maximum numbers of tickets, equivalent to 20. The maximum number of tickets sold is five times the minimum number of tickets sold.
Therefore, the statement is false.
(v) The state of Rajasthan sold the maximum numbers of tickets, equivalent to 20.
问题5.研究表示该城镇中各个年龄段的人数的条形图。观察条形图并回答以下问题:
(i)年龄最小的人占年龄最大的人的百分比是多少?
(ii)该镇的总人口是多少?
(iii)60-65岁年龄段的人数是多少?
(iv)10至15岁年龄段的人数多于30至35岁年龄段的人数?
(v)居住在该镇的1200人的年龄段是多少?
(vi)50-55岁年龄段的城市人口总数是多少?
(vii)10-15岁和60-65岁年龄段的城市人口总数是多少?
(vii)总体而言,人口是否随着年龄组的增加而增加,减少或保持不变。
解决方案:
(i) According to the bar graph, youngest age-group is 10-15 years and the number of persons belonging to this group is equal to 1400.
The oldest age-group, however, is 70-75 years and the number of persons belonging to this group = 300
Calculating, we get,
The percentage of youngest age-group persons compared to those in the oldest group is as below:
1400/300 × 100 = 1400/3
(ii) Total population of the town = 300 + 800 + 900 + 1000 + 1100 + 1200 + 1400 = 6700
(iii) Number of persons belonging in the age group 60 – 65 = 800.
(iv) Number of persons belonging in the age group 10 – 15 = 1400
Number of persons in the age group 30-35 = 1100.
Hence the number of more persons in the age group 10 – 15 than the group 30-35 is 1400 — 1100 = 300.
(v) Age group of the 1200 people living in the town is equal to 20 – 25.
(vi) Total number of persons living in the town in the age-group 50 – 55 is equivalent to 900.
(vii) Total number of persons living in the town in the age-groups 10 -15 and 60 – 65 is equivalent to 1400 + 800 = 2200.
(viii) Since, we can see that the height of the bars decreases as the age-group increases. Therefore, the population decreases with the increases in the age-group, as per the bar graph.
问题6.阅读图中所示的条形图,并回答以下问题:
(i)条形图给出的信息是什么?
(ii)1977年有多少家商业银行?
(iii)1969年的商业银行与1980年的商业银行的比率是多少?
(iv)陈述是非题:
1983年的商业银行数量不到1969年的商业银行数量的两倍。
解决方案:
(i) The information depicted by the bar graph is a number of commercial banks in India during same years.
(ii) In 1977, the number of commercial banks were 130.
(iii) Ratio of banks in 1969 to 1980 is equivalent to 90 : 150 = 3:5
(iv) Number of banks in 1983 = 230 and the number of banks in 1969 = 90
∴ Number of banks in 1983 is less than double the number of banks in 1969. Therefore, this statement is false.
问题7.下面的条形图显示了100名学生在数学论文中获得的50分。阅读条形图并回答以下问题:
(i)决定将数学作业簿分发给成绩不超过20分的学生,并为每位此类学生分发一本作业簿。如果工作簿的成本为T5,则购买工作簿需要多少金额?
(ii)每个成绩最高的学生都有资格获得? 10.分配奖金需要多少钱?
(iii)成绩最低的每个学生每天必须解决5个问题。这个小组的学生每天总共要解决多少个问题?
(iv)陈述是对还是错。 。
(a)17%的学生获得40至49分的分数。
(b)59名学生的分数在10到29之间。
(v)获得不到20分的学生人数是多少?
(vi)获得29分以上的学生人数是多少?
(vii)获得分数在9到40之间的学生人数是多少?
(viii)最高分数组的学生人数是多少?
(ix)获得19分以上的学生人数是多少?
解决方案:
(i) Students getting less than 20 marks = 27 + 12 = 39
Cost of 1 work book = ₹5
Therefore, Total cost of 39 books = 39 × 5 = ₹195
(ii) No. of students getting the highest mark group is equivalent to 17
∴ Amount paid at the rate of Rs. 10 to each = 10 x 17 = Rs. 170
(iii) The Lowest mark group = 27
∴ Total number of problems given is equivalent to 27 x 5 = 135
(iv) (a) The statement is true
(b) The statement is false
(v) No. of students getting less than 20 marks is equivalent to 27 + 12 = 39
(vi) No. of students getting more than 29 marks is equivalent to 24 + 17 = 41
(vii) No. of students getting marks between 9 and 40 is equivalent to 12 + 20 + 24 = 56
(viii) No. of students to the highest mark group is equivalent to 17
(ix) No. of students setting more than 19 marks is equivalent to 20 + 24 + 17 = 61
问题8.阅读以下条形图并回答以下问题:
(i)条形图给出的信息是什么?
(ii)陈述以下各项,无论是对还是错。
(a)1957年的政府公司数目是1982年的1:9。
(b)在1957年至1983年间,政府公司的数量有所减少。
解决方案:
(i) The information depicts the number of government companies in India during some years.
(ii) (a) The number of government companies in 1957 is that of 1982 is 1 : 8. Therefore, the statement is false
(b) The number of government companies have increased over the year 1957 to 1983. Therefore, The statement is false
问题9.阅读以下条形图并回答以下问题:
(i)条形图提供了哪些信息?
(ii)哪个州是大米的最大生产国?
(iii)哪个州是最大的小麦生产国?
(iv)哪个州的稻米和小麦总产量最高?
(v)哪个国家的小麦和大米总产量最低?
解决方案:
(i) The bar graph shows the production of rice and wheat in different states of India.
(ii) West Bengal is the largest producer of rice.
(iii) U.P is the largest producer of wheat.
(iv) U.P has the maximum production of wheat and rice.
(v) Maharashtra has the minimum production of wheat and rice.
问题10.下面的条形图表示特定学校XI类的50名学生的身高(厘米)。研究图表并回答以下问题:
(i)身高超过149厘米的学生占学生总数的百分之几?
(ii)班上有多少学生在班上的最大身高范围内?
(iii)学校希望为身高低于150厘米的每个学生提供一种特殊的补品,以提高其身高。如果每个学生进补的费用是Rs。 55,需要多少钱?
(iv)在班上最短身高范围内的学生人数是多少?
(v)陈述是真还是假:
(a)全班有9名学生,身高在155-159厘米之间。
(b)班上一名学生的最大身高(以厘米为单位)为17。
(c)全班有29名学生,身高在145-154厘米之间。
(d)班级的学生的最小身高(厘米)在140-144厘米范围内。
(e)班上身高不足150厘米的学生人数为12。
(f)有14名学生,每个学生的身高超过154厘米。
解决方案:
(i) No. of students having more than height of 149 cm = 17 + 9 + 5 = 31
Therefore, percentage of students having more than height of 149 cm= 31/50 x 100 = 62%
(ii) Total no. of students in the range of maximum height is equivalent to 5
(iii) Total no. of students below the height of 150 cm is equivalent to 7 + 12 = 19
Cost of tonic for each student = ₹55
Therefore, Total cost of 19 = ₹55 x 19 = ₹1045
(iv) No. of students with the shortest height is equivalent to 7
(v) The following statements hold the following truth values :
(a) True
(b) False
(c) True
(d) True
(e) False
(f) True