CBSE Questions for Class 11 Commerce Applied Mathematics Descriptive Statistics Quiz 5 - MCQExams.com

3 weeks


85260.jpg
  • $$7cm$$
  • $$8cm$$
  • $$9cm$$
  • $$10cm$$
2 weeks


85260.jpg
  • $$7cm$$
  • $$8cm$$
  • $$9cm$$
  • $$10cm$$
What was the maximum forecast temperature during the week?

85289.jpg
  • $$10$$
  • $$20$$
  • $$25$$
  • $$35$$
How much did Plant B grow from the end of the $$2^{nd}$$ week to the end of the $$3^{rd}$$ week?


85276_703c77b30f3e41cfad0bba46a7ff90cd.png
  • $$2 cm$$
  • $$3 cm$$
  • $$4 cm$$
  • $$5 cm$$
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
How much did Plant A grow during the 3rd week?


85272_f3284d33fad54eb3ba8a01d66fffc26f.png
  • $$2cm$$
  • $$3cm$$
  • $$4cm$$
  • $$5cm$$
What was the minimum actual temperature during the week?


85289.jpg
  • $$5$$
  • $$10$$
  • $$15$$
  • $$20$$
The value of  third quartile $$Q_3$$ for the following distribution is

Marks

Group
$$5-10$$ $$10-15$$ $$15-20$$ $$20-25$$  2$$5-30$$ $$30-35$$ $$35-40$$ $$40-45$$
No. of

Students
   $$5$$    $$6$$  $$15$$  $$10$$  $$5$$   $$4$$  $$2$$  $$1$$
  • $$15$$
  • $$21.5$$
  • $$25$$
  • $$25.5$$
For the following information of wages of $$30$$ workers in a factory, the value of $$Q_1 + Q_2 + Q_3$$ is
S. No.Wages (Rs.)S. No.Wages (Rs.)
133016240
232017330
355018420
447019380
521020450
650021260
727022330
812023440
968024480
1049025520
1140026300
1217027580
1344028370
1448029380
1562030350

  • $$1187.50$$
  • $$797.50$$
  • $$705$$
  • $$872.50$$
If the quartile deviation of a set of observations is $$10$$ and the third quartile is $$35$$, then the first quartile is :
  • $$24$$
  • $$30$$
  • $$17$$
  • $$15$$
For the following data, the value of $$Q_1 + Q_3 - Q_2$$ is :
Age in years:20304050607080
No. of members:361132153140513
  • $$Q_1$$
  • $$Q_2$$
  • $$Q_3$$
  • $$2Q_2$$
The variance of  $$20$$  observations is  $$5 .$$  If each observation is multiplied by  $$- 1$$  and added by  $$2 ,$$  then new variance is
  • $$-5$$
  • $$5$$
  • $$5.1$$
  • $$7$$
For the following data:

Weekly

Income (in Rs.):
58 59 60 61 62 63 64 65 66
No. of

Workers:
2 3 6 15 10 5 4 3 1

The value of $$\displaystyle\frac{Q_1+Q_3}{2}$$ is equal to
  • $$Q_1$$
  • $$Q_2$$
  • $$Q_3$$
  • None of these
The actual temperature differs the most from the forecast temperature on:

85289.jpg
  • Tuesday
  • Wednesday
  • Thursday
  • Friday
How far is the place of the merchant from the town?


85298.jpg
  • $$16$$
  • $$18$$
  • $$20$$
  • $$22$$
When did the person stop on his way?
85298.jpg
  • 9:00 a.m - 9.30 a.m
  • 9:30 a.m - 10.00 a.m
  • 10:00 a.m - 10.30 a.m
  • 10:30 a.m - 11.00 a.m
Fastest ride is from interval :

85298.jpg
  • 8 a.m to 9 a.m
  • 9 a.m to 10 a.m
  • 10 a.m to 11 a.m
  • 11 a.m to 12 noon
The variance of first $$ 50$$ even natural numbers is
  • $$ \displaystyle \frac{833}{4}$$
  • $$ 833$$
  • $$ 437$$
  • $$ \displaystyle \frac{437}{4}$$
The quartile deviation of the income of a certain person given in rupees for 12 months in a year:139, 150, 151,151,157,158,160,161,162,162,173,175
  • 4.5
  • 5.5
  • 6.2
  • none of these
Standard deviation for first 10  natural numbers is
  • $$5.5$$
  • $$3.87$$
  • $$2.97$$
  • $$2.87$$
The quartile deviation of daily wages (in Rs.) of 7 persons given below:
$$12,7,15,10,17,17,25$$ is
  • $$4.5$$
  • $$9$$
  • $$5$$
  • $$14.5$$
Let $${ x }_{ 1 },{ x }_{ 2 },.....{ x }_{ n }$$ be $$n$$ observations with mean $$m$$ and standard deviation $$s$$. Then the standard deviation of the observations $$a{ x }_{ 1 },a{ x }_{ 2 },.....a{ x }_{ n }$$, is
  • $$a+s$$
  • $$s/a$$
  • $$\left| a \right| s$$
  • $$as$$
Standard deviation for first 10 even natural numbers is
  • $$11$$
  • $$7.74$$
  • $$5.74$$
  • $$11.48$$
If a variable $$X$$ takes values $$0,1,2,....,n$$ with frequencies $${ _{  }^{ n }{ C } }_{ 0 },{ _{  }^{ n }{ C } }_{ 1 },{ _{  }^{ n }{ C } }_{ 2 },......{ _{  }^{ n }{ C } }_{ n }\quad $$ respectively, then S.D. is equal to :
  • $$\cfrac { n }{ 4 } $$
  • $$\cfrac { n }{ 2 } $$
  • $$\cfrac { \sqrt { n } }{ 2 } $$
  • $$\cfrac { \sqrt { n } }{ 4 } $$
If a variable $$x$$ takes values $$0,1,2,....n$$ with frequencies proportional to the binomial coefficients $${ _{  }^{ n }{ C } }_{ 0 },{ _{  }^{ n }{ C } }_{ 1 },{ _{  }^{ n }{ C } }_{ 2 },......{ _{  }^{ n }{ C } }_{ n }$$, then mean of distribution is 
  • $$\dfrac {n(n+1)}{2}$$
  • $$\dfrac { n }{ 2 } $$
  • $$\dfrac { 2 }{ n } $$
  • $$\dfrac {n(n-1)}{2}$$
Consider the frequency distribution
Class interval:
0-6
6-12
12-18
Frequency:
2
4
6
The variance of the above frequency distribution, is
  • $$24$$
  • $$12$$
  • $$20$$
  • $$25$$
The quartile deviation for the data
x :
2
3
4
5
6
f :
3
4
8
4
1
is
  • $$\cfrac { 1 }{ 2 } $$
  • $$1$$
  • $$\cfrac { 1 }{ 4 } $$
  • $$0$$
The variance of the data:
x:
$$1$$
$$a$$
$${ a  }^{ 2 }$$
......
$${ a }^{ n }$$
f:
$${ _{  }^{ n }{ C } }_{ 0 }$$
$${ _{  }^{ n }{ C } }_{ 1 }$$
$${ _{  }^{ n }{ C } }_{ 2 }$$
......
$${ _{  }^{ n }{ C } }_{ n }$$
is
  • $${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }-{ \left( \cfrac { 1+{ a } }{ 2 } \right) }^{ n }$$
  • $${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{n }-{ \left( \cfrac { 1+{ a } }{ 2 } \right) }^{2n }$$
  • $${ \left( \cfrac { 1+a }{ 2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ { a }^{ 2 } } }{ 2 } \right) }^{ n }$$
  • none of these
How many less letters were collected on Wednesday than on Tuesday?
  • $$40$$
  • $$30$$
  • $$20$$
  • $$10$$
The S.D. of the following frequency distribution is 
Class0-1010-2020-3030-40
$$\displaystyle f_{i}$$1342
  • $$7.8$$
  • $$9$$
  • $$8.1$$
  • $$0.9$$
The adjoining diagram illustrates the information collected about the number
of brothers of the boys in a certain group. What is the total number of boys in
this group?

186942_0d0cc22de083430390c1a5876905096d.png
  • $$81$$
  • $$22$$
  • $$73$$
  • $$34$$
The incomplete pictograph shows the number of stamps(1 ticket = 4 stamps) collected by four pupils:
The missing tickets represents the number of stamps collected by Anjali.
Then how many tickets collected by Anjali?

267138_527d7bd0624546619b5c4f1d5ba1f94c.png
  • $$5$$
  • $$7$$
  • $$6$$
  • $$8$$
Answer the following question by reading the given pictograph.
Number of TV sets sold in the year 2005 is

267098_ad9372ceb5724a6092ff6e8a8b1846f4.png
  • $$1000$$
  • $$500$$
  • $$50$$
  • $$2000$$
The incomplete bar graph shows the number of cookies sold by Raju in $$5$$ days. The total number of cookies sold was $$2,000$$. How many cookies were sold on Sunday?

267145_e6500bfa5b8247bba3e0b66827d39b71.png
  • $$750$$
  • $$850$$
  • $$800$$
  • $$950$$
The year in which the most number of TV sets have been sold is

267097.png
  • $$1990$$
  • $$1995$$
  • $$2008$$
  • $$2000$$
After the reading the pictograph,find the number of TV sets sold in the year $$1990$$ is

267101_311b4fbffa274bdfaa947bb89205a492.png
  • $$1000$$
  • $$1500$$
  • $$1250$$
  • $$2000$$
For a series the value of mean deviation is 15.The most likely value of its quartile deviation is 
  • 12.5
  • 11.6
  • 13
  • 9.7
The year in which the most number of TV sets have been sold is
271892_a9ff236b6a21415db15139c5d2a6e0bf.png
  • $$1980$$
  • $$1985$$
  • $$2000$$
  • $$1990$$
If one symbol of image(Ref image) Represents $$10$$ bottles of apple juice then $$35$$ bottles of apple juice represented by
271912_a6ae6cbb36954b87b757a31656bda4f8.png
The pictogram shows the number of visitors to an exhibition in a particular week. The number of visitors recorded after Wednesday is:
278063_4fcb695ad9f943e4a325d8ba603046a4.png
  • $$10$$
  • $$18$$
  • $$60$$
  • $$70$$
The bar graph shows the number of cakes sold at a shop in four days. What is the difference in number of cakes between the highest and the lowest daily sale?

267151_089b7c15fa85408cba63e8486e2d467d.png
  • $$20$$
  • $$35$$
  • $$30$$
  • $$40$$
The incomplete graph shows Dinesh's savings from January to April. Dinesh saved a total of Rs. 730 during the four months. The amount of money saved in February was as much as that saved in March. How much did he save in March?

267154_965d6a5c7a144898a51f16271f4f1f4a.png
  • Rs.$$245$$
  • Rs.$$275$$
  • Rs.$$250$$
  • Rs.$$295$$
The bar graph shows the amount of money donated by $$4$$ classes to a charity. How much more money must Class 4P donate so that their amount is the same as that of class 4S?

267149_2eb42c92bce14fef8ac9acd9bed6d181.png
  • Rs.$$20$$
  • Rs.$$60$$
  • Rs.$$40$$
  • Rs.$$100$$
The following bar graph shows the rainfall at selected locations in certain months.
Which of the following statements is correct
271589_a320480fd4454be291ccdd94b5177289.png
  • November rainfall exceeds $$100$$ cm in each location
  • September rainfall exceeds April rainfall by $$50$$ cm in each location
  • November rainfall is lower than April rainfall in each location
  • None of the above
.
271908.jpg
  • 5
  • 60
  • 10
  • 12
The pictogram shows the number of pupils who cycle to school. What is the total number of pupils who use cycle for going school?
278039_1445d80016bf40258c365ea146fbe8f5.png
  • $$10$$
  • $$300$$
  • $$420$$
  • $$450$$
Given above is a bar graph showing the heights of six mountain peaks. Read the above diagram and answer the following:
Write the ratio of the heights of highest peak and the lowest peak.
271990_e61944939cf9478ea6ff1e4a0413d861.png
  • $$22 : 15$$
  • $$15 : 22$$
  • $$20 : 13$$
  • $$13 : 22$$
Students at a local college were asked how many hours they slept last night. The adjoining chart shows the data . A bar graph of this data will be made on a grid that is 20 units. What scale would be most appropriate for the axis labelled "Number of Students" ?
Hours of SleepNumber of Students
614
726
828
915
More than 106
  • 1 unit = 1 student
  • 1 unit = 2 students
  • 1 unit = 10 students
  • 1 unit = 28 students
Standard deviation of the distribution $$1, 3, 5,....., 13$$ will be
  • $$2$$
  • $$4$$
  • $$7$$
  • None
In the following table pass percentage of three schools from the year $$2001$$ to the year $$2006$$ are given. Which school students performance is more consistent?

$$2001$$$$2002$$$$2003$$$$2004$$$$2005$$$$2006$$
School (X)$$80$$$$89$$$$79$$$$83$$$$84$$$$65$$
School (Y)$$92$$$$94$$$$76$$$$75$$$$80$$$$63$$
School (Z)$$93$$$$97$$$$67$$$$63$$$$70$$$$85$$
  • X
  • Y
  • Z
  • X and Y
The S.D. of the following freq. dist.
Class 0-1010-2020-3030-40
$$f_i$$1342
  • $$7.8$$
  • $$9$$
  • $$8.1$$
  • $$0.9$$
0:0:1


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