Question 1 1 / -0
Direction (7-8) : Read the following bar graph and answer the questions given below.
Which state has the maximum total production of rice and wheat?
Solution
Total production of rice and wheat in U.P. = 8 + 15 = 23 tonnes Total production of rice and wheat in W.B. = 10 + 2 = 12 tonnes Total production of rice and wheat in M.P. = 4 + 4 = 8 tonnes Total production of rice and wheat in Maharashtra = 3 + 2 = 5 tonnes Total production of rice and wheat in Haryana = 3 + 5 = 8 tonnes So, total production of rice and wheat is maximum in U.P.
Question 2 1 / -0
Number of Wicket taken by a team in series of $$10$$ matches are $$2, 3, 4, 5, 0, 1, 3, 3, 4, 3$$ find the mode of the set.
Solution
Mode is the highest occurring figure in a series. It is the value
in a series of observation that repeats maximum number of times and which
represents the whole series as most of the values in the series revolves around
this value.
Since, 3 is occurring the highest number of times. Therefore, 3 is the mode.
Question 3 1 / -0
What is the mode value for the numbers $$5, 8, 6, 4, 10, 15, 18, 10$$?
Solution
Mode is the highest occurring figure in a series. It is the value
in a series of observation that repeats maximum number of times and which
represents the whole series as most of the values in the series revolves around
this value. Since in the given series, 10 is occurring the highest number of times. Therefore, 10 is the mode of the series of given observations.
Question 4 1 / -0
The choices of the fruits of 42 students in a class are as follows: A, O, B, M, A, G, B, G, A, G, B, M. A, O, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O, where A, B, G, M and O stands for Apple, Banana, Grapes, Mango and Orange respectively. Which two fruits are liked by an equal number of students?
Solution
Number of students like Apple $$= 9$$ Number of students like Orange $$= 7$$ Number of students like Banana $$= 8$$ Number of students like Grapes $$= 8$$ Number of students like Mango $$= 10$$ So, Banana and Grapes are liked by equal number of students
Question 5 1 / -0
Khilona earned scores of $$97$$, $$73$$ and $$88$$ respectively in her first three examinations. If she scored $$80$$ in the fourth examination, then her average score will be
Solution
When earned scores are $$97,73,88$$ then
Average $$=\dfrac{97+73+88}{3}\Rightarrow 86.$$
When $$80$$ is added in the score list then
Average $$=\dfrac{97+73+88+80}{4}\Rightarrow 84.5$$
Hence, the average is decreased by $$1.5.$$
Question 6 1 / -0
If the mode of five observations, in order, $$0, 2, 3, m, 5$$ is $$3$$ then $$m =$$ _______.
Solution
If the mode of five observation, in order, $$0, 2, 3, m, 5$$ is $$3$$,
then $$m = 3$$.
Question 7 1 / -0
Mode of the data $$3,2,3,2,3,5,6,6,5,3,2,5$$ is
Question 8 1 / -0
Find the average of the following set of scores $$253,124,255,534,836,375,101,443,760$$
Question 9 1 / -0
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Question 10 1 / -0
In a school marks obtained by $$10$$ students in mathematics test as given below: $$18, 12, 36, 24, 40, 60, 23, 09, 70, 62$$ Find Range of this data :
Solution
$$ Formula\,used $$ $$ Range=highest\,value-\,lowest\,value $$ $$ Given $$ $$ marks\text{ obtained by 10 students as } $$ $$ \text{18,12,32,24,40,60,23,09,70,62} $$ $$ \text{Arrange the marks in increasing order as} $$ $$ 09,12,18,23,24,32,40,60,62,70 $$ $$ Range=70-09=61 $$