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Data Handling Test - 12

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Data Handling Test - 12
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  • Question 1
    1 / -0
    Median of the observatios $$5$$, $$7$$, $$14$$, $$12$$, $$15$$, $$17$$, $$17$$, $$5$$, $$14$$, $$7$$, $$5$$ is
    Solution
    By arranging the given no's in increasing order, we get:
     $$ 5,5,5,7,7,12,14,14,15,17,17 $$
     Total terms $$= 11$$
    since, the middle most term is $$ 6^{th} $$.
    $$\therefore $$ value of median is $$12$$
    $$\therefore $$ Option $$B$$ is correct.

  • Question 2
    1 / -0
    Find the mode of $$14$$, $$25$$, $$14$$, $$28$$, $$18$$, $$17$$, $$18$$, $$14$$, $$23$$, $$22$$, $$14$$, $$18$$.
    Solution
    Here, we arrange the data in the ascending order :- $$14,14,14,14,17,18,18,18,22,23,25,28$$
    The value $$14$$ has maximum frequency. 
    Therefore, the mode of the data is $$14$$.
  • Question 3
    1 / -0
    The runs scored by Sachin in $$5$$ test matches are $$140$$, $$153$$, $$148$$, $$150$$ and $$154$$ respectively. Find his mean
    Solution
    Runs score by Sachin in $$5$$ test matches: $$140,153,148,150,154$$
    Mean of runs $$= \cfrac{\text{Total runs}}{\text{Number of matches}}$$
    Mean $$= \cfrac{140 + 153 + 148 + 150 + 154}{5}$$
    Mean $$= \cfrac{745}{5}$$
    Mean $$= 149$$
  • Question 4
    1 / -0
    Mean of a set of observations is the value which
    Solution
    Mean is the value which is the representative of the whole group. As, this takes into account all the values present in the group and averages them.
  • Question 5
    1 / -0
    Find the mean of $$43, 51, 50, 57$$ and $$54$$.
    Solution
    Mean of $$43, 51, 50, 57, 54$$
    Mean $$= \cfrac{\text{Sum}}{\text{Number of observations}}$$
    Mean $$= \cfrac{43 + 51 + 50 + 57 + 54}{5} = \cfrac{255}{5} = 51$$
  • Question 6
    1 / -0
    Find the mean of the following data: $$18, 33, 30, 21$$ and $$13$$.
    Solution
    Given set of data is $$18,33,30,21,13$$
    Arranging the data in ascending order, we get $$13,18,21,30,33$$
    No of terms(numbers) $$=n=5$$ 
    Mean $$=\dfrac{\text{Sum of numbers}}{n}$$
              $$=\dfrac{13+18+21+30+33}{5}=\dfrac{115}{5}=23$$
    Thus, Mean of given data is $$23$$.
    Hence, option B is correct.
  • Question 7
    1 / -0
    The heights of $$6$$ boys in a group are $$142$$ cm, $$154 $$ cm, $$146$$ cm, $$145$$ cm, $$151$$ cm and $$150$$ cm. Find the mean height per boy
    Solution
    Mean height $$=\cfrac{\text{Sum of the height of the all boys}}{\text{No. of boys}}$$
                          $$=\cfrac{142+154+146+145+151+150}{6}$$
                          $$=\cfrac{888}{6}=148$$ cm
    Hence, the mean height is $$148$$ cm.
  • Question 8
    1 / -0
    Find the mean of the observations $$8, 12, 16, 22, 10$$ and $$4$$.
    Solution
    The given observations are: $$8, 12, 16, 10, 22, 4$$
    Mean $$= \cfrac{\text{Sum}}{\text{Number of observations}}$$
    Mean $$= \cfrac{8+ 12 + 16 + 10 + 22 + 4}{6} = \cfrac{72}{6} = 12$$
  • Question 9
    1 / -0
    Mode is
    Solution
    The value which occurs the maximum number of times in the dataset or which has the highest frequency is the mode of the dataset.
  • Question 10
    1 / -0
    Sachin scored $$80 $$ and $$120$$  runs respectively in the two innings of a cricket match. What would have been his average score in each innings?
    Solution
    $$\Rightarrow$$  Runs scored by Sachin in fist innings $$=80$$
    $$\Rightarrow$$  Runs scored by Sachin in fist innings $$=120$$
    $$\Rightarrow$$  Total runs scored in two innings by Sachin $$=80+120=200$$
    $$\Rightarrow$$  Average scored of Sachin in each innings $$=\dfrac{200}{2}=100$$

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