Question 12 Marks
Find the median of first $15$ odd numbers.
AnswerFirst $15$ odd numbers are $1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29$. Here, number of terms $(n) = 15$ which is odd $\text{Median}=\frac{\text{n}+1}{2}=\frac{15+1}{2}\text{th term} = 8th$ term $= 15$
View full question & answer→Question 22 Marks
Find the mean of first seven even natural numbers.
AnswerFirst seven even natural numbers are $2, 4, 6, 8, 10, 12, 14$
$\therefore\ \text{Mean}=\frac{2+4+6+8+10+12+14}{7}=\frac{56}{7}=8$
View full question & answer→Question 32 Marks
Find the mean of first five natural numbers.
AnswerFirst five natural numbers are $1, 2, 3, 4, 5$
$\therefore\ \text{Mean}=\frac{1+2+3+4+5}{5}=\frac{15}{5}=3$
View full question & answer→Question 42 Marks
Find the median of: $21, 15, 6, 25, 18, 13, 20, 9, 16, 8, 22$
AnswerArranging in ascending order, $6, 8, 9, 13, 15, 16, 18, 20, 21, 22, 25$
Here, number of terms $(n) = 11$
which is odd $\text{Median}=\frac{\text{n}+1}{2}=\frac{11+1}{2}\text{th term} = 16\ th$ term $= 16$
View full question & answer→Question 52 Marks
The marks of $15$ students (out of $50)$ in an examination are, $20, 22, 26, 31, 40, 19, 17, 19, 25, 29, 23, 17, 24, 21, 35$. Find the median marks.
AnswerArranging in ascending order, $17, 17, 19, 19, 20, 21, 22, 23, 24, 25, 26, 29, 31, 35, 40.$
Here, number of terms $= 15$
which is odd $\text{Median}=\frac{\text{n}+1}{2}\text{th term}=\frac{15+1}{2}=\frac{16}{2}\text{th} = 8th$ term $= 23$
View full question & answer→Question 62 Marks
Find the median of: $3, 11,7, 2, 5, 9, 9, 2, 10$
AnswerArranging in ascending order, $2, 2, 3, 5, 7, 9, 9, 10, 11$
Here, number of terms $= 9$
which is odd $\text{Median}=\frac{\text{n}+1}{2}=\frac{9+1}{2}\text{th term} = 5th$ term $= 7$
Hence median $= 7$
View full question & answer→Question 72 Marks
Find the mean of first six odd natural numbers.
AnswerFirst six odd natural numbers are $1, 3, 5, 7, 9, 1$
$\therefore\ \text{Mean}=\frac{1+3+5+7+9+11}{6}=\frac{36}{6}=6$
View full question & answer→Question 82 Marks
Find the mode of the data: $10, 8, 4, 7, 8, 11, 15, 8, 6, 8$
AnswerArranging in ascending order: $4, 6, 7, 8, 8, 8, 8, 10, 11, 15$
We see that $8$ occurs maximum times Mode $= 8$
View full question & answer→Question 92 Marks
A die was thrown $20$ times and the following outcomes ware recorded: $5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1$. Arrange the above data in ascending order and prepare the frequency table.
AnswerArranging the given data in ascending order is as given below: $1, 1, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6$ and $6$ its frequency table will be as under:
| Observatiov |
$1$ |
$2$ |
$3$ |
$4$ |
$5$ |
$6$ |
Total |
| Frequency |
$2$ |
$5$ |
$1$ |
$4$ |
$6$ |
$2$ |
$20$ |
View full question & answer→Question 102 Marks
Find the mean of first five prime numbers.
AnswerFirst five prime numbers are $2, 3, 5, 7, 11$
$\therefore\ \text{Mean}=\frac{2+3+5+7+11}{5}=\frac{28}{5}=5.6$
View full question & answer→Question 112 Marks
Find the mode of the data:
$27, 23, 39, 18, 27, 21, 27, 27, 40, 36, 27$
AnswerArranging in ascending order:
$18, 21, 23, 27, 27, 27, 27, 27, 36, 39, 40$
We see that $27$ occurs maximum times
Mode $= 27$
View full question & answer→Question 122 Marks
Find the mean of first six multiples of $5.$
AnswerFirst six multiples of $5$ are $5, 10, 15, 20, 25, 30$
$\therefore\ \text{Mean}=\frac{5+10+15+20+25+30}{6}=\frac{105}{6}=17.5$
View full question & answer→Question 132 Marks
The ages (in years) of $11$ cricket players are given below: $28, 34, 32, 41, 36, 32, 32, 38, 32, 40, 31$. Find the mode of the ages.
AnswerArranging in ascending order: $28, 31, 32, 32, 32, 32, 34, 36, 38, 40, 41$. We see that $32$ occurs maximum times Mode $= 32$ years
View full question & answer→Question 142 Marks
The daily wages (in Rs.) of $15$ workers in a factory are given below: $400, 360, 300, 300, 260, 360, 360, 400, 300, 260, 360, 360, 400, 300, 360$. Arrange the above data in ascending order and prepare the frequency table.
AnswerDaily wages in the ascending order: $130, 130, 150, 150, 150, 150, 180, 180, 180, 180, 180, 180, 200, 200, 200$ Frequency table:
| Daily wages (Rs.) |
No. of workers |
| $130$ |
$2$ |
| $150$ |
$4$ |
| $180$ |
$6$ |
| $200$ |
$3$ |
View full question & answer→Question 152 Marks
Write the data given below in ascending order and prepare the frequency table:
$7, 8, 7, 10, 6, 8, 9, 7, 10, 5, 7, 6, 8, 5, 6, 7, 8, 9, 7, 6, 7, 8.$
AnswerArranging the given data in ascending order we find $5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10$ and its frequency table will be as under.
| Observation |
$5$ |
$6$ |
$7$ |
$8$ |
$9$ |
$10$ |
Total |
| Frequency |
$2$ |
$4$ |
$7$ |
$5$ |
$2$ |
$2$ |
$22$ |
View full question & answer→Question 162 Marks
Find the median of:
$9, 25, 18, 15, 6, 16, 8, 22, 21$
AnswerArranging in ascending order,
$6, 8, 9, 15, 16, 18, 21, 22, 25$
Here, number of terms $= 9$ which is odd
$\text{Median}=\frac{\text{n}+1}{2}=\frac{9+1}{2}\text{th term}$
$= 5th$ term $= 16$
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