Sample QuestionsMean, Median and Mode of Ungrouped Data questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The mean of $100$ items was found to be $64.$ Later on it was discovered that two items were misread as $26$ and $9$ instead of $36$ and $90$ respectively. The correct mean is:
Answer: C.
View full solution →Mode of the data $15, 17, 15, 19, 14, 18, 15, 14, 16, 15, 14, 20, 19, 14, 15$ is:
Answer: B.
View full solution →If each observation of the data is decreased by $8$ then their mean:
- A
- ✓
- C
- D
becomes $8$ times the original mean.
Answer: B.
View full solution →If the mean of five observations $x, x + 4, x + 6$ and $x + 8$ is $11$ then the value of $x$ is:
Answer: C.
View full solution →The mean weight ofa six boys in a group is $48\ kg.$ The individual weights of five of them are $51\ kg, 45\ kg, 49\ kg, 46\ kg$ and $44\ kg.$ The weight of the $6^{th}$ boy is:
- A
$52\ kg.$
- ✓
$52.8\ kg.$
- C
$53\ kg.$
- D
$47\ kg.$
Answer: B.
View full solution →The mean weight of a class of $34$ students is $46.5\ kg$. If the weight of the teacher is included, the mean rises by $500g$. Find the weight of the teacher.
View full solution →Find the mean of: The first eight natural numbers.
The average height of $30$ boys was calculated to be $150\ cm$. It was detected later that one value of $165\ cm$ was wrongly copied as $135\ cm$ for the computation of the mean. Find the correct mean.
View full solution →Find the mean of: All prime numbers between $50$ and $80.$
View full solution →The mean weight of a class of $36$ students is $41kg$. If one of the students leaves the class then the mean is decreased by $200g.$ Find the weight of the student who left.
View full solution →Find the mean of daily wages of $40$ workers in a factory as per data given below:
|
Daily wages (in Rs.)$(x_i)$
|
$250$
|
$300$
|
$350$
|
$400$
|
$450$
|
|
Number of workes $(f_i)$
|
$8$
|
$11$
|
$6$
|
$10$
|
$5$
|
View full solution →The mean of $12$ numbers is $40$. If each numbers is divided by $8$, what will be the mean of the new numbers?
View full solution →The marks of $15$ students in an examination are $25, 19, 17, 24, 23, 29, 31, 40, 19, 20, 22, 26, 17, 35, 21$. Find the median score.
View full solution →Find the median of: $17, 19, 32, 10, 22, 21, 9, 35$
View full solution →Find the median of: $72, 63, 29, 51, 35, 60, 55, 91, 85, 82$
View full solution →Find the value of $p$, when the mean of the following distribution is $20$.
|
x
|
$15$
|
$17$
|
$19$
|
$20 + p$
|
$23$
|
|
f
|
$2$
|
$3$
|
$4$
|
$5p$
|
$6$
|
View full solution →The mean of the following distribution is $50$.
|
x
|
$10$
|
$30$
|
$50$
|
$70$
|
$90$
|
|
f
|
$17$
|
$5a + 3$
|
$32$
|
$7a - 11$
|
$19$
|
Find the value of a and hence the frequencies of $30$ and $70$. View full solution →If the mean of the following data is $20.2$, find the value of $p$.
|
Variable $(x_i)$
|
$10$
|
$15$
|
$20$
|
$25$
|
$30$
|
|
Frequency $(f_i)$
|
$6$
|
$8$
|
$p$
|
$10$
|
$6$
|
View full solution →The numbers $50, 42, 35, (2x + 10), (2x - 8), 12, 11, 8$ have been written in a descending order. If their median is $25$, find the value of $x$.
View full solution →Find the median of the data $46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90$. In the above data, if $41$ and $55$ are replaced by $61$ and $75$ respectively what will be the new nedian?
View full solution →The mean of $24$ number is $35$. If $3$ is added to each number, what will be the new mean?
View full solution →The ages (in years) of $10$ teachers in a school are $32, 44, 53, 47, 37, 54, 34, 36, 40, 50$. Find the median age.
View full solution →The mean of $15$ numbers is $27$. If each number is multiplied by $4$, what will be the mean of the new numbers?
View full solution →The aggregate monthly expenditure of a family was $Rs. 18720$ during the first $3$ months, $Rs 20340$ during the next $4$ months and $Rs. 21708$ during the last $5$ months of a year. If the total saving during the year be $Rs. 35340$ find the average monthly income of the family.
View full solution →The mean of $20$ numbers is $43$. If $6$ is subtacted from each of the numbers, what will be the new mean?
View full solution →