Frequency

Q. A survey shows that 63% of the Indians like Paneer whereas 76% like Tofu. If x% of the Indians like both Paneer and Tofu, then which of the following is/are correct?

1. Maximum value of x is 63.
2. Maximum value of x is 76.
3. Minimum value of x is 39.
4. Minimum value of x is 0.

Q.

For a symmetrical frequency distribution , we have

(a) mean<mode<median (b) mean>mode>median

(c) mean = mode = median (d) mode=$\frac{1}{2}(mode+median)$

Q.

If the sum of all the frequencies is 24, then the value of z is:
$\begin{array}{cccccc}Variable\left(x\right)& 1& 2& 3& 4& 5\\ Frequency& z& 5& 6& 1& 2\end{array}$

1. 4
2. 8
3. 6
4. 10

Q.

Question 4
The lengths of 40 leaves of a plant are measured correct to the nearest millimeter, and the data obtained is represented in the following table:

$\begin{array}{cc}Length\left(inmm\right)& Numberofleaves{f}_i\\ 118-126& 3\\ 127-135& 5\\ 136-144& 9\\ 145-153& 12\\ 154-162& 5\\ 163-171& 4\\ 172-180& 2\end{array}$

Find the median length of the leaves.

Q. Solve problem 4 by step-deviation method.

Q.

The ___ of a class interval is the sum of frequencies of all the classes up to this class interval.

1. frequency

2. cumulative frequency

3. class mark

4. range

Q.

The following is the distribution of weights (in $\mathrm{kg}$) of $40$ persons : Weight (in $\mathrm{kg}$)

$40-45,45-50,50-55,55-60,60-65,65-70,70-75,75-80$.

Number of persons $4,4,13,5,6,5,2,1$

Construct a cumulative frequency distribution (of the less than type) table for the data above.

Q.

I had my exam today. I knew all the answers to the question but I left with minimum time to do it. I left 2-3 questions to do because I had no time to do that. I have very slow calculation to do I wasted my much time to calculate. Sometimes I do multiply but i check it again to ensure it. I have no confidence in calculation. I want to increase my calculation please give me tips and advice for my better. Please please please😌😌

Q. ​​The following table gives the life-time (in days) of 100 electric bulbs of a certain brand.

Life-time (in days)	Less than 50	Less than 100	Less than 150	Less than 200	Less than 250	Less than 300
Number of bulbs	7	21	52	79	91	100

From this table, construct the frequency distribution table.

Q.

Can you please provide me with a few questions of Real numbers for practicing for my assessment

Q. The information of the sale of laptops and TVs in millions from 2004–09 is given below.
Find the ratio of the sale of laptops in 2004, 2006, and 2007 to the sale of TVs in 2008 and 2009.

1. 75:55
2. 70:50
3. 55:55
4. 75:50

Q.

The following table shows the cumulative frequency distribution of marks of $800$ students in an examination
Marks Number of students
Below $10-10$
Below $20-50$
Below $30-130$
Below $40-270$
Below $50-440$
Below $60-570$
Below$70-670$
Below$80-740$
Below $90-780$
Below $100-800$
Construct a frequency distribution table for the data above.

Q. How many possibilities are there in each of the following?
(1) Vanita knows the following sites in Maharashtra. She is planning to visit one of them in her summer vacation.
Ajintha, Mahabaleshwar, Lonar Sarovar, Tadoba wild life sanctuary, Amboli, Raigad, Matheran, Anandavan.
(2) Any day of a week is to be selected randomly.
(3) Select one card from the pack of 52 cards.
(4) One number from 10 to 20 is written on each card. Select one card randomly.

Q.

The following table gives the marks obtained by the students of a class in an exam out of 50.

$\begin{array}{cc}\text{Marks}& \text{No. of Students}\\ Below10& 5\\ Below20& 10\\ Below30& 23\\ Below40& 31\\ Below50& 40\end{array}$

(i) Convert the cumulative frequency distribution into a regular frequency distribution.

(ii) Find the mean. [3 MARKS]

Q. There are Deer and Peacock in a zoo. By counting heads they are $80$. The number of their legs in $200$. How many Peacock are there?

1. $20$
2. $30$
3. $50$
4. $60$

Q.

The frequency of leap year from 2000 to 2020 is ___ (years 2000 and 2020 are included).

Q.

Find the frequency of 40 in the following given set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

1. 1

2. 2

3. 3

4. 4

Q.

If the sum of all the frequencies is 24, then the value of z is:
$\begin{array}{cccccc}Variable\left(x\right)& 1& 2& 3& 4& 5\\ Frequency& z& 5& 6& 1& 2\end{array}$

1. 4

2. 6

3. 8

4. 10

Q. The marks obtained by 10 students in a mathematics test are
given here: 52, 46, 92, 78, 62, 44, 34, 46, 58, 52.
The presentation of data in the above manner is called _________.

1. ungrouped frequency table
2. grouped frequency table
3. median table
4. critical table

Q. Integer used to represent a with-drawal of $Rs.200$ is

1. $+Rs.200$
2. depositing $Rs.200$
3. $-Rs.200$
4. $-200$

Q.

In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?

1. Einstein

2. Tesla

3. Newton

4. Hawking

Q.

If the mean of the data is 60, find the value of p

$\begin{array}{cc}Classinterval& frequency\\ 25-35& 12\\ 35-45& 16\\ 45-55& p\\ 55-65& 15\\ 65-75& 8\\ 75-85& 19\\ 85-95& 13\end{array}$ [2 MARKS]

Q. The marks obtained by 10 students in a mathematics test are
given here: 52, 46, 92, 78, 62, 44, 34, 46, 58, 52.
The presentation of data in the above manner is called _________.

1. ungrouped frequency table
2. grouped frequency table
3. median table
4. critical table

Q.

The heights (in cm) of students of a class is tabulated below.
$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ 170-174& 2\\ 175-179& 2\\ 180-184& 4\\ 185-190& 2\end{array}$
The cumulative frequency for the class interval 179.5 - 184.5 is ?

1. 20

2. 2

3. 6

4. 18

Q. If the frequencies of first four numbers out of 1, 2, 4, 6, 8 are 2, 3, 3, 2 respectively, then the frequency of 8 if their A.M. is 5, is

1. 4
2. 5
3. 6
4. none of these

Q.

The frequency of occurring 28th day in a month for the year 2019 from January to December is 11.

1. True

2. False

Q. The relationship between mean, median and mode for a moderately skewed distribution is

1. Mode = Median + 2 Mean

2. Mode =2 Median - 3 Mean

3. Mode =3 Median - 2 Mean

4. Mode =3 Median - Mean

Q.

Given that ε R, solve the following inequality:

-1 < 3 + 4 < 23

1. –2 < < 6 ε R

2. –1 < < 6 ε R

3. –1 < < 5 ε R

4. –1 < < 5 ε R

5. –2 < < 5 ε R

Q.

In a data some particular observation has not occurred, then the frequency for that observation is ___

Q. Find the mean of the following data

Marks	1 - 10	11 - 20	21 30	31 - 40	41 -50	51 - 60	61 - 70
No. of student	6	5	8	15	7	6	3