Median from Frequency Distribution Table

Q.

Which of the following is not a measure of central tendency?

1. Mode

2. Median

3. Mean

4. Standard deviation

Q.

What is the median of the first $10$ natural number?

Q. The following table shows the no. of marks obtained by 41 students of a class: [3 MARKS]
$\begin{array}{ccccccc}Marks& 20& 15& 17& 30& 22& 25\\ obtained& & & & & & \\ Frequency& 10& 2& 5& 4& 12& 8\end{array}$
Find the median of marks obtained

Q.

The mean of 1, 2, 3, 4 ...n is given by

1. 

2. 

3. 

4. 

Q.

Find mean median and mode

No.of plants. 0-2. 2-4. 4-6. 6-8. 8-10. 10-12. 12-14

No.Of houses 1. 2. 1. 5. 6. 2. 3

Q. The arithmetic mean of 10 number s is 7.The arithmetic mean of 15 number s is 12., then the mean of all observations is

Q.

If the mean of the following distribution is 6, find the value of 'P'.

1. 7

2. 12

3. 6

4. 8

Q. The table below gives the time (in seconds) 30 students take to solve a question.
$$\begin{array}{cc}Time& Number\\ & ofstudents\\ 20-60& 6\\ 60-100& 4\\ 100-140& 10\\ 140-180& 4\\ 180-220& 6\end{array}$$

1. 100
2. 120
3. 110
4. 130

Q.

The mean of 6 numbers is 16. With the removal of a number the mean of remaining numbers is 17. The number removed is:

1. 11

2. 2

3. 22

4. 6

Q.

A boy scored the following marks in various tests during a term, each test being marked out of $20$.

$15,17,16,7,10,12,14,16,19,12,16$. The median marks are

1. $15$

2. $18$

3. $13$

4. $16$

Q.

If the median of the distribution given below is 28.5, then find the value of x and y.

$\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 0-10& 5\\ 10-20& x\\ 20-30& 20\\ 30-40& 15\\ 40-50& y\\ 50-60& 5\\ Total& 60\end{array}$

1. x = 6, y = 7
2. x = 6, y = 5
3. x = 8, y = 7
4. x = 4, y = 4

Q.

The double box-and-whisker plot shows the test scores for two French classes taught by the same teacher.

Express the difference in the measures of center as a multiple of the measure of variation.

Q. If the arithmetic mean of 7, 8, x, 12, 13 is x . Find the value of x .

Q.

The arithmetic mean of a data set is equal to the average of that data set.

1. True

2. False

Q. The mean of following numbers is 68. Find the value of 'x'
45, 52, 60, x, 69, 70, 26, 81 and 94
Hence, estimate the median. [3 MARKS]

Q.

The table below shows students in a class sorted according to their marks in a Maths exam :

$\begin{array}{cc}\text{Marks}& \text{No. of students}\\ 0-10& 4\\ 10-20& 12\\ 20-30& 10\\ 30-40& 8\\ 40-50& 6\end{array}$

Calculate the Median mark

1. 23

2. 24

3. 22

4. 25.5

Q.

Some households in a society are sorted according to their electricity usage and given in the table below :

$\begin{array}{cc}\text{Usage of electricity (units)}& \text{No. of households}\\ 80-90& 4\\ 90-100& 6\\ 100-110& 5\\ 110-120& 8\\ 120-130& 7\\ 130-140& 3\end{array}$

Find the median usage

1. 112

2. 111.25

3. 112.5

4. 111.875

Q.

The given table shows the salaries of 81 people in thousands. Calculate the Median from the data given.

$\begin{array}{cc}\text{Salary(in thousands)}& \text{No. of people}\\ 5-10& 7\\ 10-15& 12\\ 15-20& 15\\ 20-25& 8\\ 25-30& 11\\ 30-35& 18\\ 35-40& 10\end{array}$

Q.

The mean of the following distribution is 52. Determin the value of p.

1. 7

2. 4

3. 13

4. 6

Q.

The given table shows the salaries of 81 people in thousands. Calculate the Median from the data given.

$\begin{array}{cc}\text{Salary(in thousands)}& \text{No. of people}\\ 5-10& 7\\ 10-15& 12\\ 15-20& 15\\ 20-25& 8\\ 25-30& 11\\ 30-35& 18\\ 35-40& 10\end{array}$

1. ₹27757.5

2. ₹21287.5

3. ₹24062.5

4. ₹24007.5

Q.

Candidates of four schools appear in maths test. The data is as follows:

If the average score of the candidates is 66. Find the number of candidates appeared from School C.

1. 52

2. 45

3. 57

4. 49

Q.

Monthly wages of 10 employees of a factory are 3000, 3500, 3800, 3200, 3600, 4000, 3100, 3900, 3000 and 4000. Find the median wage

1. Rs 3500

2. Rs 3000

3. Rs 3550

4. Rs 3600

Q. Which of the following is not central tendency?

1. Mode
2. Arithmetic mean
3. Median
4. None

Q. The mean of five number is 18. On excluding one number, the mean becomes 16. find the excluded number .

Q.

The given table shows the frequency according to the class intervals.

$\begin{array}{cc}\text{Class Interval}& \text{Frequency}\\ 0-10& 10\\ 10-20& 5\\ 20-30& 8\\ 30-40& 12\\ 40-50& 16\end{array}$

Find the Median value using Step jump method.

1. 30

2. 37.6

3. 32.9

4. 27.67

Q.

Calculate the mean deviation about median for the following data

$\begin{array}{cccccc}{X}_i& 3& 9& 10& 12& 13\\ f_i& 3& 4& 5& 2& 4\end{array}$

1. 2.27

2. 2.43

3. 2.21

4. 2.56

Q.

199 students were asked how many hours they exercise each week.

The following table shows the data :

$\begin{array}{cc}\text{Time(t hours)}& \text{No. of students}\\ 0-5& 12\\ 5-10& 15\\ 10-15& 23\\ 15-20& 30\\ 20-25& 40\\ 25-30& 35\\ 30-35& 25\\ 35-40& 20\end{array}$

Find the Median of the data.

1. 20.33

2. 22.35

3. 25.5

4. 27.35

Q.

The median for the data is

$$\begin{array}{cccccccc}IQ& 60-70& 70-80& 80-90& 90-100& 100-110& 110-120& 120-130\\ No.ofpupils& 2& 3& 5& 16& 14& 13& 7\end{array}$$

1. 103.26

2. 102.86

3. 98.46

4. 97.47

Q. How to take out median?

Q. If Mean deviation about median is $7.60$ coefficient of mean deviation about median is $12.45$. Find the median____.

1. $63.75$
2. $61$
3. $62.21$
4. $59.75$