Median of Frequency Distribution

Q.

Find the median of the following data distribution.
$\begin{array}{ccccccccc}Marksobtained& 20& 29& 28& 33& 42& 38& 43& 25\\ Numberofstudents& 6& 28& 24& 15& 2& 4& 1& 20\end{array}$

1. 28.5
2. 29
3. 30
4. 40

Q.

Calculate the mean and the median for the following continuous frequency distributions.

$\begin{array}{cccccccc}Class& 0-10& 10-20& 20-30& 30-40& 40-50& 50-60& 60-70\\ f_i& 6& 8& 20& 25& 15& 10& 4\end{array}$

1. 34, 32.1

2. 34.25, 32.4

3. 34.20, 32.4

4. 34.20, 32.1

Q. Question 13
The following is the frequency distribution of duration for 100 calls made on a mobile phone :

$\begin{array}{cc}Duration\left(ins\right)& Numberofcalls\\ 95-125& 14\\ 125-155& 22\\ 155-185& 28\\ 185-215& 21\\ 215-245& 15\end{array}$
Calculate the average duration (in sec) of a call and also find the median from a cumulative frequency curve.

Q.

Find the median for the following data.

$$\begin{array}{cccccc}Observation& 3& 6& 7& 9& 10\\ Frequency& 8& 10& 15& 9& 8\end{array}$$

1. 3
2. 6
3. 7
4. 9

Q. Question 7
30 children were asked about the number of hours they watched TV programs last week. The results are recorded as under:

$\begin{array}{ccccc}Numberofhours& 0-5& 5-10& 10-15& 15-20\\ Frequency& 8& 16& 4& 2\end{array}$

Can we say that the number of children who watched TV for 10 or more hour in a week is 22? Justify your answer.

Q. The total number of observations, which are below a certain value are known as

1. class boundaries
2. class marks
3. Cumulative frequency
4. Variances

Q.

The median for the following distribution of data is ____.

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

1. 102.86
2. 98.46
3. 97.47
4. 103.26

Q. The following table gives the life time of 200 neon lamps. Find the median class.

1. 2500 - 3000
2. 1000 - 1500
3. 1500 - 2000
4. 3000 - 3500

Q. Find the value of A, B, C and in the below data table.

1. A = 9
2. C = 22
3. B = 8
4. D = 58

Q. Complete the following cumulative frequency table
Cumulative frequency cumulative frequency
​​Class. Frequency. ( Less than type ) ( more than type)
100-500 45
500-1000 19.
1000-1500. 16.
1500-2000. 2.
2000-2500. 5
Sir, complete the following table where the numbers are not written and send me as soon as possible because tomorrow is my algebra paper

Q.

The age of the employees in a startup company is shown below.

$\begin{array}{cc}\text{Age}& \text{No. of Employees}\\ 18-26& 30\\ 26-34& 70\\ 34-42& 50\\ 42-50& 30\\ 50-58& 10\\ 58-66& 10\end{array}$

Find the median age of the employees of the company. [3 MARKS]

Q. Which of the following option(s) is / are correct?

1. B = 2
2. C = 6
3. D = 17
4. F = 24

Q.

Find the median class for the below distribution.
$\begin{array}{cc}Class& Cumulativefrequency\\ 10-20& 3\\ 20-30& 17\\ 30-40& 24\\ 40-50& 33\\ 50-60& 51\end{array}$

1. 20-30

2. 30-40

3. 50-60

4. 40-50

Q.

What is the median class for the data?

$\begin{array}{cc}Classinterval& frequency\\ 0-10& 7\\ 10-20& 13\\ 20-30& 14\\ 30-40& 5\\ 40-50& 11\end{array}$ [2 MARKS]

Q.

Question 7
The distribution below gives the weights of 30 students of a class. Find the median weight of the students.
$\begin{array}{cccccccc}Weight\left(inkg\right)& 40-45& 45-50& 50-55& 55-60& 60-65& 65-70& 70-75\\ Numberofstudents& 2& 3& 8& 6& 6& 3& 2\end{array}$

Q. The median for the given data is . $$\begin{array}{cccccc}Observation& 3& 6& 7& 9& 10\\ Frequency& 8& 10& 15& 9& 8\end{array}$$

1. 7
2. 3
3. 6

Q. The following table gives the life time of 200 neon lamps. Find the median class.

1. 3000 - 3500
2. 1000 - 1500
3. 2500 - 3000
4. 1500 - 2000

Q.

The times (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below

$\begin{array}{ccccccc}Class& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ Frequency& 2& 4& 5& 71& 48& 20\end{array}$

The number of athletes who completed the race in less than 14.6 s is

1. 71

2. 82

3. 130

4. 11

Q.

The below table shows the profit made by a group of shops in mall. Then the median is

$\begin{array}{ccccccc}Profitpershoplessthan\left(\%\right)& 10& 20& 30& 40& 50& 60\\ No.ofshops& 12& 30& 57& 77& 94& 100\end{array}$

1. 27.4

2. 31.2

3. 26.8

4. 23.7

Q. The data below shows the number of times of all outcomes of a dice. Find the frequency of getting a number greater than 2 but less than or equal to 5.

1. 10
2. 12
3. 22
4. 18