Finding Median for Grouped Data When Class Intervals Are Given

Q. If the median of the following frequency distribution is 40 and total frequency is 60, then find the missing frequencies.
$\begin{array}{cccccc}\text{Marks}& 0-10& 10-30& 30-60& 60-80& 80-90\\ \text{Number of students}& 5& f_1& 30& f_2& 2\end{array}$

1. $f_1=16,f_2=9$
2. $f_1=15,f_2=8$
3. $f_1=8,f_2=15$
4. $f_1=18,f_2=7$

Q. Find the frequency of the median class if the following information is known for a grouped data whose median is = 45:

Lower limit of median class = 25
Sum of frequencies = 100
Cumulative frequency of the class preceding the median class = 30
And, class size = 10.

1. 15
2. 25
3. 10
4. 20

Q. Calculate the median from the following data

Rent (in Rs.)	15-25	25-35	35-45	45-55	55-65	65-75	75-85	85-95
No. of Houses	8	10	15	25	40	20	15	7

1. $58$
2. $59$
3. $63$
4. $61$

Q.

Find the median of the following data:$$\begin{array}{cccccccc}\text{Class interval}& 25-35& 35-45& 45-55& 55-65& 65-75& 75-85& 85-95\\ \text{Frequency}& 12& 16& 17& 15& 8& 19& 13\end{array}$$

1. 32.33
2. 51.67
3. 58.33
4. 54.3

Q. Find the median of the given data:

$\begin{array}{cccccc}\text{Wages in (Rs.)}& 200-300& 300-400& 400-500& 500-600& 600-700\\ \text{No. of Labourers}& 3& 5& 20& 10& 6\end{array}$

1. 300
2. 420
3. 400
4. 470

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. 40-50
2. 20-30
3. 30-40
4. 50-60

Q. Mrs. Malhotra purchased solar panels for the taxable value of Rs $85,000$. She sold them for Rs $90,000$. The rate of GST is $5\%$. Find the ITC of Mrs Malhotra.

1. $4000$
2. $3500$
3. $4500$
4. $4250$

Q.

The median for the following data is _____.

$$\begin{array}{ccccc}\text{Class interval}& 0-10& 10-20& 20-30& 30-40\\ \text{Frequency}& 7& 15& 16& 12\end{array}$$

1. 25
2. 20
3. 22.5
4. 21.875

Q.

The median class for the given data is

$$\begin{array}{ccccccc}\text{Height (in cm)}& \text{Less than 140}& \text{Less than 145}& \text{Less than 150}& \text{Less than 155}& \text{Less than 160}& \text{Less than 165}\\ \text{No. of girls}& 4& 11& 29& 40& 46& 51\end{array}$$

1. 145-150

2. 155-160

3. 150-155

4. 160-165

Q. Find the correct answer from the alternative given.

Distance covered per litre (km)	12 - 14	14 - 16	16 - 18	18 - 20
No, of cars	11	12	20	7

The median of the distance covered per litre shown in the above data is in the group............

1. 12 - 14
2. 14 - 16
3. 16 - 18
4. 18 - 20

Q.

Find the median for the distribution given below.

$$\begin{array}{cccccc}Class& 200-300& 300-400& 400-500& 500-600& 600-700\\ Numberofstudents& 3& 5& 20& 10& 6\end{array}$$

1. 300

2. 420

3. 400

4. 470

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. 103.26
4. 97.47

Q.

Find the median class for the given distribution:
$\begin{array}{cccccc}Weeklywages(inRs.)& 0-100& 100-200& 200-300& 300-400& 400-500\\ No.ofworkers& 40& 39& 34& 30& 45\end{array}$

1. 100-200

2. 400-500

3. 200-300

4. 300-400