If the maximum number of students has obtained 52 marks out of 80, then
Show Hint
- 52 is the mean of the data.
- 52 is the median of the data.
- 52 is the mode of the data.
- 52 is the range of the data.
The Correct Option is C
Solution and Explanation
The maximum number of students have obtained 52 marks out of 80.
Step 1: Understand what is mode
- Mode of a data set is the value or observation which occurs most frequently.
- It represents the most common value in the data.
Step 2: Analyze the given statement
- "Maximum number of students obtained 52 marks" means 52 is the score that appears most often.
- This implies 52 is the highest frequency in the data.
Step 3: Conclusion based on definition
- Since mode is the most frequently occurring value,
- And 52 marks is obtained by maximum students,
- Hence, 52 is the mode of the data.
Final Answer:
\[ \boxed{52 \text{ is the mode of the data}} \]
Top Questions on Mode of Grouped Data
The modal class of the following table will be:
\[ \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 0-5 & 5 \\ \hline 5-10 & 8 \\ \hline 10-15 & 12 \\ \hline 15-20 & 10 \\ \hline 20-25 & 7 \\ \hline \end{array} \]- UP Board X - 2025
- Mathematics
- Mode of Grouped Data
The modal class of the following table will be:
\[ \begin{array}{|c|c|c|c|c|c|} \hline \text{Class Interval} & 0\text{--}5 & 5\text{--}10 & 10\text{--}15 & 15\text{--}20 & 20\text{--}25 \\ \hline \text{Frequency} & 2 & 7 & 11 & 8 & 6 \\ \hline \end{array} \]- UP Board X - 2025
- Mathematics
- Mode of Grouped Data
- The following data gives the information on the observed lifetimes (in hours) of 225 electrical components :Determine the modal lifetimes of the components.
Lifetimes (in hours)
0 - 20
20 - 40
40 - 60
60 - 80
80 - 100
100 - 120
Frequency
10
35
52
61
28
29
- CBSE Class X
- Mathematics
- Mode of Grouped Data
A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :
Number of cars 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 Frequency 7 14 13 12 20 11 15 8 - CBSE Class X
- Mathematics
- Mode of Grouped Data
The following table shows the ages of tha year:
Age (in years)
5 - 15
15 - 25
25 - 35
35 - 45
45 - 55
55 - 65
Number of patients
6
11
21
23
14
5
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
- CBSE Class X
- Mathematics
- Mode of Grouped Data
Questions Asked in CBSE X exam
- Describe the historical factors that contributed to the emergence of nationalist tensions in the Balkans.
- CBSE Class X - 2025
- The Rise of Nationalism in Europe
(i) Study the diagram and name the parts marked as A, B, C, and D.
(ii) Write the function of A and C.
- CBSE Class X - 2025
- Electricity
- Why was the Indian subcontinent significant to trade networks before European intervention? Explain.
- CBSE Class X - 2025
- The Making of a Global World
On the day of her examination, Riya sharpened her pencil from both ends as shown below.
The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.- CBSE Class X - 2025
- Mensuration
- Arrange the following events in chronological order and choose the correct option:
1. The Treaty of Vienna
II. The beginning of Napoleonic wars
III. Proclamation of the Prussian King William I as German Emperor
IV. Proclamation of Victor Emmanuel II as the King of Italy- CBSE Class X - 2025
- The Rise of Nationalism in Europe