Find the mode of the following frequency distribution :
| Class | Frequency |
| 50 – 59 | 5 |
| 60 – 69 | 20 |
| 70 – 79 | 40 |
| 80 – 89 | 50 |
| 90 – 99 | 30 |
| 100 – 109 | 6 |
WBBSE
Class X
Mathematics
Statistics
04 Mark
2023
| Class | Class boundary | Frequency |
| 50 – 59 | 49.5 – 59.5 | 5 |
| 60 – 69 | 59.5 – 69.5 | 20 |
| 70 – 79 | 69.5 – 79.5 | 40 |
| 80 – 89 | 79.5 – 89.5 | 50 |
| 90 – 99 | 89.5 – 99.5 | 30 |
| 100 – 109 | 99.5 – 109.5 | 6 |
Modal class = 79.5 – 89.5
- = 79.5
- =Â 50
- = 40
- = 30
- =Â 10
Mode = 79.5 + (50 - 40\over 2×50 - 40 - 30) × 10
= 79.5 + (10\over 30) × 10
= 79.5 + (100\over 30)
= 82.833
Related Questions
More WBBSE Moderate level questions
1/12
Q.
If the arithmetic mean and total frequency of the following distribution are 50 and 120...
A.
Class x f fx 0 - 20 10 17 170 20 -...
Q.
Draw an ogive on the graph paper after calculating the cumulative frequency (less than type)...
A.
Class Interval Frequency CF 0 - 10 1 1 10 - 20...
Q.
The median of following data is 32. Find the value of x and y if...
A.
Class Interval Frequency (f) CF 0 - 10 10 10 10 -...
Q.
Find the median of the data from the following distribution
A.
Class int Class boundary frequency (f) CF 0 - 9 0 -...
Q.
Find the mode from the following data
A.
The class with the highest frequency is 20 – 25, so it...
Q.
Construct the table of cumulative frequency (greater than type) and draw the ogive from the...
A.
Class Cummulative Frequency Greater than 0 100 Greater than 10 93 Greater...
Q.
27, 31, 46, 52, x, y + 2, 71, 79, 85, 90 are in increasing...
A.
(d) 126 Explanation: n = 10 (even) median = or, 64 =...
Q.
If 6, 8, 10, 12, 13, x are in increasing order and their mean and...
A.
Numbers in ascending order are 6, 8, 10, 12, 13, x Mean...
Q.
State True or False: The Mode of the data 5, 2, 4, 3, 5, 2,...
A.
False Explanation the mode is 2 as well as 5
Q.
The median of the numbers 8, 15, 10, 11, 7, 9, 11, 13 and 16...
A.
11 Explanation 7, 8, 9, 10, 11, 11, 13, 15, 16 Here...
Q.
Three values ​​of a variable are 4, 5 and 7, if their frequencies are p...
A.
(d) 4 Explanation Mean = or, 5.4 = or, 5.4 = or,...
Q.
The age of 100 persons present in a workshop is given in the following table....
A.
Age Group Number of People (f) Midpoint (x) fx 10 - 20...