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Explain Bot To find the mode in a continuous series when the highest frequency is repeated two times, you need to follow these steps:
1. Arrange the data in ascending order.
2. Calculate the width of the class interval by subtracting the lower class limit of any class interval from the lower class limit of the next class interval.
3. Determine the lower limit and upper limit for each class interval.
4. Find the frequency count for each class interval.
5. Identify the class interval with the highest frequency.
6. Repeat the class interval with the highest frequency twice.
7. Calculate the midpoint of the repeated class interval by summing up the lower limit and upper limit and dividing the result by 2.
8. The midpoint of the repeated class interval is the mode.
Let's take an example to illustrate the steps:
Data:
10, 15, 18, 21, 25, 25, 30, 32, 36, 38, 40, 41, 45, 48, 50, 55
Step 1: Arrange the data in ascending order:
10, 15, 18, 21, 25, 25, 30, 32, 36, 38, 40, 41, 45, 48, 50, 55
Step 2: Calculate the width of the class interval. Here, we do not have class intervals as it is a continuous series.
Step 3: Determine the lower and upper limits of each class interval.
No class intervals in this case.
Step 4: Find the frequency count for each class interval.
No class intervals in this case.
Step 5: Identify the class interval with the highest frequency.
The class interval with the highest frequency is 25.
Step 6: Repeat the class interval with the highest frequency twice.
25, 25
Step 7: Calculate the midpoint of the repeated class interval.
Midpoint = (25 + 25) / 2 = 25
Step 8: The mode of the continuous series is 25.
So, in this case, the mode of the continuous series with the highest frequency repeated two times is 25.