Exercise 13.2: Mode of Grouped Data
Find the mode (most frequent value) of grouped data using the formula. First identify the modal class (highest frequency), then apply the formula.
Extra Practice Questions
These questions cover the same concepts as Exercise 13.2. Try solving them to build confidence before or after the textbook exercise.
The mean of 5 numbers is 20. What is the sum of these 5 numbers?
The median of the data 3, 8, 5, 7, 6 (when arranged in order) is:
How many types of ogives are there?
Find the median of the following data: | Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | | Freq | 5 | 8 | 20 | 7 | 10 |
The class size of the class interval $20 - 30$ is:
If each observation of a data set is increased by 5, then the mean:
The mean of 30 observations is 200. Later it was found that two observations were wrongly recorded as 180 and 200 instead of 210 and 240. Find the correct mean.
Construct 'less than' cumulative frequency for: | $0-5$ | $5-10$ | $10-15$ | $15-20$ | with frequencies 2, 8, 15, 5. What is the cf for 'less than 15'?
Find the mean, median, and verify the empirical relation for: | Class | $0-10$ | $10-20$ | $20-30$ | $30-40$ | | Freq | 8 | 12 | 10 | 5 |. Which is the median class?
In the formula for mode of grouped data, $l$ represents:
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Try AI Solver — FreeCommon Mistakes to Avoid
- ✗Identifying the wrong modal class
- ✗Confusing f₀, f₁, f₂ in the formula
- ✗Not checking if the mode makes sense (should be within the modal class)
Other Exercises in Chapter 13
Frequently Asked Questions
What is the mode formula for grouped data?
Mode = l + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h, where l = lower limit of modal class, f₁ = frequency of modal class, f₀ and f₂ are adjacent frequencies, h = class width.
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