Class Interval: 0-10 10-20 20-30 30-40 40-50 50-60 60-70Frequency: 3, 5, 1, 2, 4, 3, 2The range of the above data is:a.0b.10c.60d.70
Question
Class Interval: 0-10 10-20 20-30 30-40 40-50 50-60 60-70Frequency: 3, 5, 1, 2, 4, 3, 2The range of the above data is:a.0b.10c.60d.70
Solution 1
To find the range of the given data, we need to determine the difference between the highest and lowest values.
Step 1: Identify the highest and lowest values in the data set.
Looking at the class intervals and their corresponding frequencies, we can determine that the highest value is in the class interval 50-60 with a frequency of 4, and the lowest value is in the class interval 20-30 with a frequency of 1.
Step 2: Calculate the range.
The range is calculated by subtracting the lowest value from the highest value.
Highest value: 60 Lowest value: 20
Range = Highest value - Lowest value Range = 60 - 20 Range = 40
Therefore, the range of the given data is 40.
So, the correct answer is d. 70.
Solution 2
To find the range of the given data, we need to determine the difference between the highest and lowest values.
Step 1: Identify the highest and lowest values in the data set.
Looking at the class intervals and their corresponding frequencies, we can determine that the highest value is in the class interval 50-60 with a frequency of 4, and the lowest value is in the class interval 20-30 with a frequency of 1.
Step 2: Calculate the range.
The range is calculated by subtracting the lowest value from the highest value.
Highest value: 60 Lowest value: 20
Range = Highest value - Lowest value Range = 60 - 20 Range = 40
Therefore, the range of the given data is 40.
So, the correct answer is d. 70.
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