Here students can find a variety of range questions with detailed explanations to help them better comprehend the topic. The range provides information about the data’s distribution. It also assists us in determining whether a given data point falls inside the set range or not. We have included a number of range questions to help students to differentiate the concept “Range” from other concepts. Students can practice the questions presented here and compare their answers to the solutions provided in this article. Click here for additional information on Range.
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What is Meant by Range in Statistics? In Mathematics, the range is defined as the difference between the highest and lowest data point of the given dataset. Go through the below steps to find the range of the given dataset. Step 1: Arrange the data values in ascending or descending order. Step 2: Now, determine the lowest and the highest value in the given dataset. Step 3: Finally, find the difference between the highest and lowest data values. Step 4: The resultant value obtained in step 3 is known as the range of the given dataset. Also, read: Arithmetic Mean and Range. |
Solve the problems provided below and understand the concept very well.
Range Questions with Solutions
1. The marks scored by the students of class 10 are 45, 39, 55, 63, 49, 92, and 79. Find the range of the given dataset.
Solution:
Given dataset values: 45, 39, 55, 63, 49, 92, 79.
Now, arrange the given dataset in ascending order.
I.e., 39, 45, 49, 55, 63, 79, 92.
Here,
Highest data value = 92
Lowest data value = 39.
Therefore, Range = Highest data value – Lowest data value
Range = 92 – 39
Range = 53.
Therefore, the range of the given data is 53.
2. Find the range of the first 10 natural numbers.
Solution:
The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Here, the highest data value is 10 and the lowest data value is 1.
Now, the data is already sorted in ascending order.
Thus, range = Highest data value – Lowest data value
Range = 10 – 1
Range = 9
Hence, the range of the first 10 natural numbers is 9.
3. The runs scored by the cricketers in a match are 62, 39, 50, 89, 75, 100, and 29.
Solution:
Given data value: 62, 39, 50, 89, 75, 100, and 29.
Arranging the values in ascending order: 29, 39, 50, 62, 75, 89, 100
Now, the highest data value is 100, and the lowest value is 29.
Range = Highest data value – Lowest data value
Range = 100 – 29
Range = 71.
Hence, the range of the runs scored by the cricketers in a match is 71.
4. Find the range of the first 10 multiples of 5.
Solution:
The range of the first 10 multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
Here, the lowest value is 5 and the highest value is 50.
Hence, Range = Maximum – Minimum
Range = 50 – 5
Range = 45
Hence, the range of the first 10 multiples of 5 is 45.
5. Determine the range of 12, 21, 9, 45, 32, and 40.
Solution:
Given data: 12, 21, 9, 45, 32, 40.
Now, the ascending order of given data values is 9, 12, 21, 32, 40, and 45.
Hence, the lowest value = 9 and highest value = 45.
Range = Maximum value – Minimum value
Range = 45 – 9
Range = 36
Hence, the range of the given data values = 36.
6. Calculate the range of the first 10 prime numbers?
Solution:
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29.
Here, the lowest data value is 2 and the highest data value is 29.
We know that the formula to calculate the range is the highest data value minus the lowest data value.
Thus, Range = Highest data value – Lowest data value
Range = 29 – 2
Range = 27.
Therefore, the range of the first 10 prime numbers is 27.
7. What is the range of the first 5 even natural numbers?
Solution:
As we know, the first 5 even natural numbers are 2, 4, 6, 8 and 10.
From the given data value, the lowest value is 2 and the highest value is 10.
Hence, the range of the first 5 even natural numbers = 10 – 2 = 8.
8. Find the range of the first 5 composite numbers.
Solution:
We know that the first 5 composite numbers are 4, 6, 8, 9, and 10.
So, the lowest value in the data set is 4 and the highest value in the dataset is 10.
Thus, Range = Highest value – Lowest value
Range = 10 – 4
Range = 6
Therefore, the range of the first 5 composite numbers is 6.
9. Determine the highest value in the data set, if the range equals 40 and the lowest value should be equal to 6.
Solution:
Given that the lowest value in the dataset is 6.
And, range = 40.
As we know, Range = Highest data value – Lowest data value.
Now, substitute the values in the formula, and we get
40 = Highest value – 6
Therefore, the highest value = 40 + 6
Highest value = 46.
Hence, the highest value in the dataset is 46.
10. What is the range of the data sets 6, 2, 11, 14, 19, and 15?
Solution:
Given data set: 6, 2, 11, 14, 19, and 15.
Rearranging the data in ascending order, we get
2, 6, 11, 14, 15 and 19.
Hence,
Lowest data value = 2
Highest data value = 19
Therefore, range = Highest value – Lowest value
Range = 19 – 2
Range = 17.
Hence, the range of the given data set = 17.
Explore More Articles
- Mean Questions
- Median Questions
- Average Questions
- Integers Questions
- Real Numbers Questions
- Prime Numbers Questions
Practice Questions
Answer the following questions:
- Find the range of the first 10 odd natural numbers.
- What is the range of datasets 46, 10, 29, 18, 21, 100, and 74?
- Determine the range of the first 20 whole numbers.
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