4, 6, 11, 17, 18, 3, 11, 21, 5, 11
Data Set Statistics Calculation
This guide explains how to compute the mean of the range and the mode using the provided data set.
Given Data
The data set provided is: 4, 6, 11, 17, 18, 3, 11, 21, 5, 11.
1. Range Calculation
To find the range, we first need the minimum and maximum values. Let's sort the data:
Sorted Data: 3, 4, 5, 6, 11, 11, 11, 17, 18, 21.
Minimum Value = 3
Maximum Value = 21
The range is calculated as:
\(Range = Maximum Value - Minimum Value\)
\(Range = 21 - 3 = 18\)
2. Mode Identification
The mode is the number that appears most often in the data set.
Observing the sorted data (3, 4, 5, 6, 11, 11, 11, 17, 18, 21), the number 11 occurs 3 times, more than any other number.
Mode = 11
3. Mean of Range and Mode Calculation
The final step is to calculate the mean of the range (18) and the mode (11).
Mean is calculated by summing the values and dividing by the count of values (which is 2 in this case).
\(Mean = (Value1 + Value2) / 2\)
\(Mean \ of \ Range \ and \ Mode = \frac{18 + 11}{2}\)
\(Mean \ of \ Range \ and \ Mode = \frac{29}{2}\)
\(Mean \ of \ Range \ and \ Mode = 14.5\)
Conclusion
The computed mean of the range and mode for the given data set is 14.5.
Similar Questions
- What is the mode of the following data?
44, 45, 51, 50, 53, 54, 46, 40, 51, 46, 40, 42, 55, 42, 44, 55, 49, 44 - The marks obtained by 9 students of a class in mathematics are 76, 85, 47, 67, 85, 76, 47, 76, 67. What is the mode of these numbers?
- What is the mode of the following data?
89, 76, 76, 88, 81, 81, 65, 90, 83, 89, 64, 63, 78, 64, 82, 87, 79, 89, 87, 65, 86, 77, 80, 70, 67 - What is the mode of the following data?
86, 84, 71, 82, 82, 63, 84, 71, 70, 86, 88, 65, 71, 81, 87, 60, 60, 74, 78, 62, 75, 66, 68, 85, 72 - What is the mode of the following data?
89, 89, 64, 86, 64, 79, 81, 85, 82, 81, 75, 85, 82, 84, 61, 82, 81, 64, 74, 71, 61, 68, 77, 64, 79 - What is the mode of the following data?
55, 50, 48, 43, 55, 41, 54, 51, 41, 45, 53, 54, 52, 41, 49, 54, 41, 49 - What is the mode of the following data?
70, 70, 73, 71, 74, 69, 80, 68, 66, 66, 89, 83, 81, 86, 82, 74, 86, 87, 67, 72, 62, 76, 86, 65, 62 - What is the mode of the following data?
78, 60, 85, 76, 84, 86, 73, 89, 78, 77, 60, 63, 62, 72, 61, 78, 67, 77, 61, 78, 75, 61, 88, 66, 69 - What is the mode of the following data?
70, 79, 66, 89, 68, 80, 82, 80, 71, 84, 69, 68, 61, 85, 71, 84, 68, 86, 73, 75, 83, 88, 64, 88, 65 - What is the mode of the following data?
48, 42, 46, 42, 44, 43, 48, 49, 48, 45, 53, 46, 47, 47, 49, 53, 50, 41
Important Questions from Elementary Statistics
What is the mode of the given data?
3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2What is the mode of the given data?
21, 22, 23, 23, 24, 21, 22, 23, 21, 23, 24, 23, 21, 23A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
The data given below shows the number of people who have saved a certain amount of money.
Saving (In Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the median of the given data?
If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.
