What is the mode of the given data? 5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
7
Finding the Mode of a Data Set
The question asks us to find the mode of the given data set. The mode is a measure of central tendency that represents the value that appears most frequently in a data set.
The given data set is:
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
To find the mode, we need to count how many times each number appears in the data set. Let's list the unique numbers and their frequencies:
| Number | Frequency (Count) |
|---|---|
| 3 | 1 |
| 5 | 2 |
| 6 | 1 |
| 7 | 5 |
| 8 | 1 |
| 9 | 1 |
Looking at the frequency table, we can see that the number 7 appears 5 times, which is more than any other number in the data set.
Therefore, the number that occurs with the highest frequency is 7.
The mode of the given data set is 7.
Revision Table: Measures of Central Tendency
| Measure | Definition | How to Calculate | Use Case |
|---|---|---|---|
| Mean | The average of the data set. | Sum of all values divided by the number of values. | Good for symmetrical data without outliers. |
| Median | The middle value when the data set is ordered. | Order data, find the middle value (or average of two middle values if count is even). | Good for skewed data or data with outliers. |
| Mode | The value that appears most frequently. | Count the frequency of each value and find the one with the highest count. | Useful for categorical or discrete data; shows the most common value. |
Additional Information on Mode and Data Types
The mode is particularly useful for certain types of data:
- Categorical Data: For data that fits into categories (like favorite color, type of car), the mode is the only measure of central tendency that makes sense. You can't calculate a mean or median for non-numeric categories.
- Discrete Data: For data that can only take specific, separate values (like the number of siblings, the score on a die roll), the mode identifies the most common outcome.
- Identifying Peaks: In a frequency distribution, the mode corresponds to the peak(s) of the distribution. A data set can have one mode (unimodal), two modes (bimodal), or more (multimodal). If all values appear with the same frequency, the data set has no mode.
Understanding the mode helps in summarizing the most typical observation in a data set, especially when dealing with non-continuous data.
Similar Questions
The prices (in Rs) of different yarns (per kg) in two consecutive years are as follows.
Commodity
Silk
Cotton
Jute
Rayon
Price(in 2016)
600
700
400
300
Price (in 2017)
700
600
480
270
By simple aggregative method, the net price changes in % is:
The 4 th decile for the given data is:
x
f
0
1
1
9
2
26
3
59
4
72
5
52
6
29
7
7
8
1
If the random sample size n is drawn without replacement from a finite population of size N, the correction factor for standard error of sample mean will be:
For the given figures of production of a sugar factory, the estimate of the production for 1976 using straight line trend with origin at the year 1972 by the least squares method (∑x = 0, ∑x 2= 28, ∑xy = 56) is:
Year
Production(‘000 tons) (year)
1969
76
1970
87
1971
95
1972
81
1973
91
1974
96
1975
90
Which of the following methods is NOT used in computation of a seasonal index for time series?
With reference to index numbers, which of the following statements is true?
Marshall-Edgeworth Index number.
By the method of moving averages, the seasonal index for four quarters equals to:
The null hypothesis in ANOVA one-way classification, the study of the variances due to k different sources, is:
Second differencing in time series can help to eliminate which trend?
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Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
