The mode of the following data is __________. 13, 15, 31, 12, 27, 13, 27, 30, 27, 28 and 16
27
Given:
13, 15, 31, 12, 27, 13, 27, 30, 27, 28, and 16
Concept Used:
We need to identify the value that appears most frequently in the data set.
To do this, we count the number of occurrences of each value in the data set,
and then determine which value has the highest frequency.
Calculation:
Using this method, we can create a frequency table as follows:
| Value | Frequency |
|---|---|
| 12 | 1 |
| 13 | 2 |
| 15 | 1 |
| 16 | 1 |
| 27 | 3 |
| 28 | 1 |
| 30 | 1 |
| 31 | 1 |
From the frequency table, we can see that the value 27 appears three times,
which is more than any other value in the data set. Therefore, the mode of the data set is 27.
∴ The mode of the given data set is 27.
The given table represents the monthly income of 100 families of a locality.
Monthly income range (in Rs.) | Number of families |
Income more than Rs. 10,000 | 100 |
Income more than Rs. 13,000 | 85 |
Income more than Rs. 16,000 | 69 |
Income more than Rs. 19,000 | 50 |
Income more than Rs. 22,000 | 33 |
Income more than Rs. 25,000 | 15 |
The number of families having income range (in Rs.) 19000 - 22000 is:
Find the mode for the given distribution (rounded off to two decimal places).
| Class Interval | 5-10 | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 |
| Frequency | 8 | 7 | 6 | 9 | 11 | 10 |
The arithmetic mean of the following data is _________.
23, 17, 20, 19, 21
The median of the following data will be _________.
32, 25, 33, 27, 35, 29 and 30
For a sample data, mean = 60 and median = 48. For this distribution, the mode is:
The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set:
What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
In tossing a coin, let the probability of turning up a head be p . The hypotheses are H 0∶ p = 0.4 vs H 1 ∶ p = 0.6. H 0is rejected if there are five or more heads in six tosses. Then the power of the test is:
For ANOVA two-way classification, to test two types of cloth in fashion trends, we have the following table.
Source of Variations | SS | Df | MSS | F-Ratio |
Variety A | 280 | 2 | 140 | 42.04 |
Variety B | α | 3 | 34.03 | |
Error | 20 | β | 3.33 | |
Total | 640 | 11 |
The arithematic average of Edgeworth - Marshal index number
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.