19, 14, 11, 20, 18, 17, 14, 10, 11, 11
The mode of the given data is:
Understanding Mode in Data Sets
The question asks us to find the mode of the marks scored by 10 students. The mode is a measure of central tendency that represents the value that appears most frequently in a data set.
Data Set Analysis
First, let's list the marks scored by the 10 students:
19, 14, 11, 20, 18, 17, 14, 10, 11, 11
Calculating Frequency to Find the Mode
To find the mode, we need to count how many times each score appears in the data set. We can organize this information in a table:
| Score | Frequency (Number of Students) |
|---|---|
| 10 | 1 |
| 11 | 3 |
| 14 | 2 |
| 17 | 1 |
| 18 | 1 |
| 19 | 1 |
| 20 | 1 |
Identifying the Mode
By looking at the frequency count, we can see which score occurred most often:
- The score 10 appears 1 time.
- The score 11 appears 3 times.
- The score 14 appears 2 times.
- The scores 17, 18, 19, and 20 each appear 1 time.
The score that appears most frequently is 11, as it occurs 3 times.
Conclusion on Mode
Therefore, the mode of the given data set is 11.
Important Questions from Elementary Statistics (Notes)
Let $X_1, X_2, X_3$ be a random sample of size 3 from an absolutely continuous distribution that is symmetric about 0. For $i=1,2,3$, let $R_i$ denote the rank of $|X_i|$ among $|X_1|, |X_2|$ and $|X_3|$.
If $T^+ = \sum_{i=1, X_i>0}^3 R_i$
is the Willcoxon signed-rank statistic, then which of the following statements are true?,
- Which of the following is the first step in calculating the median of data set?
1. Average the middle two values of the data set
2. Array the data
3. Determine the relative weights of the data values in terms of importance
4. Find the average distance of the observations in the data set from the mean - If the median of a data is 61.54 less than its mode, then the median of the data exceeds its mean by _____. (Use the empirical formula to find the answer)
The mean marks of the following distribution is:
Marks Obtained No. of Students 81 15 35 4 73 3 56 16 - The geometric mean of 100 observations is 25. If each observation is multiplied by 4, what will be the new geometric mean?
