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 - The sum of deviations of the items from __________ ignoring signs is the least?
- The relationship between mean, median and mode is:
Which of the following statements are correct?
(A).When a cyclical pattern in data has a period of less than 1 year, the pattern in data is called seasonal variation
(B). When a cyclical pattern has a period more than 1 year, we refer to it as cyclical variation
(C). Seasonality is considered equivalent to forecasting
(D). Cyclical behaviour in business is also termed as business cycle
Choose the correct answer from the options given below:
