## 1. What is the mode of the data set: 5, 7, 9, 7, 6, 5, 5?

### Answer:

### Explanation:

The mode is the number that appears most frequently. Here, '5' appears three times, more than any other number.

## 2. The mean of five numbers is 20. If four of these numbers are 15, 20, 25, and 30, what is the fifth number?

### Answer:

### Explanation:

The sum of all five numbers is 20 x 5 = 100. The sum of the first four numbers is 90. Thus, the fifth number is 100 – 90 = 10.

## 3. Which of the following is NOT a measure of central tendency?

### Answer:

### Explanation:

Range is a measure of dispersion, not central tendency. It gives the spread of the data.

## 4. If the median of a data set is 12, it implies:

### Answer:

### Explanation:

The median divides the data set into two equal halves. Half of the data points are below the median and half are above it.

## 5. The mean of a data set is affected by:

### Answer:

### Explanation:

Extreme values, or outliers, can greatly influence the mean, making it larger or smaller than the central values.

## 6. In a frequency distribution table, the 'class width' is:

### Answer:

### Explanation:

The class width is the difference between the upper and lower boundaries of a class.

## 7. In a class interval of 10-20, if the lower limit is 10, the upper limit is:

### Answer:

### Explanation:

In the given class interval, the upper limit is clearly mentioned as 20.

## 8. A pie chart is most useful for:

### Answer:

### Explanation:

Pie charts visually represent parts of a whole, making it easier to compare different sections.

## 9. The median of an odd number of data points can be found by:

### Answer:

### Explanation:

With an odd number of data points, the median is simply the middle value.

## 10. Which of the following statements is true about the mode?

### Answer:

### Explanation:

A data set can be bimodal (two modes) or even multimodal (more than two modes).

## 11. What is the range of the data set: 5, 8, 12, 20, 25?

### Answer:

### Explanation:

The range is the difference between the highest and lowest values. Here, it is 25 – 5 = 20.

## 12. Which of the following measures is most affected by extreme values?

### Answer:

### Explanation:

The mean is highly sensitive to outliers or extreme values, while the median and mode are more robust.

## 13. The class mark of the class interval 30-40 is:

### Answer:

### Explanation:

The class mark is the midpoint of a class, which is (30+40)/2 = 35.

## 14. A histogram is used to represent:

### Answer:

### Explanation:

A histogram is a graphical representation of the distribution of a dataset, primarily used for numerical data.

## 15. The mode is the value that:

### Answer:

### Explanation:

By definition, the mode is the value that appears most often.

## 16. The measure that gives the spread or dispersion of data is:

### Answer:

### Explanation:

The range provides an indication of how spread out the values are in a data set.

## 17. The class intervals 10-20, 20-30, 30-40 are:

### Answer:

### Explanation:

Exclusive class intervals do not include the upper class boundary of one interval and the lower class boundary of the next.

## 18. If the mean of seven numbers is 30 and one of the numbers is excluded, the mean of the remaining six numbers is:

### Answer:

### Explanation:

Without knowledge about the number being excluded, we cannot determine the direction in which the mean will shift.

## 19. Which of the following is a graphical representation of data where each data item is shown as a dot above a number line?

### Answer:

### Explanation:

A dot plot is a simple representation where each data point is shown as a dot.

## 20. The median is a measure that:

### Answer:

### Explanation:

The median divides the data set into two equal parts, with half the data points being less than the median and half being greater.