## 1. The mode of the data: 3, 4, 4, 5, 5, 5, 6 is:

### Answer:

### Explanation:

Mode is the number that appears most frequently. Here, 5 appears three times, which is more frequent than any other number.

## 2. If the mean of five numbers is 20, then their sum is:

### Answer:

### Explanation:

Mean = Sum of numbers/Number of numbers. Thus, 20 = Sum/5, implying Sum = 100.

## 3. The median of the data: 10, 12, 14, 16, 18 is:

### Answer:

### Explanation:

Median is the middle number when data is arranged in order. Here, 14 is in the middle.

## 4. The range of the data set: 2, 4, 6, 8, 10 is:

### Answer:

### Explanation:

Range = Highest value – Lowest value = 10 – 2 = 8.

## 5. The variance of a data set is the:

### Answer:

### Explanation:

Variance measures the spread between numbers in a data set.

## 6. A pie chart is used to represent:

### Answer:

### Explanation:

A pie chart depicts the composition of data in percentage or fraction terms.

## 7. If the mode is greater than the median, the distribution is said to be:

### Answer:

### Explanation:

Positive skewness indicates a distribution with a longer right tail.

## 8. The mode of the data set: 1, 2, 3, 4, 4, 5, 5, 6, 7 is:

### Answer:

### Explanation:

Both 4 and 5 appear twice, which is more frequent than any other number.

## 9. Which measure of central tendency is most affected by extreme values?

### Answer:

### Explanation:

Mean gets influenced by every value in the dataset, including the extreme values.

## 10. The median of a set of 9 consecutive numbers is 20. The largest number in the set is:

### Answer:

### Explanation:

With 20 as the median and 9 consecutive numbers, the largest number is 20 + 4 = 24.

## 11. Which of the following is not a measure of dispersion?

### Answer:

### Explanation:

Median is a measure of central tendency, not dispersion.

## 12. In a 'less than' cumulative frequency graph, the highest point indicates:

### Answer:

### Explanation:

The highest point will represent the sum of all frequencies.

## 13. A bell-shaped symmetrical curve represents:

### Answer:

### Explanation:

A bell-shaped curve is characteristic of the normal distribution.

## 14. The standard deviation is the:

### Answer:

### Explanation:

Standard deviation is the positive square root of variance.

## 15. If all the observations in a data set are identical, the variance is:

### Answer:

### Explanation:

No spread or variation implies a variance of 0.

## 16. Which graph is suitable for showing the relationship between two variables?

### Answer:

### Explanation:

A scatter plot displays values for two variables for a set of data.

## 17. In a positively skewed distribution:

### Answer:

### Explanation:

In positive skewness, the tail on the right side is longer or fatter.

## 18. The mid-value of the class 20-30 is:

### Answer:

### Explanation:

Mid-value = (Lower limit + Upper limit)/2 = (20+30)/2 = 25.

## 19. Which of the following is a bivariate data?

### Answer:

### Explanation:

Bivariate data involves two different variables.

## 20. The third quartile is also known as:

### Answer:

### Explanation:

The third quartile (Q3) is the median of the upper half of the data and is also termed the upper quartile.