Question 1

What is the range of the following data: 12, 8, 15, 20, 5, 10?

Accepted Answer

To find the range, subtract the lowest observation from the highest observation. Here, the highest value is 20 and the lowest value is 5. Range = Highest value - Lowest value = 20 - 5 = 15.

Question 2

Find the arithmetic mean of the first five natural numbers.

Accepted Answer

The first five natural numbers are 1, 2, 3, 4, 5. Mean = (Sum of observations) / (Number of observations) = (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Question 3

What is the mode of the data: 2, 3, 4, 5, 2, 3, 2, 6, 7, 2?

Accepted Answer

The mode is the observation that occurs most frequently. Counting the frequencies: 2 appears 4 times, 3 appears 2 times, 4 appears 1 time, 5 appears 1 time, 6 appears 1 time, 7 appears 1 time. Since 2 has the highest frequency, the mode is 2.

Question 4

Find the median of the data: 7, 13, 9, 15, 11.

Accepted Answer

First, arrange the data in ascending order: 7, 9, 11, 13, 15. The number of observations is 5 (odd). The median is the middle term, which is the 3rd term, i.e., 11.

Question 5

If a coin is tossed, what is the probability of getting a head?

Accepted Answer

A coin has two faces: Head (H) and Tail (T). Total possible outcomes = 2. Favorable outcomes for getting a head = 1. Probability = (Favorable outcomes) / (Total outcomes) = 1 / 2.

Data Handling