Maths Quiz..Data Handling.....By Neelam Mam

The sum of values of observations divided by the number of observations is referred to as the mean. This is a measure of central tendency that provides the average value of a set of data. By adding up all the values and dividing by the total number of observations, we can determine the mean value of the data set.

The average weight of the students is found by dividing the total weight of all the students by the number of students. In this case, if the total weight is 1890 kg and the average weight is 45 kg, we can calculate the number of students by dividing the total weight by the average weight. Therefore, the number of students is 1890 kg / 45 kg = 42.

The value of the middlemost observation, when arranged in ascending or descending order, is the median. The median is a measure of central tendency that represents the middle value of a dataset. It is found by arranging the observations in order and selecting the value that falls in the middle position. The median is useful in situations where there are extreme values that could skew the mean.

The probability of getting a head when a coin is tossed one time is 1/2. This is because there are two possible outcomes when tossing a coin - either it lands on heads or tails. Since we are only interested in the probability of getting a head, and there is only one head on the coin, the probability is 1 out of 2 possible outcomes, which simplifies to 1/2.

The difference between the highest and lowest values in a set of data is called the range. It gives an indication of the spread or variability of the data. By calculating the range, we can determine how much the values deviate from each other, providing insight into the overall distribution of the data set.

The mode is the observation that occurs most frequently in a given set of data. It represents the value or values that appear with the highest frequency. In this case, the correct answer is "Mode" as it is the statistical measure that corresponds to the most commonly occurring observation in the data.

The median is the middle value of a set of data when arranged in ascending order. In this case, when the data is arranged in ascending order, it becomes 6, 7, 8, 8, 9, 9, 10, 11, 12, 15. The middle value is 9, so it is the median of the given data.

Frequency refers to the number of times a particular observation occurs in a dataset. It is a measure of how often a specific value or event is observed. In this context, the correct answer is "Frequency" because it accurately describes the concept of counting the occurrences of a particular observation in a dataset.

The mode is the value or values that appear most frequently in a dataset. It is a measure of central tendency because it represents the most common or typical value in the data. Unlike the mean and median, the mode can be used with both numerical and categorical data. It is often used to describe the most popular choice or category in a dataset.

The mean (average) of the first five whole numbers can be calculated by adding them up and dividing by the total count. In this case, the first five whole numbers are 1, 2, 3, 4, and 5. Adding them up gives a total of 15. Dividing 15 by 5 (the total count) gives a mean of 3. Therefore, the given answer of 2 is incorrect.