NCERT Solutions Class 7 Maths Chapter 16 — Data Handling

Solution:

Step 1: Raw data refers to the data that has been collected but has not yet been processed, organized, or analyzed.

Step 2: It is in its original, unarranged form, which can include numerical or categorical values.

Solution:

Step 1: A frequency distribution table helps in systematically arranging raw data. It shows how often each specific value or group of values appears in a dataset.

Step 2: This organization makes it much easier to see patterns, identify the most common items, and understand the overall distribution of the data.

Solution:

Step 1: First, identify the highest score and the lowest score from the given data set.

Step 2: Highest score = 25, Lowest score = 10.

Step 3: The range is calculated as: Range = Highest score - Lowest score.

Step 4: Range = 25 - 10 = 15. Therefore, Rohan's calculation was incorrect.

Solution:

Step 1: The arithmetic mean (average) is calculated by summing all observations and dividing by the number of observations.

Step 2: For the given dataset: Mean = (5 + 8 + 12 + 15) / 4 = 40 / 4 = 10.

Step 3: The mean (10) is not one of the values in the dataset, disproving A. It is not greater than the largest value (15), disproving B. D describes the median, not the mean. The mean can indeed be a decimal or an integer, regardless of the data types, representing the central tendency.

Solution:

Step 1: To find the mode, we count the frequency of each shoe size.

Step 2: Sizes: 6 (appears 2 times), 7 (appears 3 times), 8 (appears 1 time), 9 (appears 1 time), 10 (appears 1 time).

Step 3: The shoe size 7 appears most frequently (3 times). This information is valuable for the shopkeeper to know which size is most popular and needs to be stocked more.