Maharashtra Board Class 7 Maths Chapter 15 Set 55 Statistics Solutions

Question 1. The height of 30 children in a class is given in centimeters. Draw up a frequency table of this data. 131, 135, 140, 138, 132, 133, 135, 133, 134, 135, 132, 133, 140, 139, 132, 131, 134, 133, 140, 140, 139, 136, 137, 136, 139, 137, 133, 134, 131, 140
Answer: Solution:

In simple words: To create a frequency table, count how many times each height appears in the given data and represent these counts using tally marks and numerical frequencies.

🎯 Exam Tip: Ensure accurate counting for each data point and clear representation of tally marks and frequencies to score full marks.

Question 2. In a certain colony, there are 50 families. The number of people in every family is given below. Draw up the frequency table. 5, 4, 5, 4, 5, 3, 3, 3, 4, 3, 4, 2, 3, 4, 2, 2, 2, 2, 4, 5, 1, 3, 2, 4, 5, 3, 3, 2, 4, 4, 2, 3, 4, 3, 4, 2, 3, 4, 5, 3, 2, 3, 2, 3, 4, 5, 3, 2, 3, 2
Answer: Solution:

In simple words: Count the occurrences of each number of people per family from the given data set and organize them into a frequency table with tally marks and their numerical counts.

🎯 Exam Tip: Double-check the total frequency to ensure it matches the total number of families provided in the question.

Question 3. A dice was cast 40 times and each score noted is given below. Draw up a frequency table for this data. 3, 2, 5, 6, 4, 2, 3, 1, 6, 6, 2, 3, 5, 3, 5, 3, 4, 2, 4, 5, 4, 2, 6, 3, 3, 2, 4, 3, 3, 4, 1, 4, 3, 3, 2, 2, 5, 3, 3, 4.
Answer: Solution:

In simple words: Count how many times each number (1 to 6) appeared when the dice was cast and record these counts as frequencies and tally marks in a table.

🎯 Exam Tip: Make sure the sum of frequencies equals the total number of casts (40) to ensure correctness.

Question 4. The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores. 3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2.
Answer: Solution:

In simple words: Create a frequency table by counting how many children need 2, 3, 4, or 5 chapatis, using tally marks and numerical frequencies.

🎯 Exam Tip: Always verify that the sum of all frequencies matches the total number of children given in the problem statement.

Maharashtra Board Class 7 Maths Chapter 15 Statistics Practice Set 55 Intext Questions and Activities

Question 1. Make groups of 10 children in your class. Find the average height of the children in each group. (Textbook pg. no. 96)
Answer: Solution: (Students should attempt the above activities on their own.) In simple words: This activity requires students to practically measure heights in small groups and calculate the average height for each group.

🎯 Exam Tip: While an activity, understanding how to calculate an average (sum of values / count of values) is a key concept that may appear in exams.

Question 2. With the help of your class teacher, note the daily attendance for a week and find the average attendance. (Textbook pg. no. 96)
Answer: Solution: (Students should attempt the above activities on their own.) In simple words: This activity involves collecting daily attendance data for a week and then calculating the average attendance over those days.

🎯 Exam Tip: This exercise reinforces the concept of calculating an average from daily observations, a fundamental skill in statistics.