Q 4. The marks obtained (out of 20) by 30 students of a class in a test are as follows: 14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20. Prepare a frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 –8 (excluding 8 and including 4).
Answers
Frequency distribution table is prepared below.
Step-by-step explanation:
We are given the marks obtained (out of 20) by 30 students of a class in a test below;
14, 16, 15, 11, 15, 14, 13, 16, 8, 10, 7, 11, 18, 15, 14, 19, 20, 7, 10, 13, 12, 14, 15, 13, 16, 17, 14, 11, 10, 20.
Now, we have to prepare the frequency distribution table for the above data using class intervals of equal width in which one class interval is 4 – 8 (excluding 8 and including 4).
Class interval basically tells the range in which the values lies and also tells us that how many values lies within this interval.
Marks obtained No. of students (frequency)
4 - 8 2
8 - 12 7
12 - 16 13
16 - 20 6
20 - 24 2
Total = 30
So, here first class interval with frequency of 2 indicates that in our data there are two 2 students whose marks lies within the interval of 4 - 8 marks in our data.
Hence, this is the required frequency distribution table.