Question

basketball points
minutes | points
0 - 7 | 10
8 - 15 | 12
16 - 23 | 11
24 - 31 | 14
32 - 39 | 12

the table above shows the points made by a high school basketball team during 5 time intervals in the game. what is the modal class?

a 0 - 7
b 8 - 15
c 16 - 23
d 24 - 31
e 32 - 39

Explanation:

Step1: Recall the definition of modal class

The modal class is the class interval with the highest frequency (in this case, the highest number of points? Wait, no, wait. Wait, the table is "Minutes" (class intervals) and "Points" (frequency? Wait, no, maybe the "Points" here is the frequency? Wait, the problem says "the points made by a high school basketball team during 5 time intervals". Wait, maybe the "Points" column is the frequency (number of times? Or the total points? Wait, no, the modal class in a frequency distribution is the class with the highest frequency. Wait, maybe here the "Points" is the frequency. Let's check the values: 10, 12, 11, 14, 12. Wait, no, wait the class intervals are 0 - 7, 8 - 15, 16 - 23, 24 - 31, 32 - 39. The "Points" column: 10, 12, 11, 14, 12. Wait, the highest value in the "Points" column is 14, which corresponds to the class interval 24 - 31? Wait, no, wait maybe I misread. Wait, the table is:

Minutes	Points
8 - 15	12
16 - 23	11
24 - 31	14
32 - 39	12

Wait, but the modal class is the class with the highest frequency. Wait, maybe the "Points" here is the frequency (number of occurrences or total points? Wait, no, the problem says "the points made by a high school basketball team during 5 time intervals". Wait, maybe each row is a time interval (minutes) and the points scored in that interval. Then the "frequency" would be... Wait, no, the modal class in a grouped frequency distribution is the class interval with the highest frequency. But here, maybe the "Points" is the frequency? Wait, no, the values are 10, 12, 11, 14, 12. So the highest value is 14, which is in the class 24 - 31? Wait, but let's check the options. Option D is 24 - 31. Wait, but wait, maybe I made a mistake. Wait, no, the modal class is the class with the highest frequency. If the "Points" column is the frequency (number of times or the count), then 14 is the highest, so the class 24 - 31. But wait, let's check again. Wait, the table is:

Minutes (class interval) | Points (frequency)
0 - 7 | 10
8 - 15 | 12
16 - 23 | 11
24 - 31 | 14
32 - 39 | 12

So the frequencies are 10, 12, 11, 14, 12. The highest frequency is 14, which is in the class 24 - 31. So the modal class is 24 - 31.

Step2: Identify the highest frequency

Looking at the "Points" column (assuming it's frequency), the values are 10, 12, 11, 14, 12. The maximum value is 14, which corresponds to the class interval 24 - 31.

Answer:

D. 24 - 31