the following list gives the number of pets for each of 15 students.\n0, 2, 2, 0, 2, 1, 2, 1, 4, 1, 1, 4, 0…

Answer:

0, 2

Explanation:

Step1: Count frequency of each value

0:4 times, 1:4 times, 2:4 times, 3:1 time, 4:1 time

Step2: Identify most frequent values

0,1,2 all appear 4 times (highest frequency)

Step3: Confirm modes

Multiple modes: 0,2,1? Wait correction: recount data: 0,2,2,0,2,1,2,1,4,1,1,0,3,0 → let's list all 15: positions 1-15: 1(0),2(2),3(2),4(0),5(2),6(1),7(2),8(1),9(4),10(1),11(1),12(0),13(3),14(0) → wait 14 values? Wait original data: "0,2,2,0,2,1,2,1,4,1,1,0,3,0" is 14, but problem says 15. Assume typo but existing data: 0: positions1,4,12,14 →4; 2:2,3,5,7→4;1:6,8,10,11→4; 3:13→1;4:9→1. So 0,1,2 each 4 times. But if we take given data as is, modes are 0,1,2. Wait maybe I miscounted: let's do again carefully:

Data set: 0, 2, 2, 0, 2, 1, 2, 1, 4, 1, 1, 0, 3, 0 → count each number:

• 0: let's see how many times it appears: 1st element (0), 4th (0), 12th (0),14th(0) → 4 times
• 2: 2nd,3rd,5th,7th → 4 times -1:6th,8th,10th,11th →4 times -3:13th→1 -4:9th→1

So all three (0,1,2) have same highest frequency. So modes are 0,1,2. But maybe the problem had a typo. Alternatively, if the user's data is correct as written (even if 14 elements), the modes are 0,1,2. But let's check again:

Wait the user wrote: "0,2,2,0,2,1,2,1,4,1,1,0,3,0" → yes 14 numbers. But regardless, the most frequent are 0,1,2 each with 4 occurrences. So the modes are 0,1,2.

Wait correction final: the modes are 0,1,2. Because they all occur 4 times which is the highest frequency. So answer is 0,1,2.

Answer:

0,1,2

Explanation:

Step1: Count each value's occurrences

0:4, 1:4,2:4,3:1,4:1

Step2: Find values with max frequency

0,1,2 (max frequency=4)

Step3: State modes

0,1,2