Question

10 what percentage of students missed 3 or fewer days during the summer program?
student attendance data
days missed | absolute freq | relative freq | cumulative freq
0 | 12 | 29.3% | 29.3%
1 | 6 | 14.6% | 43.9%
2 | 13 | 31.7% | 75.6%
3 | 2 | 4.9% | 80.5%
4 | 3 | 7.3% | 87.8%
5 | 2 | 4.9% | 92.7%
6 | 1 | 2.4% | 95.1%
7 | 2 | 4.9% | 100%
totals | 41 | 100% | 100%
source: ...
options: 75.6%, 87.8%, 80.5%, 4.9%

Explanation:

Step1: Identify the relevant data

We need the cumulative frequency for 3 or fewer days missed. Looking at the table, the cumulative frequency for days missed = 3 is 80.5%. Wait, no, let's check again. Wait, the cumulative frequency column: for days missed 0, it's 29.3%; 1: 43.9%? Wait no, the table as per the image:

Wait the table:

Days Missed | Absolute Freq | Relative Freq | Cumulative Freq
--- | --- | --- | ---
0 | 12 | 29.3% | 29.3%
1 | 6 | 14.6% | 43.9%? Wait no, maybe I misread. Wait the user's table:

Wait the table in the image:

Days Missed: 0, Absolute Freq 12, Relative Freq 29.3%, Cumulative Freq 29.3%

Days Missed: 1, Absolute Freq 6, Relative Freq 14.6%, Cumulative Freq 43.9%? Wait no, the next row:

Days Missed: 2, Absolute Freq 13, Relative Freq 31.7%, Cumulative Freq 75.6% (29.3 +14.6 +31.7 = 75.6? Wait 29.3 +14.6 is 43.9, +31.7 is 75.6. Then Days Missed: 3, Absolute Freq 2, Relative Freq 4.9%, Cumulative Freq 80.5% (75.6 +4.9 = 80.5). Wait but the question is 3 or fewer days. So cumulative frequency for days missed ≤3. So the cumulative frequency when days missed is 3 is 80.5%? Wait no, let's check the table again. Wait the user's table:

Wait the cumulative freq column:

For days missed 0: 29.3%

1: 43.9%? Wait no, maybe the cumulative freq is calculated as sum of relative freqs up to that day. Wait 0:29.3, 1:29.3+14.6=43.9, 2:43.9+31.7=75.6, 3:75.6+4.9=80.5. So 3 or fewer days: days 0,1,2,3. So cumulative freq at 3 is 80.5%. Wait but the options include 80.5% as one of them. Wait the options are 75.6%, 87.8%, 80.5%, 4.9%. So the correct one is 80.5%? Wait no, wait the table:

Wait the cumulative freq for days missed 3: let's check the table again. The table shows:

Days Missed: 3, Cumulative Freq: 80.5%? Wait the user's table:

Looking at the image, the cumulative freq column:

0: 29.3%

1: 43.9%? Wait no, maybe I misread. Wait the user's table:

Wait the rows:

0: 12, 29.3%, 29.3%

1: 6, 14.6%, 43.9%? No, maybe the cumulative freq is 29.3 (0) +14.6 (1) =43.9, then +31.7 (2) =75.6, then +4.9 (3)=80.5, then +7.3 (4)? Wait no, the next row: days missed 4, absolute freq 3, relative freq 7.3%, cumulative freq 87.8% (80.5+7.3=87.8). So 3 or fewer days: days 0,1,2,3. So cumulative freq at 3 is 80.5%. So the percentage of students who missed 3 or fewer days is 80.5%.

Step2: Confirm the cumulative frequency

The cumulative frequency for days missed ≤3 is the cumulative frequency value when days missed is 3, which is 80.5% from the table.

Answer:

80.5% (corresponding to the option with 80.5%)