Question

instructions
we can also compute the percentage of observations that are less than or greater than a particular observation.
height cumulative relative frequency

1. is the cell v1, type cumulative frequency?
2. is the cell u2, enter the formula =u2+q2
3. is the cell u3, enter the formula =u3+q3
4. fill down to the cell range u3:u11.

instructions
we can also compute the percentage of observations that are less than or greater than a particular observation.
height cumulative relative frequency

1. is the cell v1, type cumulative relative frequency?
2. is the cell v2, enter the formula =u2/sum($q$2:$q$11)
3. fill down to the cell range v2:v11.
4. highlight the cell range v2:v11, then select home > number > percent style

1. what percentage of individuals are at most 73 inches tall? (round to one decimal place.)

answer

how many individuals are at most 73 inches tall?
answer
71.6

Explanation:

Step1: Locate cumulative relative freq

From the table, the cumulative relative frequency for the upper limit of 72 inches is 100%? No, correct row: for upper limit 72, the cumulative relative frequency (column W) is 100%? Wait no, check the rows:
Wait the row with upper limit 72 has cumulative relative frequency 100%? No, looking at the table:
Row for upper limit 72: cumulative relative frequency is 100%? Wait no, the row with upper limit 76 is 100%. Wait, the row with upper limit 72 has cumulative relative frequency 100%? No, let's check the values:
The cumulative relative frequencies are: 0%, 0%, 1%, 3%, 11%, 40%, 70%, 90%, 100%, 100%.
Matching to upper limits: 44,48,52,56,60,64,68,72,76,80.
So for upper limit 72, cumulative relative frequency is 100%? No, the 8th row (upper limit 72) has cumulative relative frequency 100%? Wait no, the 9th row (76) is 100%, 8th row (72) is 100%? Wait no, the values in column W: 0%,0%,1%,3%,11%,40%,70%,90%,100%,100%.
Yes, the 8th entry (for upper limit 72) is 90%? No, wait the rows:

1. 44: 0%
2. 48: 0%
3. 52: 1%
4. 56: 3%
5. 60: 11%
6. 64: 40%
7. 68: 70%
8. 72: 90%
9. 76: 100%
10. 80: 100%

Wait, no, the numbers in column V: 0,0,6,25,84,342,1634,4588,778,781? No, cumulative frequency for 72 is 4588, total is 781+778+4588+1634+342+84+25+6+0+0 = 781+778=1559, +4588=6147, +1634=7781, +342=8123, +84=8207, +25=8232, +6=8238. Wait no, the total number of individuals is 781 (last cumulative frequency). Wait, the cumulative frequency for 72 is 778, total is 781. So cumulative relative frequency is $\frac{778}{781} \times 100$

Step2: Calculate percentage

$\text{Percentage} = \frac{778}{781} \times 100 \approx 99.6\%$
Wait no, looking at the table, the cumulative relative frequency for upper limit 72 is 100%? No, the table shows for upper limit 72, cumulative relative frequency is 100%? Wait the user's table has column W with 100% for 72 and 76. Wait the table:
Row with upper limit 72: column W is 100%? No, the 8th row (72) has 100%, 9th (76) 100%. Wait, the total number of individuals is 781 (last cumulative frequency). The cumulative frequency for 72 is 778, so $\frac{778}{781} \times 100 \approx 99.6\%$, which rounds to 99.6%.
Wait, but the table's column W for 72 is 100%? No, maybe the table's cumulative relative frequency for 72 is 99.6% rounded to whole number 100%? But the question asks to round to one decimal place.

Step3: Round to one decimal

$\frac{778}{781} \times 100 \approx 99.6\%$

Answer:

99.6