Math

QuestionEstimate the number of students who attended class based on these estimates: 203, 216, 181, 225, 210, 193, 209, 197, 205, 217, 219, 194. Round to the nearest whole number.

Studdy Solution

STEP 1

Assumptions1. The estimates provided by the students are accurate and unbiased. The best estimate of the total number of students is the average of the estimates provided by the12 students

STEP 2

First, we need to calculate the sum of all the estimates. This can be done by adding all the estimates together.
Sumofestimates=203+216+181+225+210+193+209+197+205+217+219+194Sum\, of\, estimates =203 +216 +181 +225 +210 +193 +209 +197 +205 +217 +219 +194

STEP 3

Calculate the sum of all the estimates.
Sumofestimates=203+216+181+225+210+193+209+197+205+217+219+194=2510Sum\, of\, estimates =203 +216 +181 +225 +210 +193 +209 +197 +205 +217 +219 +194 =2510

STEP 4

Now that we have the sum of all the estimates, we can calculate the average estimate by dividing the sum by the number of estimates (12 in this case).
Averageestimate=Sumofestimates/NumberofestimatesAverage\, estimate = Sum\, of\, estimates / Number\, of\, estimates

STEP 5

Plug in the values for the sum of estimates and the number of estimates to calculate the average estimate.
Averageestimate=2510/12Average\, estimate =2510 /12

STEP 6

Calculate the average estimate.
Averageestimate=2510/12=209.17Average\, estimate =2510 /12 =209.17

STEP 7

The professor asked for the estimate to be rounded to the nearest whole number. So, we round209.17 to the nearest whole number.
Roundedestimate=round(209.17)Rounded\, estimate = round(209.17)

STEP 8

Calculate the rounded estimate.
Roundedestimate=round(209.17)=209Rounded\, estimate = round(209.17) =209The estimate of the number of students who attended class that day is209.

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