2051 kids were surveyed on how they earn money. 47% said parents gave them money, 32% said allowance, 45% said odd jobs, 26% said part-time jobs, and 11% said full-time jobs. Estimate the number of teens who made each of the response and then find the actual number of each and compare.
Estimating?
11 percent is ten percent with ten percent of that added..
205+21=226
26 precent is about 1/4, th
510
32 percent is nearly one third..
700
47 percent is half minus half of ten percent of that.
1025-50=975
Now work out the actual numbers, and compare.
parents = p
allowance = a
odd jobs = j
part time = h
full time jobs = f
all little less than half are p so about 1000, accurately .47*2051 = 964
about 30% are a so about 600
accurately .32*2051 = 656
j little less than for p so maybe 900
accurately .45 * 2051 = 923
h a little more than 1/4 so around 520
accurately .26*2051 = 533
f a bit more than 1/10 so around 210
accurately .11*2051 = 226
To estimate the number of teens who made each response, we can use proportions. First, we need to determine the total number of teens in the survey. We can do this by summing up the percentages.
Total percentage = 47% + 32% + 45% + 26% + 11% = 161%
Since the total percentage is greater than 100%, it means that multiple responses were allowed. We can adjust the percentages by dividing each by the total percentage to find the proportion.
Proportion of parents: 47% / 161% = 0.2919 (rounded to 4 decimal places)
Proportion of allowance: 32% / 161% = 0.1988
Proportion of odd jobs: 45% / 161% = 0.2795
Proportion of part-time jobs: 26% / 161% = 0.1615
Proportion of full-time jobs: 11% / 161% = 0.0683
Next, we can multiply each proportion by the total number of kids surveyed (2051) to estimate the number of teens who made each response.
Estimated number of teens whose parents gave them money: 0.2919 * 2051 ≈ 598
Estimated number of teens who received an allowance: 0.1988 * 2051 ≈ 408
Estimated number of teens who did odd jobs: 0.2795 * 2051 ≈ 573
Estimated number of teens who had part-time jobs: 0.1615 * 2051 ≈ 331
Estimated number of teens who had full-time jobs: 0.0683 * 2051 ≈ 140
To find the actual number of teens who made each response, we can multiply each proportion by the total number of kids surveyed.
Actual number of teens whose parents gave them money: 0.47 * 2051 = 963
Actual number of teens who received an allowance: 0.32 * 2051 = 656
Actual number of teens who did odd jobs: 0.45 * 2051 = 923
Actual number of teens who had part-time jobs: 0.26 * 2051 = 533
Actual number of teens who had full-time jobs: 0.11 * 2051 = 226
Now, let's compare the estimated numbers to the actual numbers:
Number of teens who parents gave them money:
Estimated: 598, Actual: 963
Number of teens who received an allowance:
Estimated: 408, Actual: 656
Number of teens who did odd jobs:
Estimated: 573, Actual: 923
Number of teens who had part-time jobs:
Estimated: 331, Actual: 533
Number of teens who had full-time jobs:
Estimated: 140, Actual: 226
By comparing the estimated numbers to the actual numbers, we can see the degree of accuracy in our estimations.