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Question
1c5. displaying quantitative data with graphs(stem plots) practice
name zoi yah (2) 1° date 9/15
- here are the weights in grams of 17 snickers fun size bars from a single bag:
17.1 17.4 18.0 17.7 17.1 17.3 17.7 17.8
17.1 17.4 18.6 18.5 18.8 18.5 16.7
19.2 16.0 15.9
a. make a stemplot showing the data.
15|9
16|05678
17|11344778
18|
19|2
b. describe the distribution.
c. the advertised weight of a snickers fun size bar is 17 grams. what proportion of candy bars in this sample weigh less than advertised?
Step1: Count total number of data - points
There are 17 data - points (weights of Snickers Fun Size Bars).
Step2: Count number of bars weighing less than 17 grams
From the stemplot, the values less than 17 grams are: 15.9, 16.0, 16.5, 16.6, 16.7, 16.8. There are 6 values.
Step3: Calculate the proportion
The proportion $p$ is given by the formula $p=\frac{\text{Number of bars less than 17 grams}}{\text{Total number of bars}}$. So, $p = \frac{6}{17}\approx0.353$.
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The proportion of candy bars in the sample that weigh less than the advertised weight is $\frac{6}{17}\approx0.353$.