Question

Snickers® are fun! Here are the weights (in grams) of 17 Snickers Fun Size bars from a single bag:

17.1	17.4	16,6	17.4	17.7	17.1	17.3	17.7	17.8
19.2	16.0	15.9	16.5	16.8	16.5	17.1	16.7

Part (a). Make a stemplot of these data.

Part (b). What interesting feature does the graph reveal?

Part (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?

Short answer

Part (a)

Stem	Leaf
15	9
16	0 5 5 6 7 8
17	1 1 1 3 4 4 7 7 8
18
19	2

Part (b) 19.2 gram

Part (c) 0.4118

Step-by-step solution

Part (a) Step 1. Given information. 

17.1, 17.4, 16.6, 17.4, 17.7, 17.1, 17.3, 17.7..17.8, 19.2. 16.0. 15.9. 16.5. 16.8. 16.5, 17.1, 16.7

Part (a) Step 2. Create a stemplot from these data.

Let us now order the data values from smallest to largest.

15.9, 16, 16.5, 16.5, 16.6, 16.7, 16.8, 17.1, 17.1, 17.1, 17.3, 17.4, 17.4, 17.7, 17.7, 17.8, 19.2

Stemplot:

Make a vertical line.

Place the ones to the left of the vertical line and the tenths of each data value to the right of the vertical line

Stem	Leaf
15	9
16	0 5 5 6 7 8
17	1 1 1 3 4 4 7 7 8
18
19	2

Part (b) Step 1. Interesting feature does the graph reveal 

We notice a gap between 19.2 and the rest of the data values in the stemplot, implying that 19.2 is a possible outlier.

As a results 19.2 gram is a potential outlier

Part (c) Step 1. This sample's proportion of candy bars weighs less than advertised.

We notice that seven of the data values are less than seventeen ( more precisely 15.9, 16.0, 16.5, 16.6, 16.7, and 16.8)

$\frac{7}{17}\approx 0.4118$

The sample contains 0.4118 candy bars that weigh less than the advertised weight of 117 grams.