Question

As the new manager of a small convenience store, you want to understand the shopping patterns...

As the new manager of a small convenience store, you want to understand the shopping patterns of your customers. You randomly select a sample of 16 purchases from a previous days records (all purchases in Rands). The results are given below.

35 22 18 54 22 46 28 31 43 22 14 17 25 19 33 14

Draw an OGIVEcurvecorrespondingtothedataanduseittoestimatethemedian(50THpercentile).

please explain in detail

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given data can be tabulated and Cumulative Relative Frequencies can be calculated as:

x Freq Rel.Freq Cum.Rel.Freq
1 14 2 0.125 0.125
2 17 1 0.0625 0.1875
3 18 1 0.0625 0.25
4 19 1 0.0625 0.3125
5 22 3 0.1875 0.5
6 25 1 0.0625 0.5625
7 28 1 0.0625 0.625
8 31 1 0.0625 0.6875
9 33 1 0.0625 0.75
10 35 1 0.0625 0.8125
11 43 1 0.0625 0.875
12 46 1 0.0625 0.9375
13 54 1 0.0625 1

For this data the OGIVE Curve can be drawn as:

It shows the 50th percentile at 22 as median.

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