24, 44, 35, 41.5, 34, 21, 19.5, 25.5, 35.5, 46.5, 89, 34.5, 24, 45.5, 33.5, 17,

Question

24,
44,
35,
41.5,
34,
21,
19.5,
25.5,
35.5,
46.5,
89,
34.5,
24,
45.5,
33.5,
17,
39,
28.5,
18,
36.5,
23.5,
37.5,
27.5,
43.5,
34,
22,
88

A survey asked a random sample of 27 people how many hours they had worked in the last week. The following set of sample data was produced: 24 44 35 41.5 34 21 19.5 25.5 35.5 46.5 89 34.5 24 45.5 33.5 173928.5 18 36.5 23.5 37.527.543.5 342288 Download the data 18 | 36.5 23.5 37.5 27.5 43.5 34 22 88 a) Identify the two suspected outliers in this sample. suspected outlier: Suspected outlier: b) Calculate the sample mean found by including the two suspected outliers. Give your answer to 1 decimal place. Sample mean c) Calculate the sample mean found by excluding the two suspected outliers. Give your answer to 1 decimal place. Sample mean

Explanation / Answer

Statistical file:
{24, 44, 35, 41.5, 34, 21, 19.5, 25.5, 35.5, 46.5, 89, 34.5, 24, 45.5, 33.5, 17, 39, 28.5, 18, 36.5, 23.5, 37.5, 27.5, 43.5, 34, 22, 88}

Minimum: 17
Quartile Q1: 23.75
Median: 34
Quartile Q3: 41.5
Maximum: 89

a. Set of outliers: {88, 89}

b. mean value including set of outliers = Average (mean): =35.851

c.

Statistical file:
{24, 44, 35, 41.5, 34, 21, 19.5, 25.5, 35.5, 46.5, 34.5, 24, 45.5, 33.5, 17, 39, 28.5, 18, 36.5, 23.5, 37.5, 27.5, 43.5, 34, 22}

mean value without outliers = Average (mean): =31.64

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