Question

1. consider a sample data for the values 51, 54, 70, 59, 64, 57, 51, 69, 57, 67, and 51.

find the mean, median, and mode

2. in a recent poll, 762 readers responded to the following question, if a constitutional amendment is to ban a state income tax is placed on the ballot would you want it to pass? possible responses were yes, no, and not sure. What is the sample size for this poll? Is the data categorical or quantitative?

Answer #1

Question 1.

Rearranging order data values :

Sorted Data Set: 51, 51, 51, 54, 57, 57, 59, 64, 67, 69, 70

Calculate Mean

Mean = Sum of all observation/ No. Of observation

Mean = (51+51+51+54+57+57+59+64+67+69+70) /11

Mean = 650 / 11

= 59.0909

Hence we get Mean = 59.0909

Median = middle most value is median = 6th observation = 57

Mode = Most repeated value in a data set

Hence we get Mode = 51 ( repeated 3 times)

Answer :

Mean = 59.0909

Median = 57

Mode = 51

Question 2.

What is the sample size ?

Answer : 762

The data is categorical or quantitative?

Answer : Categorical , because possible responses are "yes, no and not sure" which is shows categories....

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Mean
=
Median
=
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=

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A random sample of data was
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47 95 54 79 64 40 80 57 90 80
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29 35 28
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195
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