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madreJ [45]
3 years ago
8

The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir

st 10 families that agreed to participate. Each family was asked, “How many times have you been to Disneyland?” The data values were: 1, 1, 2, 2, 2, 2, 3, 3, 4, 7. The average number of visits was calculated and reported.
Calculate the standard deviation of the data values.
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

<u>The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)</u>

Step-by-step explanation:

1. The first step to calculate the standard deviation is to find out the mean, this way:

Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10

Mean = 27/10 = 2.7

2. Now we calculate the variance, this way:

Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10

Variance = [2.89  + 2.89 + 0.49 + 0.49 + 0.49  + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10

Variance = 28.1/10 = 2.81

3. Finally we calculate the standard deviation, this way:

Variance = Standard deviation²

√Variance = Standard deviation

√2.81 =  Standard deviation

<u>Standard deviation = 1.68 (Rounding to two decimal places)</u>

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3 years ago
Find the margin of error for a 90% confidence interval when the standard deviation is LaTeX: \sigma= 50????=50 and LaTeX: n = 25
Murrr4er [49]

Answer:

The margin of error  for a 90% confidence interval is 16.4

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 25

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z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

Margin of error =

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➪-263

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5 0
2 years ago
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yuradex [85]

Answer:

Option (4)

Step-by-step explanation:

Given : XZ ≅ DF and ∠X ≅ ∠D

To prove : ΔXYZ ≅ ΔDEF

Statements                               Reasons

1). XZ ≅ DF                                 1). Given

2). ∠X ≅ ∠ D                              2). Given

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3 years ago
H(x) = x^2 + 1 k(x) = x-2 what is (h-k)(3)
sasho [114]

Answer:9

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3 years ago
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