Mean, mode, median in Santa Fe SPSS data set


Answer to Question 1

The mean, mode, median, range, and standard deviation computed to be for the Santa Fe SPSS data set is presented as follows:

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Table 1: Statistics Analysis (mean, mode, median, range, and standard deviation)

  N Mean Median Mode Std. Deviation Range
Valid Missing
Regularly Dine at Casual Dining Restaurants 405 0 1.00 1.00 1 0.000 0
Have Dined at Other Mexican Restaurants In last 6 Months 405 0 1.00 1.00 1 0.000 0
Gross Annual Income $15,000 or More 405 0 1.00 1.00 1 0.000 0
Favorite Mexican Restaurant 405 0 0.62 1.00 1 0.485 1
X1 — Try New and Different Things 405 0 5.39 7.00 7 1.863 5
X2 — Party Person 405 0 4.27 4.00 4 1.005 5
X3 — People Come to Me 405 0 5.28 5.00 5 1.223 5
X4 — Avoid Fried Foods 405 0 4.11 4.00 3 1.308 4
X5 — Likes to Go Out Socially 405 0 4.41 4.00 4 1.115 5
X6 — Friends Come to Me 405 0 5.31 5.00 5 1.163 4
X7 — Self-Confident 405 0 4.65 5.00 5 1.218 5
X8 — Eat Balanced, Nutritious Meals 405 0 4.57 5.00 5 1.228 5
X9 — Buy New Products 405 0 5.60 6.00 7 1.606 6
X10 — Careful about What I Eat 405 0 4.43 4.00 4 1.105 5
X11 — Try New Brands 405 0 5.42 7.00 7 1.766 4
X12 — Friendly Employees 405 0 3.64 4.00 5 1.210 4
X13 — Fun Place to Eat 405 0 4.64 5.00 5 .909 5
X14 — Large Size Portions 405 0 4.51 5.00 6 1.323 4
X15 — Fresh Food 405 0 5.76 6.00 7 1.195 3
X16 — Reasonable Prices 405 0 4.34 4.00 4 1.237 4
X17 — Attractive Interior 405 0 4.70 5.00 5 1.019 5
X18 — Excellent Food Taste 405 0 5.31 5.00 5 1.084 4
X19 — Knowledgeable Employees 405 0 3.55 4.00 4 1.517 6
X20 — Proper Food Temperature 405 0 4.52 5.00 5 1.168 5
X21 — Speed of Service 405 0 5.21 7.00 7 2.039 6
X22 — Satisfaction 405 0 4.83 5.00 4 1.118 4
X23 — Likely to Return 405 0 4.46 4.00 4 1.104 5
X24 — Likely to Recommend 405 0 3.79 4.00 4 1.199 5
X25 — Frequency of Eating at  . . .  ?? 405 0 3.24 3.00 3 1.325 4
X26 — Price 405 0 2.35 2.00 1 1.147 3
X27 — Food Quality 405 0 1.60 1.00 1 .740 3
X28 — Atmosphere 405 0 3.33 3.00 3 .726 3
X29 — Service 405 0 2.74 3.00 2 1.030 3
x30 — Distance Driven 405 0 2.11 2.00 3 .819 2
X31 — Ad Recall 405 0 .33 0.00 0 .472 1
X32 — Gender 405 0 .35 0.00 0 .477 1
X33 — Number of Children at Home 405 0 .80 1.00 0 .835 2
X34 — Age 405 0 3.04 3.00 3 .954 4
X35 — Income 405 0 71683.95 60000.00 20000 87779.223 1235000
X36 — Innovator 405 0 5.4691 6.0000 7.00 1.59066 5.00
X37 — Health Conscious 405 0 4.3695 4.3333 4.00a 1.09996 4.67
X38 — Opinion Leader 405 0 5.0815 5.0000 5.00 .99846 4.33
X39 — Outgoing 405 0 4.3420 4.0000 4.00 .97796 5.00
X40 — Service 405 0 4.1342 4.3333 5.33 1.38428 5.33
X41 — Food 405 0 5.1992 5.3333 5.67 .99468 4.00
X42 — Value 405 0 4.4235 4.5000 4.00 1.26709 4.00
X43 — Atmosphere 405 0 4.6667 5.0000 5.00 .88161 5.00


The mean, mode, median, and standard deviation of each variable are presented in table 1 as shown above. All respondents are found to dine at casual dining restaurants given the mean of 1, median of 1, standard deviation of 0 and a range of 0. The manager of Santa Fe Grill should consider this as an opportunity to attract more customers.  The mean, median, mode, standard deviation, and range values are 1, 1, 1, 0, and 0, which imply that all respondents have dined at other Mexican restaurants in the last 6 months, which shows that people would always want to try other alternatives. The same values are depicted in the case of having a gross income of $15,000 0r more. There were some differences regarding favorite Mexican restaurants with a mean value of 0.62 and a standard deviation of 0.485 implying that Santa Fe Grill restaurant was more preferred than Jose’s South Western Café. In this case, the Santa Fe Grill restaurant is advantaged. The mean value for trying a different thing was 5.39. A mode of 7 shows that most of the respondents strongly agreed that they would like to try a different thing. Responses showed a standard deviation of 1.863 and a range of 5, which means that their responses ranged significantly. Typically, the same trend is depicted in all the 42 variables tested in the study. The manager of Santa Fe Grill restaurant should understand the competiveness of his restaurant and employ the right mechanisms to deal with the available challenges.

Answer to Question 2

Based on a comparison of the means of at least three groups, households with more children are more likely to recommend their favorite Mexican restaurant than are households with fewer children. The mean value for the likelihood to recommend is 3.79, in which families with at least one child are likely to recommend their favorite Mexican restaurant as compared to families with no children at all. Table 2 shows the respective mean values depicting this aspect. This fact can further be depicted through regression analysis between the likelihood to recommend as the dependent variable and the number of children the independent variable.

Table 2: Statistics on the Likelihood to recommend

  X24 — Likely to Recommend X33 — Number of Children at Home
N Valid 405 405
Missing 0 0
Mean 3.79 .80
Median 4.00 1.00
Mode 4 0
Std. Deviation 1.199 .835
Variance 1.436 .697
Range 5 2


Table 3: Model Summary and Parameter Estimates for the Regression Analysis

Dependent Variable: X24 — Likely to Recommend
Equation Model Summary Parameter Estimates
R Square F df1 df2 Sig. Constant b1
Linear .239 126.280 1 403 .000 3.226 .701
The independent variable is X33 — Number of Children at Home.

Figure 1: Graph of the Likelihood to Recommend


From the figure below, as the number of children increases, the likelihood to recommend increases as well.




Answer to Question 3

The Pearson Correlation reveal that there is a low correlation between the level of satisfaction and the likelihood to recommend. The analysis was done as follows:

Table 4: Descriptive Statistics

  Mean Std. Deviation N
X24 — Likely to Recommend 3.79 1.199 405
X22 — Satisfaction 4.83 1.118 405


Table 5: Correlations

  X24 — Likely to Recommend X22 — Satisfaction
X24 — Likely to Recommend Pearson Correlation 1 .802**
Sig. (1-tailed)   .000
Sum of Squares and Cross-products 580.311 434.178
Covariance 1.436 1.075
N 405 405
X22 — Satisfaction Pearson Correlation .802** 1
Sig. (1-tailed) .000  
Sum of Squares and Cross-products 434.178 505.244
Covariance 1.075 1.251
N 405 405
**. Correlation is significant at the 0.01 level (1-tailed).

The computed Pearson Correlation was 1.0., significant at the level 0.01 level.


Answer to Question 4

For Santa Fe Grill, a multiple regression is done to reveal the ability of fresh food and friendly service to predict customer satisfaction.

Table 6: ANOVAa

Model Sum of Squares df Mean Square F Sig.
1 Regression 186.633 2 93.316 117.740 .000b
Residual 318.612 402 .793    
Total 505.244 404      
a. Dependent Variable: X22 — Satisfaction
b. Predictors: (Constant), X12 — Friendly Employees, X15 — Fresh Food


Table 7: Coefficientsa

Model Unstandardized Coefficients Standardized Coefficients t Sig.
B Std. Error Beta
1 (Constant) 1.453 .226   6.420 .000
X15 — Fresh Food .436 .040 .466 10.978 .000
X12 — Friendly Employees .237 .039 .257 6.050 .000
a. Dependent Variable: X22 — Satisfaction

From the coefficients, the model showing how fresh foods and friendly services predict customer satisfaction is done as follows:

Satisfaction                 = Constant + Friendly Employees + Fresh Food

= 1.453 + 0.436 Fresh Foods + 0.237 Friendly employees

The model depicts that holding other factors constant (Beta = 1.453), the satisfaction of customers is increased by fresh foods and friendly employees in the order, 0.36 and 0.237, as the respective coefficients.

Works Cited

Professor Myles Bassell. BUSN 7278 Data Analysis: Sante Fe Grill. n.d. Print.



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