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Gallaudet University *

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102

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Mathematics

Date

Apr 3, 2024

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dotx

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4

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In-class activity #1 Math 102 - Intro Probability and Statistics Part 1: For each variable, please list the type of variable (categorical, quantitative), and decide whether they are ordinal variables or not. a. Type of drink: Yes b. Size of order of French fries: yes c. Weight of order of French fries: yes d. Health Inspection Grade: no Part 2: As the manager of a candy store, you've gathered data on daily candy sales for the past week. Use the data provided to calculate various statistical measures and create tables to better understand the distribution. Day Candy Sales 1 25 2 30 3 22 4 35 5 28 6 23 7 30 1. Calculate the mean, median, range, Q1, Q3, and standard deviation of the daily candy sales. 22, 23, 25, 28, 30, 30, 35 Mean: 27.57 Median: 28 Mode: 30 Range: 35-22=13 Q1: 30 Q3: 23 SD: 20.947 2. Below is a (relative) frequency table to show the distribution of candy sales, please fill in the missing values. (Round to two decimal places) Candy Sales Frequency Relative Frequency 20-25 3 0.43 26-30 3 0.43 31-35 1 0.14
Part 3: Restaurant Food Deco r Service Cost Cuisine Location Ai Fiori 27 24 25 93 Italian Metro Area Amma 24 18 22 48 Indian City Center Blue Hill 27 23 27 83 American (New) Metro Area Bouley 28 27 27 104 French City Center Café Boulud 27 24 26 81 French City Center Chin Chin 23 19 23 54 Chinese City Center Craft 26 24 25 82 American (New) Metro Area Daniel 29 28 28 137 French Metro Area Dawat 23 19 21 50 Indian Metro Area Del Posto 27 27 27 102 Italian Metro Area Dovetail 26 23 25 74 American (New) City Center Eleven Madison Park 28 28 28 117 French City Center Four Seasons Restaurant 27 28 27 101 American (New) City Center Gotham Bar & Grill 28 25 27 81 American (New) Metro Area Gramercy Tavern 27 26 27 114 American (New) Metro Area Il Buco Alimentari e Vineria 26 24 23 64 Italian Metro Area Il Tinello 26 21 26 76 Italian City Center Jack's Luxury Oyster Bar 26 16 23 71 French Metro Area Jean Georges 28 27 28 127 French Metro Area Junoon 23 26 23 71 Indian Metro Area Kuruma Zushi 28 17 25 127 Japanese Metro Area La Grenouille 28 28 28 119 French City Center Le Bernardin 29 27 28 146 French Metro Area Mr. Chow Tribeca 22 21 21 76 Chinese Metro Area Mr. K's 24 24 23 60 Chinese City Center Nobu 26 23 23 83 Japanese City Center Perry St. 26 25 24 69 American (New) Metro Area
Piccola Venezia 26 17 24 58 Italian Metro Area San Pietro 26 21 23 87 Italian City Center Saul 27 20 25 69 American (New) Metro Area Sistina 26 19 23 80 Italian City Center Sushi of Gari 46 27 15 21 82 Japanese City Center Sushi Yasuda 28 22 24 86 Japanese City Center Sushiden 25 18 22 58 Japanese City Center Tamarind 25 24 23 58 Indian City Center Tulsi 21 22 20 55 Indian City Center Union Square Cafe 27 23 26 70 American (New) City Center Yuva 23 19 21 41 Indian City Center Zenkichi 26 27 25 61 Japanese Metro Area From the table below, each restaurant is given a score for food (from 10-30), décor (from 10-30), service (from 10-30), and cost (30 or above). The table also lists type of cuisine and location of restaurant. Types of variables a. For each variable, please list the type of variable (categorical, quantitative). Table reading (note: you should be able to sort the table to find your answers!) b. Which restaurant is the most expensive? Daniel c. Looking at the French restaurants, which French restaurant has the lowest-rated service? (also list their service score ) Jack's Luxury d. How many Japanese restaurants are there? 6 o How many are in the city center? 4 o How many are in the metro area? 2 e. Calculate the mean, median, and standard deviation of food, décor, service, and cost. Mean: Median: SD: f. From problem e, which variable exhibits a distribution close to symmetry? BONUS: You are a web developer for Google Maps! You want to show the cost rating of the restaurants on your map, but instead of using the rating number. you want to group them into four categories: $, $$, $$$, or $$$$. The categories are assigned as follows: $ - Below 70 $$ - 70-94 $$$ - 95-110 $$$$ - above 110
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g. Create a new variable, ‘Cost Rating, and use a formula in Excel to recode the cost score into the $-$$$$. Write the formula you used. h. How many restaurants are in each level of cost rating ($, $$, $$$, $$$$)? i. Is cost rating an ordinal variable or not? j. One type of cuisine tends to be particularly expensive; of the restaurants with the $$$$ rating, most are the same type of cuisine. Which cuisine is that?