University:
Skagit Valley College
Course:
MATH 146 | Introduction to Stats
Academic year:

2023
Views:

306

Pages:

5
Author:

M. Hamilton

KEY Math 146 Name: ________________________________ Fall 2023 WS01 Content: Chapters 1 and 2 Due: Thursday, September 28, at the beginning of class • You may either turn this in at the end of class today or upload a pdf version of your worksheet to Canvas by the start of class, Thursday, September 28. • Each problem is worth 10 points. Your final score will be scaled out of 50 points: !"#$%& ("))*(% × 50 70 1) Indicate the type of M&M (Milk Chocolate or Peanut), count the number of each color (frequency) of M&M and complete the table. Determine the relative frequency of each color and express them as a percent (round to the nearest tenth of a percent). Type of M&M candy: ________________________ MILK CHOCOLATE Color Frequency Relative Frequency Blue 5 9.19 Brown E 121.5 12 21.89 Orange 11 20.09 Red 5 9.1 Yellow 14 25.5 Green Total: Ey 100 9.0909 98 55 1 9.11 2) Determine the appropriate data type (quantitative or qualitative) for each variable and briefly explain your answer. a) Colors of M&Ms Qualitative because colors are non-numerical, just descriptions/ characeristics of an M&M. b) Weights (in ounces) of M&Ms Quantitative because weights are numerical. 3) Determine the appropriate level of measurement (nominal, ordinal, interval, or ratio) for each variable and briefly explain your answer. a) Colors of M&Ms Nominal level of measurement would be the most appropriate because colors are qualitative and have no natural sort/order. b) Weights (in ounces) of M&Ms Ratio level of measurement would be the most appropriate because weights are quantitative and there is a natural zero (0 ounces) so meaningful ratios can be built. 4) Determine the if the variable is discrete or continuous and briefly explain your answer. a) Number of M&Ms Discrete since the number of M&Ms represent a count of how many M&Ms are in a bag. b) Weights (in ounces) of M&Ms Continuous since we are dealing with a physical measurement. There are an uncountable number of possible weights. 2 5) Construct a bar graph for the colors of M&M candies. Clearly label each axis. 14 13 12 f to 9 8 7 6 5 4 3 BLUE BROWN GREEN ORANGE RED COLORS OF MILK YELLOW CHOCOLATE ME Ms 3 6) Use the height measurements (inches) on the last page to create a grouped frequency distribution table starting with a lower class limit of 50 and a class width of 5 inches. HEIGHTS f inches 50 55 60 65 to 54 59 I 0 64 69 74 15 10 9 n 35 7) Using the GFDT of height measurements from problem 6, construct a histogram. Clearly label each axis. is 14 13 É d t y 4 Heights (inches) 54 60 61 61 61 62 63 63 63 63 64 64 64 64 64 64 65 65 66 66 67 68 68 68 69 69 70 71 71 71 71 72 72 72 73 5