The following data set gives the difference between the winning and?
losing scores in 50 randomly observed high school basketball games: 2, 12, 1, 2, 12, 5, 14, 2, 45, 9, 1, 8, 18, 28, 9, 4, 30, 16, 4, 12, 8, 13, 20, 9, 17, 13, 49, 17, 13, 4, 14, 2, 12, 29, 8, 9, 11, 4, 6, 22, 4, 20, 23, 9, 14, 11, 8, 8, 2, 8.
A) Make a frequency table detailing the occurrence of each score difference.
B) Find the relative frequency of each score difference observed.
C) Make a stem-and-leaf plot of the data from this experiment.
D) Develop appropriate intervals and make a histogram for this data
I've made the frequency table if someone can just check it and then I don't know where to go from there?
a) Frequency table:
( value, frequency)
(1,2)
(2,5)
(4,5)
(5,1)
(6,1)
(8,6)
(9,5)
(11,2)
(12,4)
(13,3)
(14,3)
(16,1)
(17,2)
(18,1)
(20,2)
(22,1)
(23,1)
(28,1)
(29,1)
(30,1)
(45,1)
(49,1)
I also have C. Just need help with B and D.
Great job on creating the frequency table! Now, let's move on to the next steps.
b) To find the relative frequency of each score difference observed, you can divide the frequency of each value by the total number of observations (which is 50 in this case). This will give you the proportion or percentage of times each score difference occurred. For example, to find the relative frequency of 1, you would divide the frequency (2) by 50, resulting in a relative frequency of 0.04 or 4%.
c) A stem-and-leaf plot is a visual representation of data that helps organize and display the values. It shows the distribution of the data and allows you to see patterns, ranges, and outliers. To create a stem-and-leaf plot, you'll split each score difference into a stem (the tens digit) and a leaf (the ones digit). For example, for the score difference 12, the stem would be 1 and the leaf would be 2. Repeat this process for each score difference and list them in ascending order.
d) To create a histogram, you'll need to group the score differences into intervals or bins. You can choose intervals based on the range of the data and the desired level of detail. For example, you could create intervals of 5, such as 0-4, 5-9, 10-14, and so on. Then, count the number of observations within each interval and create bars representing the frequency of each interval. The height of each bar represents the frequency, and the width represents the interval range.
I hope this helps! If you have any more questions or need further clarification, feel free to ask.