### Exercise: Frequency Distribution and Visualization**Short Answer:**1. Construct the following for the given data set: the scores for 81 students: 1. The frequency distribution 2. The frequency histogram 3. The frequency polygon 4. The relative frequency histogramThe dataset is: ```114, 114, 108, 133, 115, 127, 109, 133, 121, 106, 134, 131,91, 121, 94, 96, 95, 103, 113, 99, 74, 81, 107, 58,81, 90, 85, 70, 67, 66, 93, 81, 92, 98, 58, 88,44, 80, 93, 76, 43, 60, 70, 54, 58, 43, 35, 40,49, 73, 57, 79, 65, 65, 60, 47, 32, 56, 60, 86,59, 51, 44, 41, 50, 41, 42, 44, 22, 28, 33, 35,21, 25```To complete this exercise, use the following steps:### 1. Frequency DistributionCreate a table listing each unique score and the number of times it appears in the dataset.### 2. Frequency HistogramConstruct a histogram using the frequency distribution table. Plot the scores (x-axis) against the frequency of each score (y-axis).### 3. Frequency PolygonCreate a frequency polygon by plotting the frequencies of the scores at the midpoints of each class interval. Connect these points with straight lines.### 4. Relative Frequency HistogramConstruct a histogram like the frequency histogram, but use the relative frequencies (proportion of the total number of scores) instead of the absolute frequencies.Visual representations like histograms and polygons help understand the distribution and spread of the data, providing insights into trends and patterns among students' scores.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Construct a frequency distribution of the data collected. Use classes with the first class ranging from 51-60 55 70 80 85 90 100 55 75 80 85 90 100 60 75 85 85 90 100 60 80 85 90 95 100 65 80 85 90 95 100
I) determine the number of classes ii) estimate the greatest and least frequencies. iii) determine the class width describe any patterns with the data.
Scores: 43 68 20 33 3947 60 40 47 8180 67 48 78 4855 69 55 55 5770 80 63 71 6362 69 70 39 5740 62 25 62 5257 54 46 81 4679 46 52 63 2861 37 59 48 55 Requirements to do: • Frequency distribution• Graphical Presentation (Pie, Line, Bar and Ogives)• Mean, Median, Mode for Grouped Data
Suppose a survey of adults and teens (ages 12-17) in a certain country was conducted to determine the number of texts sent in a single day. (a) Construct a relative frequency distribution for adults. (b) Construct a relative frequency distribution for teens. (c) Construct a side-by-side relative frequency bar graph. (d) Compare the texting habits of adults and teens. Number of Texts Adults Teens None 164 8. 1-10 977 137 11-20 253 62 21-50 258 118 51-100 125 107 100 + 156 181 ... (c) Choose the correct graph below. Adults Teens 0.6 Adults Teens 0.67 0.4- O A. 0.2- 0.4 B. 0.2- None 1-10 11-20 21-50 51-100 100+ None 1-10 11-20 21-50 51-100 100+ Adults Teens 0.6J Adults| Teens 0.6J 0.4- 0.2- 0.4- O D. 0.2- 0- None 1-10 11-20 21-50 51-100 100+ None 1-10 11-20 21-50 51-100 100+ (d) Choose the correct answer below. A. Teens are more likely to send few or many texts per day, while adults are more likely to send a moderate number of texts per day. B. Adults are more likely to send few or many…
Q#1. For the following data set construct a frequency distribution and calculate i) ii) Median Mode 138, 104, 150, 132, 144, 125, 149, 157, 146, 158, 140, 147, 136, 148, 152, 144, 168, 126, 138, 176, 163, 119, 154, 165, 146, 173, 142, 147, 135, 153, 140, 135, 161, 145, 135, 142, 150, 156, 145, 128, 130, 131, 145, 152, 161
The two-way relative frequency table given shows the results from the lunch orders from an upperclassman picnic. Salad 12% Sandwich 20% Soup 8% Total 40% A segmented bar chart was created showing the lunch preference by grade. What percentage would the bar for 11th graders show for preferring salad? O 67% O 40% 11th Grade 12th Grade Total 6% 18% 24% 44% 30% 38% 60% 100% O 30 O 12%
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A data set is summarized in the frequency table below. The data set contains a total of 30 data values. What is the missing frequency? Value Frequency 1 5 2 3 3 4 4 6 5 □ 6 2 7 3 8 4

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