### Data Analysis: Finding the Median, 1st, and 3rd Quartiles#### Table OverviewThe table displays ordered values against corresponding violent crime rates for 46 different data points.#### Steps to Calculate the Median, 1st, and 3rd Quartiles**1. Median:**The median is the middle value of a dataset. For an even number of observations, it's the average of the two middle numbers.- With 46 data points, the median will be the average of the 23rd and 24th values.**2. 1st Quartile (Q1):**Q1 is the median of the first half of the data. This consists of the first 23 data points (1 to 23).- Calculate the average of the 11th and 12th values.**3. 3rd Quartile (Q3):**Q3 is the median of the second half of the data. This consists of the last 23 data points (24 to 46).- Calculate the average of the 34th and 35th values.#### Values from the Table- **To find the Median:** Values: 116.8 (23rd) and 118.3 (24th) \[ \text{Median} = \frac{116.8 + 118.3}{2} = 117.55 \]- **To find the 1st Quartile (Q1):** Values: 96.3 (11th) and 96.9 (12th) \[ Q1 = \frac{96.3 + 96.9}{2} = 96.6 \]- **To find the 3rd Quartile (Q3):** Values: 132.6 (34th) and 132.8 (35th) \[ Q3 = \frac{132.6 + 132.8}{2} = 132.7 \]This process helps in understanding the distribution of the violent crime rates and identifying central tendencies and spread within the data set.

Given data set can be arranged into ascending order : 19.8, 20.6, 21.8, 22.4, 37.2, 53.3, 70.5,…

Answered: Ordered Violent Ordered Violent Ordered…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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17. Please answer this question ASAP. Please circle all answers, please be organized.
Small Midsize Large Left Femur 1183 288 328 709 603 246 333 401 315 302 298 812 281 409 216 1643 740 881 936 883 470 Left Femur Right Femur 1263 325 445 1043 1477 1047 454 843 710 132 237 689 909 548 751 1206 775 552 672 555 291 Right Femur Small Midsize Large The accompanying data table lists results from car crash tests. Included in results from car crash tests are loads (pounds) on the left femur and right femur, and those values are shown in the table below. What characteristic of the data suggests that the appropriate method of analysis is two-way analysis of variance? That is, what is "two-way" about the data entered in the table? A. The load values are categorized using two different factors of femur (left or right) and size of car (small, midsize, or large). B. The data is measured in pounds, part of the imperial system, which is inherently two-way. C. There are two possiblities for the…
During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7 or more items," not just 7 items. Frequency SHIFT 14- 12 10- 8- 6 CAPS 0.5 1.5 2.5 3.5 4.5 5.5 5.5 6.5 7.5 #items over 10 Q What is the frequency of times the limit was exceeded by at least 2 items? 38°F Clear 4 ans 2H TAB 61 Check Answer ESC ! F1 ! Q A Z BEBEEEE F2 X 2 W S F3 # * 3 Q Search X E F4 LA 4 F5 с % R 5 LLI F6 T V 6 HCO F7 1111 4+ 7 Y F8 G H * 00 с F9 J B N
C8. According to the Pew Research Center (2015), recent immigrants are better educated than earlier immigrants to the United States. The change was attributed to the availability of better education in each region or country of origin. The percentage of immigrants 25 years of age and older who completed at least high school is reported in this table for 1970 to 2013. Write a statement describing the change over time in the percentage who completed at least a high school degree. 1970 1980 1990 2000 2013 Mexico 14 17 26 30 48 Other Central/South America 57 53 60 66 Asia 75 72 75 82 84 48 68 81 87 95 Europe 36 48 52 58 72 Caribbean 81 91 88 85 85 Africa Source: Pew Research Center, Modern Immigration Wave Brings 59 Million to U.S., Driving Population Growth and Change Through 2065, 2015. Retrieved from https://www.pewresearch.org/hispanic/2015/09/28/modern- immigration-wave-brings-59-million-to-u-s-driving-population-growth-and-change-through-2065/ 52
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3 2 41.5-46.5 46.5- 31.5-36.5 36.5-41.5 Class bourndaries Class limits 17-21 22-26 27-31 32-36 37-41 42-46 47-51 Class boundaries 16.5-21.5 21.5-26.5 26.5-315 315-36.5 Class midpoints Frequency Cumulative frequency 19 1 24 4 29 1 34 6 36.5 - 41.5 415-46.5 46 5-51.5 39 10 4. 44 14 49 17 12 19 Part 1 of 4 (a) How many values are in the class 26.5 - 31.57 The number of values in the dass 26.5 - 31.5 is Part 2 of 4 (b) How many values fall between 215 and 41.57 The number of values that fall between 21.5 and 41.5 is . Part 3 of 4 (c) Haw many values are below 36.57 The number of values that are below 30.5 is Frequency 16.5-21.5 21.5-26.5 26.5-31.5 51.5
Frequency 344.7 389.1 394.3 411.8 412.1 431.9 433.5 445 447.4 452.3 465.4 466 469.2 469.2 469.2 469.8 470.6 471.7 471.8 474.9 483 483.1 485 490.4 494.8 495.8 496.8 496.8 500 506.8 512.5 516.6 520.1 520.4 524.8 534.8 545.3 547.4 558.1 556.4 558.1 558.1 580.6 564.4 572.4 577.4 585 586.2 587.8 588.2 593.8 606.1 607.8 611.4 = 18 16 14 12 10 8 6 4 2 300 350 400 450 500 Find the first quartile for this data set. Q₁ length (cm) = 550 600 650 Find the third quartile for this data set. Q3² = Find the interquartile range for this data set. IQR = = Find the lower fence separating outliers from usual values. Fence Low Find the upper fence separating outliers from usual values. Fence high
Problem 2: Supplement for Weightlifting Continued In comparison to the previous problem, let us say that the weightlifting supplement company informed you that how long a female weightlifter has been lifting impacts the amount of muscle mass they can gain. Suppose that you changed your data collection method from what you did in Problem 1. Now you randomly select one weightlifter from each group (supplement and placebo) that have been lifting for 39 to 40 months. Next, you randomly sample one weightlifter from each group that have been lifting for 37 to 38 months. Then, you continue this process until the 20th pair of weightlifters have lifted for 2 months or less. The data contains the whole body lean mass difference in pounds and training experience in months. Can you infer that the supplement group gained more muscle mass on average than the placebo group? Use a = 0.05 for any hypothesis test. List the conditions necessary to complete this probiem. g) Calculate the test statistic…
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The accompanying data file shows the annual returns (in %) for a mutual fund focusing on investments in Latin America and a mutual fund focusing on investments in Canada over the past 25 years. Click here for the Excel Data File a. Which fund had the higher reward over this time period? since it has the b. Which fund was riskier over this time period? since it has the c-1. Given a risk-free rate of 2%, calculate the Sharpe ratio for each fund. What does this ratio imply? Note: Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places. Sharpe ratio for Latin America Sharpe ratio for Canada c-2. Over this time period, the Sharpe ratio implies that the: O Latin America fund had a higher reward per unit of risk. O Canada fund had a higher reward per unit of risk. O Latin America fund had the higher relative dispersion. ○ Canada fund had the lower relative dispersion.

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