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Chapter 8 and Chapter 9 Section 1 and 2 TestName: _____________________________Date: _________________________Type your name and date at the top of this document. Copy the Step-by-step Template for Assignments at the bottom of the document. Show all your work in the Your Solution column. Place your Final Answer in the final answer column. Remember to use the equation editor to create any special mathematical symbols. Use Microsoft Excel to create charts and graphs.On a math test, the scores of 25 students were as follows: 92727962797992867968877272877972877972867287866294Construct a frequency table. Group the data into four equal intervals starting with the interval 60-69. Twenty-four workers were asked how long it takes them to travel to work each day. The times (in minutes) are given below.203542526520604924372324222041252827504758303248 Use the given data to construct a stem-and-leaf plot. A medical researcher recorded the ages of patients who had strokes caused by stress. The ages of 34 patients are summarized in the frequency table below.AgeFrequency25 - 29330 - 34335 - 39640 - 44445 - 49550 - 54455 - 59560 - 645Construct a histogram for the data.A questionnaire was sent to customers asking about their music preferences. The customers were asked to pick the type of music they preferred from the categories rock, classical, gospel, country & western, and jazz. The results are shown in the table. Type of MusicFrequencyRock600Classical300Gospel150Country & Western300Jazz150Construct a circle graph for the given data.Use the graph to determine how many hours were needed to prepare for Test 2.The test scores of 20 students are shown below:6576827767926385978979715091857785791889Find the mean. Round your answer to the nearest tenth.Find the median for the given sample data.185891518818Find the mode of these test results:24.7256.31824.75224.724.7Find the range of the data set.151714263516Find the variance for the given data. Round your answer to one more decimal place than the original data.131171114Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.25471113483936The following scores on the midterm exam in Chemistry 102 were recorded:938159698273617795848871869763728980609891627883768194668396Find the interquartile range (IQR).A box contains 10 red cards numbered 1 through 10. List the sample space of picking one card from the box. Consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of a red 7 is drawn.The table shows the number of college students who prefer a given pizza pingsFreshmanSophomoreJuniorSeniorCheese13132220Meat24201313Veggie13132420If a student is selected at random, what is the probability that he or she prefers meat toppings?Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.480. Find the probability that in a given year it will not snow on January 1st in that town.Each letter of the alphabet is written on a separate piece of paper and placed in a box. Find the probability of drawing a vowel (a, e, i, o, u) or a letter in the word “segments”. A restaurant offers salads with 8 different types of dressings and 4 different toppings. How many different types of salads are available?Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second card is a spade if the first card was not a spade?A bag contains 7 red chips and 10 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that both chips are red?Hello Class,Use?this template to submit your work.? Copy and paste this template into a Microsoft Word document to submit your step-by-step solutions.? Put the answer to the problem in the far right hand column which is marked Final Answer?SectionProblemYour SolutionFinal Answer??1?Count the values from 60-69, 70-79, 80-89, and 90-99. Then put the counts into a table.?IntervalFrequency60-69370-791280-89790-993??2?First, sort the data into groups by 10’s:20 20 20 22 23 24 24 25 27 2830 32 35 3741 42 47 48 4950 52 5860 65Then put this into stem and leaf format.2 | 0 0 0 2 3 4 4 5 73 | 0 2 5 74 | 1 2 7 8 95 | 0 2 86 | 0 5??3?Using Excel???4?Using Excel???5?Read off the y axis value at the point for Test 2.?3 hours??6?Mean = sum/count= (65+76+82+77+67+92+63+85+97+89+79+71+50+91+85+77+85+79+18+89)/20= 75.85 (round this for the final answer)?75.9??7?Sort the data:5 8 8 9 15 18 18 18Take the average of the middle two numbers:(9+15)/2 = 24/2 = 12?12??8?The mode is the most common number in the set.?24.7??9?Range = highest – lowest= 35-14 = 21?21??10?First, get the mean:(13+1+17+11+14)/5 = 11.2Now add up the square deviations from the mean:(13-11.2)^2 + (1-11.2)^2 + (17-11.2)^2 + (11-11.2)^2 + (14-11.2)^2= 148.8Divide by the count of 5:148.8/5 = 29.76 which rounds to the final answer?29.8??11?First, get the mean:(2+5+47+11+13+48+39+36)/8 = 25.125Now add up the square deviations from the mean:(2-25.125)^2 + (5-25.125)^2 +(47-25.125)^2 +(11-25.125)^2 +(13-25.125)^2 +(48-25.125)^2 +(39-25.125)^2 +(36-25.125)^2= 2598.875Divide by the count of 8:2598.875/8 = 324.859375Take the square root:Sqrt(324.859375) = about 18.02?18.0??12?Sort them:59 60 61 62 63 66 69 71 72 73 76 77 78 80 81 81 82 83 83 84 86 88 89 91 93 94 95 96 97 98Get Q1, which is the median of the first half of numbers, the 8th number: 71Get Q3, which is the median of the second half of numbers, the 8th number from the end: 89Subtract: 89-71 = 18?18??13?You could pick any of the numbers from one through ten.?{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}??14?There are two red 7’s in the deck (hearts/diamonds) out of 52 cards:2/52 = 1/26?1/26??15?Prob = meattotal / overalltotal= (24+20+13+13)/(13+13+22+20+24+20+13+13+13+13+24+20)= 70/208= 35/104?35/104??16?Prob(not snow) = 1- prob(snow)= 1 - 0.480= 0.52?0.520??17?There are 26 total letters.The valid letters are:a, e, i, o, u, s, g, m, n, tThere are 10 of those.10/26 = 5/13?5/13??18?We have to assume that you can only get 1 dressing and 1 topping...Using the multiplication rule:8 * 4 = 32?32??19?If the first card was not a spade, there are still 13 spades left, but only 51 cards to draw from:13/51?13/51??20?There are 17 chips in the bag. On the first draw:7/17Now there are 16 chips left, and only 6 are red:6/16Multiply:7/17 * 6/16= 7/17 * 3/8= 21/136?21/136? ................
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