WEBVTT FILE 1 00:00:00.310 --> 00:00:01.740 [Music] 2 00:00:01.740 --> 00:00:04.740 laughs 3 00:00:05.400 --> 00:00:07.799 basic statistics 4 00:00:07.799 --> 00:00:09.539 three out of four dentists recommend 5 00:00:09.539 --> 00:00:12.539 using Brand X toothpaste Most teens need 6 00:00:12.539 --> 00:00:14.580 eight or nine hours of sleep each night 7 00:00:14.580 --> 00:00:17.100 the average amount of homework a student 8 00:00:17.100 --> 00:00:19.199 gets each week and the U.S is a little 9 00:00:19.199 --> 00:00:22.140 more than 3.5 hours have you ever heard 10 00:00:22.140 --> 00:00:23.579 different numbers used to give 11 00:00:23.579 --> 00:00:26.220 information about something if yes then 12 00:00:26.220 --> 00:00:27.480 you have been listening to the results 13 00:00:27.480 --> 00:00:30.240 of Statistics statistics is the science 14 00:00:30.240 --> 00:00:32.579 or practice of collecting and analyzing 15 00:00:32.579 --> 00:00:35.040 data in large quantities once data is 16 00:00:35.040 --> 00:00:37.739 collected analyzed and interpreted it 17 00:00:37.739 --> 00:00:39.479 may be used for many different reasons 18 00:00:39.479 --> 00:00:42.239 such as weather forecasts medical 19 00:00:42.239 --> 00:00:45.360 decisions political campaigns Insurance 20 00:00:45.360 --> 00:00:48.000 and financial decisions consumer goods 21 00:00:48.000 --> 00:00:50.940 product testing crime reports and many 22 00:00:50.940 --> 00:00:54.059 more almost everyone uses statistics in 23 00:00:54.059 --> 00:00:56.760 one way or another sometimes you use 24 00:00:56.760 --> 00:00:59.760 statistics without ever realizing it for 25 00:00:59.760 --> 00:01:02.100 example you may decide to download a new 26 00:01:02.100 --> 00:01:04.680 song Because thousands or millions of 27 00:01:04.680 --> 00:01:06.780 other people have downloaded the song 28 00:01:06.780 --> 00:01:09.060 the number of people who have downloaded 29 00:01:09.060 --> 00:01:11.340 the song is a statistic it has a large 30 00:01:11.340 --> 00:01:13.680 quantity of data that has been collected 31 00:01:13.680 --> 00:01:16.200 and you have analyzed it you may have 32 00:01:16.200 --> 00:01:19.380 interpreted the data as well by saying a 33 00:01:19.380 --> 00:01:21.540 lot of other people like this so I will 34 00:01:21.540 --> 00:01:23.880 probably like it too there are several 35 00:01:23.880 --> 00:01:26.100 important numbers used in basic 36 00:01:26.100 --> 00:01:29.759 statistics the data set the mean the 37 00:01:29.759 --> 00:01:33.540 median the mode and the range regardless 38 00:01:33.540 --> 00:01:36.180 of the data collected every set of 39 00:01:36.180 --> 00:01:39.659 Statistics usually has a mean median and 40 00:01:39.659 --> 00:01:42.240 a range and some sets will also include 41 00:01:42.240 --> 00:01:43.500 a mode 42 00:01:43.500 --> 00:01:47.579 what are they the term data set includes 43 00:01:47.579 --> 00:01:49.320 the actual information collected 44 00:01:49.320 --> 00:01:52.500 analyzed and interpreted by using the 45 00:01:52.500 --> 00:01:56.280 mean median mode and range all 46 00:01:56.280 --> 00:01:58.560 statistics begin with the set of data 47 00:01:58.560 --> 00:02:00.720 usually numbers 48 00:02:00.720 --> 00:02:03.780 here's an example 10 straight days of 49 00:02:03.780 --> 00:02:05.280 temperatures in New York City during 50 00:02:05.280 --> 00:02:14.280 October were 66 68 64 61 70 72 72 68 64 51 00:02:14.280 --> 00:02:16.260 and 64. 52 00:02:16.260 --> 00:02:19.260 mean most likely you have heard the word 53 00:02:19.260 --> 00:02:22.500 average the mean is simply the average 54 00:02:22.500 --> 00:02:25.020 set of numbers you add the numbers 55 00:02:25.020 --> 00:02:27.720 together and then divide the result by 56 00:02:27.720 --> 00:02:31.080 the quantity of numbers for example add 57 00:02:31.080 --> 00:02:33.000 the temperatures together and then 58 00:02:33.000 --> 00:02:37.860 divide by 10. 669 divided by 10 equals 59 00:02:37.860 --> 00:02:40.400 66.9 60 00:02:40.400 --> 00:02:44.400 66.9 is the mean of the data set 61 00:02:44.400 --> 00:02:48.360 median the median of a set of data is 62 00:02:48.360 --> 00:02:51.300 the middle number of a set of data to 63 00:02:51.300 --> 00:02:53.879 find the median align the data from the 64 00:02:53.879 --> 00:02:55.379 smallest to the largest 65 00:02:55.379 --> 00:02:58.200 if the quantity of numbers is even add 66 00:02:58.200 --> 00:03:00.780 the two middle numbers together and then 67 00:03:00.780 --> 00:03:02.239 divide by two 68 00:03:02.239 --> 00:03:09.180 134 divided by 2 equals 67. so 67 is the 69 00:03:09.180 --> 00:03:10.139 median 70 00:03:10.139 --> 00:03:13.980 mode the mode for a set of data is the 71 00:03:13.980 --> 00:03:16.560 number appearing the most if numbers 72 00:03:16.560 --> 00:03:19.800 appear an equal number of times there 73 00:03:19.800 --> 00:03:22.620 could be more than one modes if every 74 00:03:22.620 --> 00:03:25.019 number appears an equal number of times 75 00:03:25.019 --> 00:03:27.659 then there is no mode 76 00:03:27.659 --> 00:03:30.659 the mode for a set of data is the number 77 00:03:30.659 --> 00:03:33.780 appearing the most for example 78 00:03:33.780 --> 00:03:36.780 use the aligned numbers which number 79 00:03:36.780 --> 00:03:38.879 appears the most 80 00:03:38.879 --> 00:03:42.959 if you said 64 you're right 64 appears 81 00:03:42.959 --> 00:03:46.560 the most so it is the mode 82 00:03:46.560 --> 00:03:50.459 range the range for a set of data is the 83 00:03:50.459 --> 00:03:52.140 difference between the lowest and 84 00:03:52.140 --> 00:03:54.659 highest numbers find the highest number 85 00:03:54.659 --> 00:03:57.599 and subtract the lowest number 86 00:03:57.599 --> 00:04:00.420 for example subtract the smallest number 87 00:04:00.420 --> 00:04:05.900 from the largest number so 72 minus 61 88 00:04:05.900 --> 00:04:11.580 equals 11. so 11 is the range in summary 89 00:04:11.580 --> 00:04:16.339 the data set has 10 values its mean is 90 00:04:16.339 --> 00:04:22.740 66.9 the median is 67. the mode is 64. 91 00:04:22.740 --> 00:04:26.279 and the range is 11. how can this be 92 00:04:26.279 --> 00:04:28.680 analyzed the average temperature in New 93 00:04:28.680 --> 00:04:30.960 York City is nearly 67 degrees 94 00:04:30.960 --> 00:04:34.380 Fahrenheit in October but sometimes it 95 00:04:34.380 --> 00:04:36.600 can get a little cooler because the mode 96 00:04:36.600 --> 00:04:40.199 was lower at 64 degrees Fahrenheit 97 00:04:40.199 --> 00:04:42.360 here's how to remember the statistical 98 00:04:42.360 --> 00:04:45.900 terms mean median and mode they all 99 00:04:45.900 --> 00:04:48.360 begin with the letter M mean is the 100 00:04:48.360 --> 00:04:50.639 average and takes the longest to solve 101 00:04:50.639 --> 00:04:54.240 which might make you mean the median has 102 00:04:54.240 --> 00:04:56.699 the letter D just like the word middle 103 00:04:56.699 --> 00:05:00.900 and mode begins with Mo just like the 104 00:05:00.900 --> 00:05:02.699 word most 105 00:05:02.699 --> 00:05:04.860 what is the most surprising data or 106 00:05:04.860 --> 00:05:07.979 statistic you have heard in your life 107 00:05:07.979 --> 00:05:10.259 what was it about 108 00:05:10.259 --> 00:05:13.139 hope you had fun learning with us visit 109 00:05:13.139 --> 00:05:15.839 us at learnbrite.org 110 00:05:15.839 --> 00:05:18.839 for thousands of free resources and 111 00:05:18.839 --> 00:05:21.300 TurnKey solutions for teachers and 112 00:05:21.300 --> 00:05:24.079 homeschoolers 113 00:05:26.080 --> 00:05:29.220 [Music]