[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.74,0:00:02.99,Default,,0000,0000,0000,,A statistician for\Na basketball team
Dialogue: 0,0:00:02.99,0:00:04.80,Default,,0000,0000,0000,,tracked the number\Nof points that each
Dialogue: 0,0:00:04.80,0:00:07.60,Default,,0000,0000,0000,,of the 12 players on the\Nteam had in one game.
Dialogue: 0,0:00:07.60,0:00:12.01,Default,,0000,0000,0000,,And then made a stem-and-leaf\Nplot to show the data.
Dialogue: 0,0:00:12.01,0:00:14.04,Default,,0000,0000,0000,,And sometimes it's\Ncalled a stem-plot.
Dialogue: 0,0:00:14.04,0:00:16.10,Default,,0000,0000,0000,,How many points\Ndid the team score?
Dialogue: 0,0:00:16.10,0:00:18.31,Default,,0000,0000,0000,,And when you first look at\Nthis plot right over here,
Dialogue: 0,0:00:18.31,0:00:19.95,Default,,0000,0000,0000,,it seems a little\Nhard to understand.
Dialogue: 0,0:00:19.95,0:00:22.44,Default,,0000,0000,0000,,Understand we have\N0, 1, 2 under leaf
Dialogue: 0,0:00:22.44,0:00:23.86,Default,,0000,0000,0000,,you have all of\Nthese digits here.
Dialogue: 0,0:00:23.86,0:00:26.19,Default,,0000,0000,0000,,How does this relate\Nto the number of points
Dialogue: 0,0:00:26.19,0:00:29.26,Default,,0000,0000,0000,,each student, or each\Nplayer, actually scored?
Dialogue: 0,0:00:29.26,0:00:31.75,Default,,0000,0000,0000,,And the way to interpret\Na stem-and-leaf plot
Dialogue: 0,0:00:31.75,0:00:33.91,Default,,0000,0000,0000,,is the leafs contain--\Nat least the way
Dialogue: 0,0:00:33.91,0:00:38.47,Default,,0000,0000,0000,,that this statistician used it--\Nthe leaf contains the smallest
Dialogue: 0,0:00:38.47,0:00:41.40,Default,,0000,0000,0000,,digit, or the ones digit,\Nin the number of points
Dialogue: 0,0:00:41.40,0:00:42.86,Default,,0000,0000,0000,,that each player scored.
Dialogue: 0,0:00:42.86,0:00:45.25,Default,,0000,0000,0000,,And the stem contains\Nthe tens digits.
Dialogue: 0,0:00:45.25,0:00:48.87,Default,,0000,0000,0000,,And usually the leaf will\Ncontain the rightmost digit,
Dialogue: 0,0:00:48.87,0:00:50.70,Default,,0000,0000,0000,,or the ones digit,\Nand then the stem
Dialogue: 0,0:00:50.70,0:00:52.84,Default,,0000,0000,0000,,will contain all of\Nthe other digits.
Dialogue: 0,0:00:52.84,0:00:54.48,Default,,0000,0000,0000,,And what's useful\Nabout this is it
Dialogue: 0,0:00:54.48,0:00:57.07,Default,,0000,0000,0000,,gives kind of a distribution\Nof where the players were.
Dialogue: 0,0:00:57.07,0:00:59.31,Default,,0000,0000,0000,,You see that most of\Nthe players scored
Dialogue: 0,0:00:59.31,0:01:01.44,Default,,0000,0000,0000,,points that started with a 0.
Dialogue: 0,0:01:01.44,0:01:04.21,Default,,0000,0000,0000,,Then a few more scored\Npoints that started with a 1.
Dialogue: 0,0:01:04.21,0:01:07.98,Default,,0000,0000,0000,,And then only one score scored\Npoints to started with a 2,
Dialogue: 0,0:01:07.98,0:01:09.45,Default,,0000,0000,0000,,and it was actually 20 points.
Dialogue: 0,0:01:09.45,0:01:11.98,Default,,0000,0000,0000,,So I'm going to actually\Nwrite down all of this data
Dialogue: 0,0:01:11.98,0:01:13.81,Default,,0000,0000,0000,,in a way that maybe\Nyou're a little bit more
Dialogue: 0,0:01:13.81,0:01:15.42,Default,,0000,0000,0000,,used to understanding it.
Dialogue: 0,0:01:15.42,0:01:18.92,Default,,0000,0000,0000,,So I'm going to write\Nthe 0's in purple.
Dialogue: 0,0:01:18.92,0:01:23.02,Default,,0000,0000,0000,,So there's, let's see, 1,\N2, 3, 4, 5, 6, 7 players
Dialogue: 0,0:01:23.02,0:01:25.07,Default,,0000,0000,0000,,had 0 as the first digit.
Dialogue: 0,0:01:25.07,0:01:28.46,Default,,0000,0000,0000,,So 1, 2, 3, 4, 5, 6, 7.
Dialogue: 0,0:01:31.33,0:01:33.04,Default,,0000,0000,0000,,I wrote seven 0's.
Dialogue: 0,0:01:33.04,0:01:37.09,Default,,0000,0000,0000,,And then this player also\Nhad a 0 in his ones digit.
Dialogue: 0,0:01:37.09,0:01:39.80,Default,,0000,0000,0000,,This player, I'm going to\Ntry to do all the colors,
Dialogue: 0,0:01:39.80,0:01:43.60,Default,,0000,0000,0000,,this player also had\Na 0 in his ones digit.
Dialogue: 0,0:01:43.60,0:01:46.22,Default,,0000,0000,0000,,This player right here\Nhad a 2 in his ones digit,
Dialogue: 0,0:01:46.22,0:01:48.71,Default,,0000,0000,0000,,so he scored a\Ntotal of 2 points.
Dialogue: 0,0:01:48.71,0:01:51.79,Default,,0000,0000,0000,,This player, let me\Ndo orange, this player
Dialogue: 0,0:01:51.79,0:01:54.33,Default,,0000,0000,0000,,had 4 for his ones digit.
Dialogue: 0,0:01:54.33,0:01:58.58,Default,,0000,0000,0000,,This player had 7\Nfor his ones digit.
Dialogue: 0,0:01:58.58,0:02:02.48,Default,,0000,0000,0000,,Then this player had\N7 for his ones digit.
Dialogue: 0,0:02:02.48,0:02:05.96,Default,,0000,0000,0000,,And then, let me see, I'm\Nalmost using all the colors,
Dialogue: 0,0:02:05.96,0:02:08.53,Default,,0000,0000,0000,,this player had 9\Nfor his ones digit.
Dialogue: 0,0:02:08.53,0:02:11.46,Default,,0000,0000,0000,,So the way to read this is, you\Nhad one player with 0 points.
Dialogue: 0,0:02:11.46,0:02:14.85,Default,,0000,0000,0000,,0, 2, 4, 7, 9 and 9.
Dialogue: 0,0:02:14.85,0:02:16.87,Default,,0000,0000,0000,,But you can see, and\Nit's kind of silly
Dialogue: 0,0:02:16.87,0:02:18.41,Default,,0000,0000,0000,,saying the zero\Nwas a tens digit,
Dialogue: 0,0:02:18.41,0:02:19.99,Default,,0000,0000,0000,,you could have even\Nput a blank there.
Dialogue: 0,0:02:19.99,0:02:21.62,Default,,0000,0000,0000,,But the 0 lets us\Nknow that they didn't
Dialogue: 0,0:02:21.62,0:02:24.70,Default,,0000,0000,0000,,score anything in\Nthe tens place.
Dialogue: 0,0:02:24.70,0:02:27.94,Default,,0000,0000,0000,,But these are the actual\Nscores for those seven players.
Dialogue: 0,0:02:27.94,0:02:31.70,Default,,0000,0000,0000,,Now let's go to the next row\Nin the stem-and-leaf plot.
Dialogue: 0,0:02:31.70,0:02:34.06,Default,,0000,0000,0000,,So over here, all of\Nthe digits start with,
Dialogue: 0,0:02:34.06,0:02:37.76,Default,,0000,0000,0000,,or all of the points start with\N1, for each of the players.
Dialogue: 0,0:02:37.76,0:02:40.94,Default,,0000,0000,0000,,And there's four of them.
Dialogue: 0,0:02:40.94,0:02:44.71,Default,,0000,0000,0000,,So 1, 1, 1, and 1.
Dialogue: 0,0:02:44.71,0:02:46.60,Default,,0000,0000,0000,,And then we have this\Nplayer over here,
Dialogue: 0,0:02:46.60,0:02:51.25,Default,,0000,0000,0000,,his ones digit, or her\Nones digit, is a 1.
Dialogue: 0,0:02:51.25,0:02:54.09,Default,,0000,0000,0000,,So this player,\Nthis represents 11.
Dialogue: 0,0:02:54.09,0:02:57.15,Default,,0000,0000,0000,,1 in the tens place,\N1 in the ones place.
Dialogue: 0,0:02:57.15,0:02:59.37,Default,,0000,0000,0000,,This player over\Nhere also got 11.
Dialogue: 0,0:02:59.37,0:03:02.77,Default,,0000,0000,0000,,1 in the tens place,\N1 in the ones place.
Dialogue: 0,0:03:02.77,0:03:06.08,Default,,0000,0000,0000,,This player, let me\Ndo orange, this player
Dialogue: 0,0:03:06.08,0:03:08.35,Default,,0000,0000,0000,,has 3 in the ones place.
Dialogue: 0,0:03:08.35,0:03:10.25,Default,,0000,0000,0000,,So he or she scored 13 points.
Dialogue: 0,0:03:10.25,0:03:14.07,Default,,0000,0000,0000,,1 in the tens place,\N3 in the ones place.
Dialogue: 0,0:03:14.07,0:03:15.77,Default,,0000,0000,0000,,13 points.
Dialogue: 0,0:03:15.77,0:03:18.02,Default,,0000,0000,0000,,And then I will\Ndo this in purple.
Dialogue: 0,0:03:18.02,0:03:20.76,Default,,0000,0000,0000,,This player has 8\Nin their ones place.
Dialogue: 0,0:03:20.76,0:03:23.16,Default,,0000,0000,0000,,So he or she scored 18 points.
Dialogue: 0,0:03:23.16,0:03:25.71,Default,,0000,0000,0000,,1 in the tens place,\N8 in the ones place.
Dialogue: 0,0:03:25.71,0:03:27.19,Default,,0000,0000,0000,,18 points.
Dialogue: 0,0:03:27.19,0:03:29.39,Default,,0000,0000,0000,,And then finally,\Nyou have this player
Dialogue: 0,0:03:29.39,0:03:33.22,Default,,0000,0000,0000,,that has the tens digit is a 2.
Dialogue: 0,0:03:33.22,0:03:37.30,Default,,0000,0000,0000,,And then the ones digit is a 0.
Dialogue: 0,0:03:37.30,0:03:38.42,Default,,0000,0000,0000,,I'll circle that in yellow.
Dialogue: 0,0:03:38.42,0:03:40.16,Default,,0000,0000,0000,,It is a 0.
Dialogue: 0,0:03:40.16,0:03:43.03,Default,,0000,0000,0000,,So he or she scored 20 points.
Dialogue: 0,0:03:43.03,0:03:45.37,Default,,0000,0000,0000,,So looking at the\Nstem-and-leaf plot,
Dialogue: 0,0:03:45.37,0:03:48.18,Default,,0000,0000,0000,,we were able to extract out\Nall of the number of points
Dialogue: 0,0:03:48.18,0:03:49.47,Default,,0000,0000,0000,,that all of the players scored.
Dialogue: 0,0:03:49.47,0:03:51.26,Default,,0000,0000,0000,,And once again, what\Nwas useful about this,
Dialogue: 0,0:03:51.26,0:03:54.11,Default,,0000,0000,0000,,is you see how many players\Nscored between 0 and 9 points,
Dialogue: 0,0:03:54.11,0:03:55.70,Default,,0000,0000,0000,,including 9 points.
Dialogue: 0,0:03:55.70,0:03:58.21,Default,,0000,0000,0000,,How many scored between\N10 and 19 points,
Dialogue: 0,0:03:58.21,0:04:00.45,Default,,0000,0000,0000,,and then how many scored\N20 points or over.
Dialogue: 0,0:04:00.45,0:04:02.62,Default,,0000,0000,0000,,And you see the distribution\Nright over here.
Dialogue: 0,0:04:02.62,0:04:04.36,Default,,0000,0000,0000,,But let's actually\Nanswer the question
Dialogue: 0,0:04:04.36,0:04:06.36,Default,,0000,0000,0000,,that they're asking\Nus to answer.
Dialogue: 0,0:04:06.36,0:04:09.19,Default,,0000,0000,0000,,How many points\Ndid the team score?
Dialogue: 0,0:04:09.19,0:04:10.92,Default,,0000,0000,0000,,So here we just\Nhave to add up all
Dialogue: 0,0:04:10.92,0:04:12.53,Default,,0000,0000,0000,,of these numbers\Nright over here.
Dialogue: 0,0:04:12.53,0:04:16.23,Default,,0000,0000,0000,,So we're going to add up, I'll\Nstart with the largest, so 20
Dialogue: 0,0:04:16.23,0:04:27.12,Default,,0000,0000,0000,,plus 18 plus 13 plus 11 plus\N11-- 13, 11, 11-- plus 9 plus 7
Dialogue: 0,0:04:27.12,0:04:33.18,Default,,0000,0000,0000,,plus 7 again plus 4 plus 2.
Dialogue: 0,0:04:33.18,0:04:34.01,Default,,0000,0000,0000,,Did I do that right?
Dialogue: 0,0:04:34.01,0:04:38.57,Default,,0000,0000,0000,,We have two 11's, then a 9,\Nthen two 7's, then a 4 then a 2,
Dialogue: 0,0:04:38.57,0:04:40.77,Default,,0000,0000,0000,,and then these two characters\Ndidn't score anything.
Dialogue: 0,0:04:40.77,0:04:42.35,Default,,0000,0000,0000,,So let's add up all\Nof these together.
Dialogue: 0,0:04:46.44,0:04:53.11,Default,,0000,0000,0000,,So 0 plus 8 is 8, plus 3 is\N11, plus 1 is 12, plus 1 is 13,
Dialogue: 0,0:04:53.11,0:05:03.49,Default,,0000,0000,0000,,plus 9 is 22, plus\N7 is 27, 34, 38, 40.
Dialogue: 0,0:05:03.49,0:05:05.06,Default,,0000,0000,0000,,So that gets us to 40.
Dialogue: 0,0:05:05.06,0:05:06.59,Default,,0000,0000,0000,,Let me do that one more time.
Dialogue: 0,0:05:06.59,0:05:22.23,Default,,0000,0000,0000,,8, 11, 11, 12, 13, 22, 29, 29,\Nand then 29, 36, 40, and 42.
Dialogue: 0,0:05:22.23,0:05:23.94,Default,,0000,0000,0000,,Looks like I actually\Nmight have messed--
Dialogue: 0,0:05:23.94,0:05:25.15,Default,,0000,0000,0000,,let me do that one more time.
Dialogue: 0,0:05:25.15,0:05:27.03,Default,,0000,0000,0000,,This is the hardest\Npart, adding these up.
Dialogue: 0,0:05:27.03,0:05:28.40,Default,,0000,0000,0000,,So let me try that\None last time.
Dialogue: 0,0:05:28.40,0:05:30.28,Default,,0000,0000,0000,,I'm just going to\Nstate where my sum is.
Dialogue: 0,0:05:30.28,0:05:40.66,Default,,0000,0000,0000,,So 0, 8, add 3, 11, 12,\N13, 22, 29, 36, 40, 42.
Dialogue: 0,0:05:40.66,0:05:42.66,Default,,0000,0000,0000,,So it's a good thing that\NI double checked that.
Dialogue: 0,0:05:42.66,0:05:44.72,Default,,0000,0000,0000,,I made a mistake the first time.
Dialogue: 0,0:05:44.72,0:05:49.49,Default,,0000,0000,0000,,4 plus 2 is 6, 7, 8, 9, 10.
Dialogue: 0,0:05:49.49,0:05:52.20,Default,,0000,0000,0000,,So we get to 102 points.
Dialogue: 0,0:05:52.20,0:05:57.54,Default,,0000,0000,0000,,The team, in total,\Nscored 102 points.