# Psst … you should have started the Do Now!

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STATISTICS REVIEW copy down this data : heights of Ms. Gs homeroom students: 65676063 6563 6364 65737166 69607465. Psst you should have started the Do Now!. Column graphs, frequency tableS , Frequency histograms. 10 min lesson, 5 min exit slip. - PowerPoint PPT PresentationTRANSCRIPT

<p>STATISTICS REVIEW</p>
<p>Psst you should have started the Do Now!STATISTICS REVIEW</p>
<p>copy down this data: heights of Ms. Gs homeroom students:</p>
<p>6567606365636364657371666960746510 min lesson,5 min exit slipColumn graphs,frequency tableS,Frequency histogramsSTEP 1: FREQUENCY TABLE (variable x, freq. y)HeightFrequency602633641654661671691711731741Column graphs measure discrete data!STEP 2: COLUMN GRAPHColumn graphs measure discrete data!ProsSuper easy to make</p>
<p>Easy to readEven for middle schoolers!</p>
<p>Abundantly clearConsCan take a long time</p>
<p>Hard to see trends for groups of data (for example, is it coincidence or important that only 1 person is 64?)PROS and CONS of column graphsSTEP 1: Make a Frequency Table with IntervalsFrequency histograms measure continuous OR GROUPED data!Height Interval (inches)Frequency60 - 62263 - 65866 - 68269 - 71272 - 7425 is the ideal number of intervals!The intervals have to be equal in size!</p>
<p>(Here, I have five intervals with 3 in. each!)STEP 2: Make a Frequency Histogram with IntervalsFrequency histograms measure continuous OR GROUPED data!The bars have to be equal width and touch each other!Column GraphsStart with freq. tableList every answerWrite down frequency</p>
<p>Draw the column graphBars do NOT touchBars have equal widthFrequency HistogramsStart with freq. table5 intervals of equal widthFrequency is per group</p>
<p>Draw the histogramBars touch (covers all possible data)Bars have equal widthRECAP and Compare/contrastMisty asked Mr. Caines homeroom how many hours they typically slept on a Friday night. Here were their responses:</p>
<p>445666778899910101012</p>
<p>Make a frequency table for this data.</p>
<p>Sketch a column graph for this data.</p>
<p>Make a frequency table with intervals of 2 hours each (e.g., 4-5 hours) for this data.</p>
<p>Sketch a frequency histogram for this data.</p>
<p>EXIT SLIP: COLUMN GRAPHS & HISTOGRAMSAnswers are on the next slide!! (No room here)Make a Frequency TableSketch a Column GraphEXIT SLIP ANSWERS: COLUMN GRAPHS & HISTOGRAMS(c) And (d) are on the next slide ran out of room!Sleep (Hours)Frequency425163728293103121Make a Frequency Table with Intervals (group)Sketch a Frequency HistogramEXIT SLIP ANSWERS: COLUMN GRAPHS & HISTOGRAMSSleep Time (hours)Frequency4 536 758 9510 11312 - 1318 min lesson,3 min exit slipMEAN,Median,Mode,standard deviationMean measures the expected value.</p>
<p>Add them up!All the answers times the frequency of each answer.Called x-bar shows up as the mean on your calculator in One-Var StatsNumber of terms/answersTRY OUT MEAN with the formula!_______</p>
<p>Height in inches (xi)FrequencyProduct (fixi)60212063318964164654260661666716769169711717317374174SUM1610531053/16 = 65.8 (5 5.8)But what about MEAN for groups?? ___</p>
<p>1054/16 = 65.9 (5 5.9)Thats Easy! Just pick the middle of the interval as xi!Height (in.)Frequencyxi (interval) fixi60 - 6226112263 - 6586451266 - 6826713469 - 7127014072 - 74273146SUM16n/a1054STEP 1 of 1: Find the one that happens most often!MODE is the most common! ( la mode)The mode height for the homeroom is 65 (5 5).STEP 1/1: Find the modal class (happens most often).What about mode in groups?The modal class for homeroom height is 63 65.STEP 1: Put all the data in order.Median tells us the middle!We have two: (65 + 65)/2. Our mode is 65!6060636363646565656566676971737460606363636465656565666769717374STEP 2: Find the one in the middle. If you have two, average them.STEP 1: Enter height data into list 1.STANDARD DEVIATIONSelect STAT -> CALC -> ONE-VAR STATS(if you had a frequency list, you could actually put it into list 2, then put frequency = L2 on the stats screen)</p>
<p>Standard Deviation is the one thats baby sigma x: 65676063656363646573716669607465</p>
<p>Use the calculator! X = L1, Frequency = L2!HeightFrequency602633641654661671691711731741Try it all quickly with the Freq table!Mean ( )= 65.8, Median= 65, Mode= 65, SD ( )= 3.99 </p>
<p>Misty asked Mr. Caines homeroom how many hours they typically slept on a Friday night. Here were their responses:</p>
<p>445666778899910101012</p>
<p>Find the mean.</p>
<p>Find the median.</p>
<p>Find the mode.</p>
<p>Find the standard deviation.</p>
<p>EXIT SLIP: mean, median, mode and standard deviationMean = 7.65 hoursMedian = 8 hoursTechnically no mode: 6, 7 and 10 all happen the most.Standard Deviation = 2.22 hours5 min lesson,7 min exit slipCumulative frequencyCumulative frequency shows data you have accumulated thus far!HeightFrequencyCumulative Frequency60226335641665410661116711269113711147311574116Add a new column: In it, add up the frequencies so far.Cumulative frequency shows data you have accumulated thus far!Plot the variable as x, and cumulative frequency as y.Connect the dots with a smooth curve.Cumulative frequency shows data you have accumulated thus far!Use the graph to find the 75th percentile height.</p>
<p>67Answer:75% of students in Ms. Griffiths homeroom are 67 (5 7) or shorter.Misty asked Mr. Caines homeroom how many hours they typically slept on a Friday night. Here were their responses in a frequency table:</p>
<p>445666778899910101012</p>
<p>Make a cumulative frequency table.</p>
<p>Sketch a cumulative frequency graph.</p>
<p>What is the 25th percentile for # hours of sleep?</p>
<p>Complete this sentence using (c): 25% of students in Mr. Caines homeroom typically sleep ___ hours or fewer on Friday nights.</p>
<p>EXIT SLIP: Cumulative frequencyCumulative Frequency TableHrs SleptFreq.Cum. Freq.422513636728821093131031612117EXIT SLIP: Cumulative frequency25th percentile means 0.25 * 17 = 4.25 students. Follow the line!</p>
<p>25% of students in Mr. Caines homeroom typically sleep 5.5 hours or fewer on Fri. nights.Misty asked Mr. Caines homeroom how many hours they typically slept on a Friday night. Here were their responses in a frequency table:</p>
<p>445666778899910101012</p>
<p>Make a cumulative frequency table.</p>
<p>Sketch a cumulative frequency graph.</p>
<p>What is the 25th percentile for # hours of sleep?</p>
<p>Complete this sentence using (c): 25% of students in Mr. Caines homeroom typically sleep ___ hours or fewer on Friday nights.</p>
<p>EXIT SLIP: Cumulative frequency2 min lesson,3 min exit slipFlash Section 1:Statistics vocabDiscrete Data you count, or data that has been roundedExamples: Shoe size, number of people, number of trees, clothes size</p>
<p>Continuous Measured data, can take more decimal placesExamples: Height, weight, length, distance, speed</p>
<p>Outlier Data far away from the main body of data.Formal definition: data more than 3 std dev away from the meanExample: Sheldon in Big Bang Theory in terms of IQ</p>
<p>Parameter The variable when were talking about populationExample: Average height of IDEA Donna seniors, average income of US</p>
<p>Statistic The variable when were talking about the sampleExample: Average height of the 15 people I happened to askMain vocab words missedPossible answer choices:A OutlierC StatisticE DiscreteB ParameterD Continuous</p>
<p>Height is an example of a continuous (D) variable because I measure to get the data.An outlier (A) is a datum that lies outside the standard, middle group of data.If I asked every single US resident his or her age and found the mean, I would have a parameter (B) .Shoe size is a discrete (E) variable because only certain sizes exist.If I asked a sample of Texas residents their income and found the average, I would have a statistic (C) .FLASH EXIT SLIP - VOCAB!!! 3 min lesson,3 min exit slipFlash Section 2:Box plotsSTEP 1: Enter data into calculator (L1) and find the quarters!(0%, 25%, 50%, 75%, 100% aka min, Q1, med, Q3, max)Boxplots 10160606363636465656565666769717374Min = 60, Q1 = 63, Med = 65, Q3 = 68, Max = 74STEP 2: Make the Boxplot: Scale, Dots, Box, Connect!</p>
<p>Misty asked Mr. Caines homeroom how many hours they typically slept on a Friday night. Here were their responses in a frequency table:</p>
<p>445666778899910101012</p>
<p>Find the following:Min = 4Q1 = 6Med = 8Q3 = 9.5Max = 12</p>
<p>EXIT SLIP: Box plots</p>
<p>I got to go to the moon because I did my stats study guide! It made me smarter!</p>