Download Its All about you Guided Resource 2

IT’S ALL ABOUT YOU
OBJECTIVE: STUDENTS WILL USE THIS WORKSHEET AS A GUIDE TO THE STEPS ON HOW TO GATHER AND ORGANIZE
DATA TO CREATE DOT PLOTS, HISTOGRAMS AND BOX PLOTS.
DIRECTIONS: STUDENTS WILL WORK IN PAIRS. USE THE RULER OR TAPE MEASURE PROVIDED AND MEASURE THE
LENGTH OF YOUR PARTNER’S HEIGHT, SHOE LENGTH, HEAD SIZE (CIRCUMFERENCE), AND HAND SIZE.
WRITE THE NUMBERS ON THE BOARD IN THE APPROPRIATE COLUMN. AFTER EVERYONE IN CLASS HAS WRITTEN THEIR
NUMBERS IN THE COLUMNS, COPY THE CLASS DATA ON TO YOUR PAPER.
1. HEIGHT:
MEASURE THE HEIGHT OF YOUR PARTNER. YOU CAN MEASURE THEM STANDING UP OR LYING DOWN. WRITE THE
HEIGHT HERE: ______________. NOW GO AND WRITE IT UP ON THE BOARD.
ONCE EVERYONE IN CLASS HAS WRITTEN THEIR MEASUREMENTS ON THE BOARD, FOLLOW THE STEPS BELOW TO
CALCULATE THE MEAN, MEDIAN, MODE
TO FIND THE MEAN ….
STEP #1: COPY THE NUMBERS IN THE SPACE BELOW.
STEP #2: FIND THE SUM OF THOSE NUMBERS. WRITE THAT NUMBER HERE:____________
STEP #3: COUNT HOW MANY NUMBERS THERE WERE. HINT: IT SHOULD BE THE SAME AMOUNT AS THE NUMBER OF
STUDENTS THAT WERE IN CLASS TODAY. WRITE THAT NUMBER HERE:___________
STEP #4: TO FIND THE “MEAN”, TAKE THE ANSWER YOU GOT FOR STEP #2 AND DIVIDE IT BY THE ANSWER YOU GOT
FOR STEP #3.
NOTE: THE “MEAN” OF A SET OF DATA IS =
THE SUM OF THE DATA
THE NUMBER OF DATA ENTRIES
WHAT IS THE MEAN OF THIS DATA? WRITE THAT NUMBER HERE: ______________
WHAT IS ANOTHER COMMONLY USED TERM FOR THE “MEAN”?
WHAT DOES THE MEAN TELL US?
= ________________
= ________________
TO FIND THE MEDIAN … (finding the center number of the data set)
STEP #1: COPY THE NUMBERS (DATA) IN ORDER FROM SMALLEST TO LARGEST BELOW. IT DOES NOT HAVE TO BE
WRITTEN VERTICALLY. Why would you put the data in order?
STEP #2: CROSS OUT THE LOWEST AND HIGHEST NUMBERS. THEN CROSS OUT THE NEXT LOWEST AND HIGHEST
NUMBERS. KEEP USING THIS SAME PROCESS UNTIL ONLY ONE OR TWO NUMBERS REMAIN. When will you have only one
number left? When will you have 2 numbers left?
STEP #3: IF THERE IS ONLY ONE NUMBER LEFT THEN THAT NUMBER IS THE MEDIAN.
IF THERE ARE TWO NUMBERS LEFT IN THE MIDDLE, YOU NEED TO AVERAGE THEM TO GET THE MEDIAN.
TO FIND THE MODE ….
STEP #1: LOOK AT THE NUMBERS (DATA). IF THERE IS A NUMBER THAT APPEARS MORE THAN ANY OTHER NUMBER,
THEN THAT NUMBER IS THE MODE.
STEP #2: IF THERE ISN’T A NUMBER THAT APPEARS MORE THAN ANY OTHER NUMBER, THEN THERE IS NO MODE.
STEP #3: IF THERE ARE TWO OR MORE NUMBERS THAT APPEAR THE SAME AMOUNT OF TIME, THEN EACH OF THEM
ARE MODES
2. SHOE SIZE:
ASK PARTNER FOR SHOE SIZE. WRITE THE SIZE HERE: _______________
NOW GO AND WRITE IT UP ON THE BOARD. ONCE EVERYONE IN CLASS HAS WRITTEN THEIR SIZES ON THE BOARD, COPY
THE NUMBERS IN THE SPACE BELOW.
CREATING A DOT PLOT
STEP #1: LOOK AT YOUR NUMBERS (DATA). DETERMINE THE SMALLEST AND LARGEST NUMBER. WRITE THE
SMALLEST NUMBER HERE: ________ WRITE THE LARGEST NUMBER HERE: _________
STEP #2: MAKE A NUMBER LINE THAT INCLUDES BOTH THE SMALLEST AND THE LARGEST NUMBER BELOW:
STEP #3: LABEL YOUR NUMBER LINE.
STEP #4: CREATE A TITLE FOR YOUR GRAPH
STEP #5: FOR EACH NUMBER (DATA), DRAW A DOT ABOVE YOUR NUMBER LINE. PUT IT RIGHT ABOVE THE NUMBER IT
REPRESENTS ON THE NUMBER LINE.
CREATING A HISTOGRAM
3. HEAD SIZE:
MEASURE THE DISTANCE AROUND THE HEAD OF YOUR PARTNER. MEASURE ACROSS THEIR FOREHEAD AND GO
AROUND ABOVE THEIR EARS. WRITE THE DISTANCE HERE: ______________
NOW GO AND WRITE IT UP ON THE BOARD.
STEP #1: DETERMINE THE DIFFERENCE BETWEEN THE HIGHEST AND LOWEST NUMBER. WRITE THAT
NUMBER HERE: ___________
STEP #2: DETERMINE A NUMBER THAT YOU WILL BE USING AS THE INTERVAL FOR EACH BAR IN THE HISTOGRAM. THE
INTERVALS CREATE GROUPS FOR YOUR DATA. THIS WILL BE GROUPING HEAD SIZES TOGETHER.
STEP #3: USING THE INTERVALS THAT YOU DETERMINED IN STEP #2, LABEL YOUR INTERVALS.’ON THE X AXIS.
STEP #4: LABEL THE Y AXIS FROM THE LOWEST NUMBER TO THE HIGHEST NUMBER OF STUDENTS THAT HAD A
PARTICULAR RANGE OF HEAD SIZES.
STEP #5: DRAW A SHORT HORIZONTAL LINE ACROSS FROM THE NUMBER THAT REPRESENTS THE TOTAL NUMBER OF
STUDENTS WHO HAD THE SMALLEST HEAD SIZE INTERVAL (GROUP). DO THE SAME THING FOR EACH INTERVAL
(GROUP).
STEP #6: CREATE A RECTANGULAR BOX BY DRAWING LINES STRAIGHT UP FROM THE SIDES OF THE INTERVALS
(GROUPS). THE TOP OF THE BOX YOU ALREADY CREATED IN STEP #5.
STEP #7: CREATE LABELS FOR THE HISTOGRAM
CREATING A BOX PLOT
4. HAND SIZE:
MEASURE THE DISTANCE FROM THE TIP OF THEIR PINKY FINGER TO THE TIP OF THEIR THUMB. MAKE SURE THAT
WHEN YOU ARE MEASUREING THAT THEY HAVE THEIR FINGERS SPREAD OUT AS FAR AS THEY CAN GO. WRITE THE
DISTANCE HERE: __________________. NOW GO AND WRITE IT UP ON THE BOARD.
STEP #1: CREATE A NUMBER LINE THAT INCLUDES THE HIGHEST AND LOWEST NUMBERS IN YOUR DATA.
STEP #2: CALCULATE THE “5 SUMMARY NUMBERS” WHICH ARE THE LOWEST NUMBER, THE HIGHEST NUMBER, THE
MEDIAN, Q1 AND Q3. FOLLOW THE STEPS BELOW TO DO THIS.
THE LOWEST AND HIGHEST NUMBERS ARE THE EASIEST TO FIND; JUST LOOK AT THE DATA. WRITE THOSE NUMBERS
HERE:
LOWEST = ______________ HIGHEST = ________________
CALCULATE THE MEDIAN. PUT THE NUMBERS IN ORDER FROM SMALLEST TO THE LARGEST. FIND THE MIDDLE
NUMBER. IF YOU END UP WITH 2 NUMBERS IN THE MIDDLE, YOU HAVE TO AVERAGE THOSE 2 NUMBERS. WRITE THE
MEDIAN NUMBER HERE: __________
TO FIND THE Q1 (THE FIRST QUARTILE), PUT THE NUMBERS IN ORDER FROM SMALLEST TO THE LARGEST. FIND THE
MIDDLE NUMBER OF THE LOWER HALF OF NUMBERS. THAT IS THE Q1. WRITE THAT NUMBER HERE: ________
TO FIND THE Q3 (THE THIRD QUARTILE), PUT THE NUMBERS IN ORDER FROM SMALLEST TO THE LARGEST. FIND THE
MIDDLE NUMBER OF THE UPPER HALF OF NUMBERS. THAT IS THE Q3. WRITE THAT NUMBER HERE: ________
STEP #3: PLACE A DOT ABOVE YOUR NUMBER LINE FOR YOUR EACH OF THE “5 SUMMARY NUMBERS” YOU FOUND IN
STEP #2.
STEP #4: MAKE A BOX USING Q1 AND Q3. THE MEDIAN NUMBER SHOULD BE IN THE BOX YOU JUST CREATED.
STEP #5: MAKE THE “WHISKERS” BY DRAWING A SMALL STAR ABOVE THE NUMBER LINE AND CONNECTING IT TO THE
BOX.
STEP #6: CHECK FOR OUTLIERS IN THE DATA BY USING THE FORMULA (1.5 )(Q3 – Q1) = A NUMBER YOU SUBTRACT
FROM Q1 AND ALSO ADD TO Q3. IF THERE IS ANY DATA THAT IS SMALLER THAN THAT IT IS CONSIDERED AN OUTLIER.
IF YOU ADD THAT NUMBER TO Q3, AND IF THERE IS A NUMBER GREATER THAN IT, THEN IT’S CONSIDERED AN OUTLIER
TOO.
STEP #7: YOU MUST ERASE THE WHISKER LINES GOING TO ALL OUTLIERS IN THE DATA. THE STAR REMAINS ON YOUR
LINE GRAPH THOUGH. CREATE NEW WHISKERS THAT GO TO THE SMALLEST AND LARGEST NUMBERS THAT AREN’T
OUTLIERS.