Question

Contemporary Mathematics Project - Statistics WORK MUST BE NEATLY WRITTEN OR TYPED S D 1 O b. Collect 15-20 pieces of data fr
2. Calculate the following measures of central tendency and dispersion. You must show the work for finding all of these. a. M
3. From your data construct the following. You must construct each graph BY HAND and LABEL all necessary parts Frequency dist
d. Line Graph or Bar Graph e. Pictogram or Circle Graph 4. Write a short statement telling what your survey results show. You

Based on the data provided of the last 15 presidents amd their ages upon taking office, I need assistance with standard devation and frequency distribution. also need help with drawing a histogram, box-plot, line or bar graph, and a pictogram. thanks so much!
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Answer #1

2a) mean=\sum age/15 =56.267

b) mode= highest value= donald trump age 70

c) range=maximaum value- minimum value=70-43=27

d)

president age x-mean (x-mean)2
herbert hoover 54 -2.26667 5.137778
franklin roosevelt 51 -5.26667 27.73778
harry truman 60 3.733333 13.93778
dwight eisenberg 62 5.733333 32.87111
john f kennedy 43 -13.2667 176.0044
lyndon johnson 55 -1.26667 1.604444
richard nixon 56 -0.26667 0.071111
gerald ford 61 4.733333 22.40444
jimmy carter 52 -4.26667 18.20444
ronald reagan 69 12.73333 162.1378
george hw bush 64 7.733333 59.80444
bill clinton 46 -10.2667 105.4044
george w bush 54 -2.26667 5.137778
barack obama 47 -9.26667 85.87111
donald trump 70 13.73333 188.6044

Standard deviation=\sqrt{1/15\sum (x-\bar x)^2}= 7.767

3a)

age frequency
43-47 3
48-52 2
53-57 4
58-62 3
63-67 1
68-72 2

b)

histogram 5 4.5 4 3.5 3 frequency 2.5 2 1.5 1 0.5 0 43-47 48-52 53-57 58-62 63-67 68-72 age

c)

1596188940071_image.png

d)

1596189088436_image.png

e)

age circle graph 43-47 48-52 53-57 58-62 63-67 68-72

4. Our results show that the age group of 53-57 has the most no. of presidents which also contains the mean.

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