Math- statistics - need help with problems 1-34 (a-f) - please fully explain the

Question

Math- statistics
- need help with problems 1-34 (a-f)
- please fully explain the answer to following questions
- information is all there in the picture
- thank you

Efren has been keeping data on the Calaveras Frog Jumping Contest for several years. Look carefully at the stem-and-leaf plot he made for the top 8 jumpers in 2007, shown at right. 1-34. 2007 Frog Jump Winners Stem-and-Leaf Plot Note: 22 l1 means 221 inches 22 1 2 5 8 23 4 8 24 5 25 6 a. What is the minimum (smallest) value? What is the maximum (largest) value? Are there any outliers in the data? Is it possible to find the median of the b. stem leaf c. data in the stem-and-leaf plot? If so, find the median. If not, explain why not d. Is it possible to find the mean with the stem-and-leaf plot? Calculate it and e. Which represents a "typical" jump for 2007 better, the mean or median? f. Create a new stem-and-leaf plot for the 2006 data below. What is a typical jump explain what the mean tells you about the frog jumps in 2007 for 2006? 2006 Frog Name Jump Length Clausenn's Cuzor Whipper Me Me Me Me Haren's Heat Midnight Croaker Alex's Hopper Oh Sweet Sue Humpty Jumpty 235 in. 222 in 212 in 212 in 209 in. 208 in. 205 in. 204 in

Explanation / Answer

a] Minimum value from given stem and leaf plot is 221 inch

   Maximum value from given stem and leaf plot is 256 inch.

b] Yes, two outliers in the given data 245 and 256.

c] Yes we can find Median from stem and leaf plot

    first count the total numbers, we have 8 vaules of jumpers (even number).

    Median = arithmatic mean of middle two observations = (228 + 234)/2 = 231 is the median of given data set.

d] Yes, we can find Mean from stem and leaf plot

    Do the sum of all the given observations = (221 + 222 + 225 + 228 + 234 + 238 + 245 + 256) = 1869

    Mean = 1869/8 = 233.625 inch.

e] Median give us 231 inch jump and Mean tell us 233.625 inch jump, And due to two outiers in this data,So  

    Median is the better represents of data. Because Mean is affects on extream observations.

f]

Stem Leaf 20 4 5 8 9 21 2 2 22 2 23 5

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