Question

For the following data: (sorted)
3 4 5 8 8 10 12 12 20 22
a) Calculate
1) Average or average
6) The Range
2) The median
7) The Intercuartilico range
3) Fashion
8) Variance
4) The middle range
9) Standard deviation
5) The middle axis
10) the coefficient of variation
B. Prepare a Graphic Box Plot (Box and Wisker)
C. Determine border values or near atypical numbers (outliers)
D) answer whether or not there are atypical numbers. What are they?
Determine how many standard deviations are number 8 of your average.
f) If the standard deviation was to be estimated, what would be your estimate?
g) According to the Tchevyshev theorem between which pair of values must be at least 75% of the data.

Answer 1

Solution First we crite the given docta in ascending order (abready serted) 3, 4,5, 8, 8,10, 12, 12, 20, 22 Now we calclae average that is nmean. Total sum of obsevastons mean no of obseNationg 44 +5 + 8 +8 +1o12 12+20+22 10 104 24 Compute sange. Now we - smallest tobservatlon Range largest obsesuation 22-3 Now we compute mediah. Here ha 10 Ceven) Then Pormula Por med iah is th Median o + () 8 +10 - 9

Calculate interquarti le range ' Now we Intenquarrtile onge 17 is the median of the louses half of the data, and ' is the median of the uppers half of the deta 1 IS tower half upper half data 12 12 22 Median is the middle mast value 2. Median ct the towers half: =5 Median of the uppers half o 20 Interquamtile renge 1 20-5 ミ 15 hope this will help you