1(a) Use the range approximation to estimate the value ofsfor this set. (HINT: Use the table below. Round your answer to four decimal places.)

Number of Measurements		Expected Ratio of Range tos
5		2.5
10		3
25		4

s

(b) Use your calculator to find the actual value ofs. (Round your answer to four decimal places.) s= (c) Draw a dotplot of this data set.

Are the data mound-shaped?

i. Yes

ii. No

(d) Can you use Tchebysheff's Theorem to describe this data set? Why or why not? (choose your answer from option below)

i. Yes, because Tchebysheff's Theorem can be used with any data set.

ii. Yes, because the data set is mound-shaped.

iii. Yes, because there are at least 10 measurements.

iv. No, because the data set is not mound-shaped.

v. No, because the data set is mound-shaped.

(e) Can you use the Empirical Rule to describe this data set? Why or why not? (choose your answer from option below)

i. Yes, because the Empirical Rule can be used with any data set.

ii. Yes, because the data set is mound-shaped.

iii. Yes, because there are at least 10 measurements.

iv. No, because the data set is not mound-shaped.

v. No, because the data set is mound-shaped.

2. You are given n = 8 measurements: 2, 1, 4, 5, 3, 3, 2, 4.

(a) Find the mean

x =

(b) Find m.

m =

(c) Based on the results of parts (a) and (b), are the measurements symmetric or skewed?

(choose your answer from option below)

i. The measurements are skewed to the right.

ii. The measurements are symmetric.

iii. The measurements are skewed to the left.

(d) Draw a dotplot to confirm your answer.