STAT 101 Lecture Notes - Lecture 7: Normal Distribution, Cittern, Electronvolt

130 views21 pages

aquamarineshark362

16 Mar 2019

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

Boxplots are a way of summarizing data through visualizing the ve number summary which consists of the minimum value, rst quartile, median, third quartile, and maximum value of a data set. If a data set has no outliers, a boxplot will be made up of the following values. But, if there are outliers (those are values that fall far from the main pattern of the dataset), then a boxplot will instead be made up of the following values. M i n i m u m v a l u e (that"s not an: u t l i e r ) M a x i m u m v a l u e (that"s not an: u t l i e r ) As you can see above, outliers (if there are any) will be shown by stars or points off the main plot. If there are no outliers, you simply won"t see those points.

Related Questions

For these situations, state which measure of central tendency -mean, median, or mode-should be shed.

a. The most typical case is desired Mode.

b. The distribution is open-ended Median

c. There is an extreme value in the data set. Median

d. The data are acategorical. Mode.

e. Further statistical computations will be needed. Mean

f. The values are to be divided into two approximately equal groups containing the larger values and one containing the smaller values.

redjellyfish557

Consider the following Minitab display of two data sets.

Variable	N	Mean	SE Mean	StDev	Minimum	Q1	Median	Q3	Maximum
C1	20	20.00	1.62	7.26	7.00	15.00	20.00	25.00	31.00
C2	20	20.00	1.30	5.79	7.00	20.00	22.00	22.00	31.00

(1) What are the respective means? The respective ranges?

mean

of c1: range of c1:

mean of c2:

range of c2:

(2) Which data set seems more symmetric? Why?

a. C2 seems more symmetric because the median is greater than the mean.

b. C1 seems more symmetric because the standard deviation is greater than the standard deviation for C2.

c. C1 seems more symmetric because the mean is equal to the median.

d. C2 seems more symmetric because the interquartile range is smaller than the interquartile range for C1.

(3) Compare the interquartile ranges of the two sets. How do the middle halves of the data sets compare?

a. The C1 distribution has a larger interquartile range that is symmetric around the median.

b. The C2 distribution has a smaller interquartile range that is symmetric around the median.

c. The C1 distribution has a smaller interquartile range that is symmetric around the median.

d. The C2 distribution has a larger interquartile range that is symmetric around the median.

cyanwildebeest393

A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the second largest number). This fact will NOT prevent you from answering the questions below.

(a) Calculate range, IQR, and median of these data.

(b) Given that the mean of these data is 63.50 (exactly) and the standard deviation is 12.33, what proportion of the data lie within one standard deviation of the mean?

(d) Ralph decides to delete the smallest observation, 14.1, from these data. Thus, Ralph has a data set with n = 39. Calculate the range, IQR, and median of Ralph’s new data set.

(e) Refer to (d). Calculate the mean of Ralph’s new data set.

STAT 101 Lecture Notes - Lecture 7: Normal Distribution, Cittern, Electronvolt

Document Summary

Get access

Related Documents

QMS 102 Lecture Notes - Lecture 6: Box Plot, Interquartile Range, Quartile

STATS 250 Lecture Notes - Lecture 2: Interquartile Range, Quartile, Box Plot

STAT 101 Chapter Notes - Chapter 2: Quartile, Interquartile Range, Box Plot

Related Questions