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Dispersion
Yourrr' Out
Measure That!
100
What is a box plot and what does it show you?
The box plot is a standardized way of displaying the distribution of data. It shows the five number summary which is lowest value, first quartile, median, third quartile, and greatest value. the box plot can also show you the IQR.
100
What is on the X and Y axis on a histogram?
X axis is frequency Y axis is range of values
100
What are all the measures of dispersion?
variance, standard deviation and interquartile range
100
What is an outlier?
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
100
What are the measures of central tendency?
mean, mode and median,
200
Twenty people were randomly selected from a very large mall . They were asked to keep a record for a week of the number of hours they slept each night. These seven values were averaged to obtain an average night of sleep for each. The results are as follows: 9, 8, 8, 7.5, 6, 6, 4, 5.5, 7, 8, 5, 7.5, 6.5, 10, 8.5, 6.5, 5, 5.5, 7, and 7.5 hours. Create a dotplot of these data and explain what the display says about the data.
1 dot on 4, 2 dot on 5, 2 dot on 5.5, 2 dot on 6, 2 dot on 6.5, 2 dot on 7, 3 dot on 7.5, 3 dot on 8, 1 dot on 8.5, 1 dot on 9, 1 dot on 10, The average hours of sleep ranged from 4-9 hours. Most students got at least 7.5-8 hours of sleep.
200
When is the mean greater than the median in a histogram?
skewed to the right / positive skew
200
Find the standard deviation of the following data. 0.01, 4.32, 8.97, 7.83, 2.77, 6.14, 0.12, 1.27, 69.96, 4.61 (round to the nearest tenth)
σx= 20
200
What is the outlier in the data? 222, 121, 212, 242, 225, 209, 277, 237
121
200
What is the most common measure of central tendency? and why?
Mean, It can be used with both discrete and continuous data and because all you have to do is add all the numbers and divide by how many numbers there are.
300
Given the following data, create a box and whisker plot and identify the five summary points. 56, 32, 54, 34, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43
Lowest Value - 12 Lower Quartile - 23.5 Median - 33 Upper Quartile - 46 Greatest Value - 67
300
what is a histogram? .A. standardized way of displaying the distribution of data .B. rate at which something occurs or is repeated over a particular period of time .C. a graphical display of data using bars of different heights .D. diagram in which the numerical values of variables are represented by the height or length
C. a graphical display of data using bars of different heights
300
Find the IQR of the following data. 4,8,13,16,19,20,21,21,22,13,16,18,20,22,26,28,33
IQR= 4.5
300
Given the following data: 164, 175, 126, 135, 159, 143, 55 What effect will the outlier have on the mean of the data if the outlier was excluded?
The mean including the outlier 136.71 The mean excluding the outlier 128.86
300
The weekly salaries of six employees at McDonalds are $140, $220, $90, $180, $140, $200. For these six salaries, find: the mean, the median, the mode
Mean- 161.666666666 (bar notation over the 6) Median- 160 Mode- 140
400
The following numbers represents the test scores students earned on a Spanish quiz: 4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4, 6.2, 8.6, 2.8, 2.5 ,7.7, 0.9 What is the median of the given data? A. 4.4 B. 4.45 C. 4.2 D. 4.3
B. 4.45
400
When is the best time to use a histogram instead of a box plot or dot plot?
Answers will vary; useful when you have numerical data that varies, when you want to tell how many items are in each numerical category (frequency histogram) or compare each class interval to the total number of items (relative frequency histogram)
400
How do you find standard deviation on a TI-84 calculator? list all possible steps. (no calculator usage)
1.) Click on Stat button 2.) Click on Edit 3.) Enter any numbers you need the standard deviation of on L1 (press enter between each entry) 4.) Click on Stat button again 5.) Move cursor to Calc 6.) Enter 1-Var Stat, press enter 7.) Click enter until you get to Calculate 8.) See results. the standard deviation sign. -> σx
400
How does the outlier affects the mean of the set of data?
An outlier pulls the mean toward it. or The mean can either increase or decrease dramatically depending on whether the outlier is greater or less than the rest of the numbers.
400
The price list for computers shown in a magazine advertisement was $478, $899, $1295, $1075, $1597, $398 and $1800. Find the mean, median, and mode
Mean- 1077.43 Median-1075 Mode- N/A
500
When using a dot plot, what does the height of the column represent?
Relative or Absolute frequency of observations in the category
500
When discussing a histogram, what does "bin width" mean? A. The average number of scores falling into each interval B. The size of each class interval. C. The range of scores after allowing for some "padding." D.The degree to which the distribution shown by the histogram is skewed
B. The size of each class interval
500
Define variance Define standard deviation Define interquartile range
Variance- one of several descriptors of a probability distribution. Standard Deviation- a quantity calculated to indicate the extent of deviation for a group as a whole. Interquartile Range- measure of where the “middle fifty” is in a data set. range between the 1st and 3rd quartile.
500
what equation is used to find an outlier below the IQR? what equation is used to find an outlier above the IQR?
Q1-(1.5*IQR) Q3+(1.5*IQR)
500
Define Mean Define Median Define Mode
Mean- the average of the numbers: a calculated "central" value of a set of numbers. Median- The middle number (in a sorted list of numbers). Mode- The number which appears most often in a set of numbers.