Statistical Question or NA?
What is the value of 2 x 3?
Not Statistical!
Only has 1 correct answer.
Data Set: 3 8 5 2 1
What is the median of my data?
Answer: 3
Order Data First
1 2 3 5 8 --> Middle Number--> 3.
Data Set: 6,7,2,1,2,2,4,1,2,5
What is the mode in the data set?
Answer: 2
Order --> 1,1,2,2,2,2,4,5,6,7
Mode = number the shows up the most --> 2 in this data
Statistical questions only have one answer.
TRUE OR FALSE
FALSE.
Statistical questions have various answers.
When there is an outlier in a set of data, what measurement of variability do you use?
Answer: IQR
Outlier --> Median -->
Measurement of variability = IQR
How many siblings do you have?
No!
It only asks one person! (you)
Data set: 15,28,13,15,13,7,10
What is the first quartile of this set of data?
Answer: 10
Order from Least to Greatest:7,10,13,13,15,15,28
Middle in the 1st half of Data (7,10,13)-->10
What is the range of the following data set:
7,5,6,3,2,2,4,6,8,10
Order --> 2,2,3,4,5,6,6,7,8,10
Range = Largest Number (10) - Smallest Number (2) = 8
When finding the mean of a data set, I need to find the sum of all the numbers and divide by the amount of number in the data set.
TRUE OR FALSE
TRUE
Mean = Sum/# of numbers in the data set
The data set has a third quartile value of 10 and a first quartile value of 4.5. What is the IQR?
Answer: 5.5
IQR = Q3 - Q1
10 - 4.5 = 5.5
What is the area of a square with a side length of 4 ins?
Extra 100 if you can tell me the area of that the square!
NO!
Only one correct answer!
AREA = 4 x 4 --> 16in sqaured
Data Set: 40,34,67,60,20,24,75
What is the value of Q3?
Answer: 67
Order --> 20,24,34,40,60,67,75
Middle in the 2nd half of Data (60,67,75)--> 67
Data Set: 8,12,15,20,25
What is the mean of the data?
Answer: 16
Add all the numbers up and then divide by the total amount of numbers you added up
8 + 12 + 15 + 20 +25 = 80
80 / 5 = 16
Data with an outlier, I should use the mean to find the best center.
TRUE OR FALSE
FALSE
If there is an outlier, you should use median or the middle data point as the center.
What is the MAD on the following data set:
4,6,11,14,15
Answer: 4
Mean = 10
AD (distance away from mean): 6,4,1,4,5
MAD Find mean --> 6+4+1+4+5 / 5 = 4
What color phone is in your pocket?
No!
There is only one correct answer!
Data Set: 85,83,76,60
What is the median of this data?
Answer: 79.5
Order --> 60,76,83,85
Two Middle Numbers-->76,84
Find Average of numbers for median
76 + 83 = 159 divided by 2 = 79.5
What is the mean of this data set?
7,5,2,3,4,5,6,1,8,3
Answer:4.4
Add all the numbers up and then divide by the total amount of numbers you added up
Sum = 44 divide by 10 = 4.4
If there is no outlier in the set of data, then I should use MAD (mean absolute deviation) to find out the variability of the data set.
TRUE OR FALSE
TRUE
Since there is no outlier, we use mean.
With the mean, we then use MAD (MEAN absolute deviation) to find out the variability.
What is the MAD in the following data set:
79 40 50 78 60 60 45 68
Answer: 11.25
Mean = 60
AD (distance away from mean): 19,20,10,18,0,0,15,8
MAD Find mean --> 19+20+10+18+0+0+15+8 /8 = 11.25
Give me an example of a statistical question!
Example must have a variety of answers. We should be able to collect the data.
Data Set: 78,36,45,24,80,65,15
What is the IQR (interquartile range)
Answer:
Order --> 15,24,36,45,65,78,80
Q1:24 middle number in first half of data (15,24,36)
Q2:78 middle number in first half of data (65,78,80)
IQR = Q3 - Q1 = 78 - 24 = 54
Data set: 5,6,2,6,4,5,6,8,8,13
What is the range, mode and mean of the data set?
Answers:
Order --> 2,4,5,5,6,6,6,8,8,13
Range:Largest Number(13) - Smallest Number(2) =11
Mode: Number the most frequent --> 6 (3 times)
Mean = Sum of numbers/amount of numbers = 63/10 --> 6.3
When comparing box plots (box and whisker plots), the smaller the box and IQR the more consistent the data is.
TRUE OR FALSE
TRUE
The smaller the IQR the less variability in the data.
The smaller box means smaller IQR value!
For this data set, what is the best choice of variability? Then find that measurement.
Data set: 80,82,54,56,60,68,74,58
Answer: Best choice: MAD --> no outlier
MAD value: 9.75
Mean 66.5
AD (distance away) 13.5, 15.5, 12.5, 10.5,6.5, 3.5, 7.5, 8.5
MAD: sum of all the distance/ amount of distances
= 9.75