Types of Data & Scales of Measure
What type of data describes characteristics or qualities such as, color or flavor?
qualitative data (categorical)
In a frequency table, this column adds up all previous frequencies. What is this called?
Cumulative Frequency
The middle number in an ordered data set is called the__.
Median
The difference between the highest and lowest values in a dataset is called__.
Range
The measure that tells how spread out data is from the mean is called__.
Standard deviation
This data can be measured and expressed numerically
quantitative data (Numerical)
You divide the frequency of a value by the total number of values to get this.
Relative Frequency
The value you get when you add all the numbers in a data set and divide by how many there are is called__.
Mean
When subtracting Q3 and Q1 this measure is called___.
Interquartile range. (IQR)
The step before squaring your standard deviation is called__.
Variance
In this scale, 0 means “none,” and you can multiply or divide the values.
Ratio
Create a frequency table that includes only tally and frequency with the following data:
Dataset (number of siblings):
0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 6, 7, 8, 9, 9, 10
Classes:
0-2
3-5
6-8
9-11
frequency:
7
7
3
3
This measure of center is most useful when a data set contains an extreme outlier.
Median
Find the range: 4, 7, 10, 12, 15
Range= 11 (15-4=11)
Find the ∑(x2) and the (∑x)2 for the following data:
12,13,13,15,17
144 169 225
∑(x2): 827
(∑x)2: 4,900
Which scale os measurement is the following
Customer satisfaction rated as: Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied.
Ordinal
Create a frequency distribution table with follow data. include the tally, frequency AND cumulative frequency
Dataset (Gaming Hours/Month):
2, 4, 6, 8, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 68, 72, 75, 80, 85, 90, 95, 100, 105, 110, 115
0 – 29
30 – 59
60 – 89
90 – 119
frequency: Cumulative frequency:
8 8
7 15
5 20
6 21
Find the mean of this data set:
4, 6, 8, 10, 12, 14
mean= 9
Data: 2, 4, 6, 8, 10. Find the range and IQR.
Range = 8; IQR = 4
Solve the population standard deviation with the following data:
5, 6, 7, 8, 10
Population standard deviation: 1.72
This scale has equal intervals between values but no true zero point, like temperature in Fahrenheit.
Interval
Create a frequency distribution table include with the following data, include tally, frequency, cumulative frequency, and relative frequency.
Dataset (Fruits per Week):
2, 3, 3, 4, 5, 6, 6, 7, 8, 9
classes:
2-3
4-5
6-7
8-9
10-11
Frequency: Relative Frequency:
3/10 = 0.30
2/10 = 0.20
3/10 = 0.30
2/10 = 0.20
0/10 = 0.00
Find the median: 10, 13, 14, 18, 21, 25
median= 16 (14+18/2)
For the following data set, find the range, interquartile range, AND semi-interquartile range:
8, 10, 12, 14, 16, 18, 20, 22, 24
Range= 16; IQR= 10; Semi IQR- 5
Solve the sample standard deviation with the following data:
5, 6, 7, 8, 10
Sample standard deviation: 1.9235