Math question too tough for me, for every math question, i have to ask
2 answers:
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Answer:
a) Mean = $121
Sum of deviations = $0
b) Standard deviation = 41.19
Variance = 1696.67
Range = $120
Step-by-step explanation:
We are given the following data:
$91 , $176 , $108 , $115 , $56 , $157 , $144
a) Mean and sum of deviations
Sum of deviations =
-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0
The sum of deviations is zero dollars.
b) range, variance, and standard deviation
where are data points,
is the mean and n is the number of observations.
Sum of square of differences =
900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180
Sorted data: 56, 91, 108, 115, 144, 157, 176
Range = Maximum - Minimum
Range = 176 - 56 = 120
Answer:
Five classes
Step-by-step explanation:
1. Sort the data
You get
1.1, 1.3, 1.6, 1.7, 2, 2.6, 2.7, 2.9, 3.2, 3.2, 3.5, 3.5, 3.9, 4.6, 4.7, 4.8, 4.8, 4.9, 4.9, 5.3, 5.7, 6.4, 6.5, 7.1, 7.5, 7.6, 8.1, 8.2, 9.2, 9.4
2. Calculate the range
Range = Max - Min = 9.4 - 1.1 = 8.3
3. Calculate the class width
Divide the range by the number of classes
8.3/5 = 1.7
Round this up to 2.
4. Decide where to start the histogram
You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11
However, even numbers are easier to read.
It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10
5. Prepare a frequency distribution table
Note: Each class does not include its largest possible value. Thus, a value of 2 goes into Class 2 - 4, (not Class 0 - 2).