A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points
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Answer:
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
Step-by-step explanation:
<u>Mean:-</u>
The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻
mean =
mean (x⁻ ) = 78.4
The mean of the given data = 78.4
<u>Median:</u>
The median is found by ordering the set from lowest to highest and finding the exact middle.
64 ,75, 80, 98
The middle term of the given data set =
<u>Mode :</u>
The mode is the most common repeated number in a data set.
64 ,75, 75, 80, 98
in data the most common number = 75
<u>Conclusion</u>:-
mean = 78.4
median = 77.5
mode = 75
This is Right - skewed (positive skewness) distribution
a) The given sequence is geometric.
b) The next term in the sequence is 486
c) The rule is:
The 20th week will be: a_{20}=6973568802
Step-by-step explanation:
The sequence 6, 18, 54, 162, … shows the number of push ups Kendall did each week, starting with her first week of exercising.
Part a) Is this an arithmetic or geometric sequence?
An arithmetic sequence is one, where difference between two consecutive terms is constant.
In the given sequence 6, 18, 54, 162,
18-6 = 12
54-18= 36
<u>The difference is not constant so, the sequence is not arithmetic.</u>
A geometric sequence is one, where ratio between two consecutive terms is constant.
In the given sequence 6, 18, 54, 162,
18/6 = 3
54/18 = 3
162/54 = 3
<u>The ratio is constant so, the sequence is geometric.</u>
The given sequence is geometric.
Part b) How can you find the next number in the sequence?
We can find next number in the sequence by using formula:
where a_n= nth term
a= first term
r= common ratio
The next term will be 5th term of the sequence.
Finding 5th term:
So, the next term in the sequence is 486
Part c) Give the rule you would use to find the 20th week. Find the 20th week
The rule used to find 20th week would be:
Here n=20
Finding 20th week