Select all the statements that describe the following set of numbers.
2 answers:
Answer:
Step-by-step explanation:
The set of numbers is:
3,9,8,6,3,4,9,2,5,10,8,1
Arranging this set of numbers in the ascending order, we have
1,2,3,3,4,5,6,8,8,9,9,10
The mode is the number which occurs frequently in the set, therefore 3, 8 and 9 are the frequently occurring numbers in the given set, hence there are three modes in total.
The median is the middle number in the given data, since the numbers are even in nature, therefore the median will be the mean of the middle numbers that is:
Median==
=
Thus,the median is the mean of 5 and 6.
Mean=
=
=
Thus, mean is greater than the median.
Hence, The given set has three modes, the median is the mean of 5 and 6 and the mean is approximately 5.67.
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Answer:
First number: -39
Second number: -37
Step-by-step explanation:
An odd number can be written as where n is a whole number.
Let's call our first number 2n+1.
Our second, consecutive number will be 2 more than our first number, since it has to be odd. All numbers go: odd -> even -> odd -> even. If we have an odd number, and add 2, we'll get the next odd number.
First number: 2n+1
Second number: 2n+1+2 = 2n+3
The sum of these two numbers, 2n+1 and 2n+3 will be -76.
(2n+1) + (2n+3) = -76
2n + 2n + 1 + 3 = -76
4n + 4 = -76
4n = -80
n = -20
Since our first number is 2n+1:
2 * (-20) + 1 = -40 + 1 = -39
First number: -39
Our second number is 2n+3, or 2 more than our first number.
-39 + 2 = -37
Second number: -37
We can double check this:
-39 + (-37) = -39 - 37 = -76