a set of four numbers that begins with the number 32 is arranged from smallest to largest. If the mean is 35 which of the following could possibly be tge set of numbers?
Answers
Answer:
32, 35, 35 36
35 + 35 = 70
70 ÷ 2 =35
Step-by-step explanation:
Concept:
The three measurements of central tendency are the Mean, Median, and Mode. The mean of a set of data is its arithmetic average. This is calculated by averaging a data set's numbers and dividing the result by the set's total number of observations. When numbers are arranged in either ascending or descending order, the median is the value in the middle of the data set. The gap between the highest and lowest values in a data collection is known as the range, while the most frequent value in a data set is known as the mode.
Given:
A set of four numbers that begins with the number 32 is arranged from smallest to largest. If the mean is 35
Find:
Which of the following could possibly be tge set of numbers?
Solution:
Mean = (x₁+x₂+x₃+x₄)/4
where,xₙ>=32
(x₁+x₂)/2 = 32
x₁+x₄ = 70
x₂ = 70-32
= 38
Similary, (x₂+x₃)/2= 35
x₃+x₂ = 70
Let x₂ = 33
x₃ = 37
Therefore one of the possibility can be these numbers, 32, 33, 37,38
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