Mean Mode
.docx
School
St. John's University**We aren't endorsed by this school
Course
STATISTICS 133
Subject
Statistics
Date
Dec 19, 2024
Pages
2
Uploaded by CountSandpiperMaster811
Statistics Question: Mean, Median, and ModeGiven the following set of numbers, calculate the mean, median, and mode:5, 8, 10, 10, 12, 14, 18Solution1. MeanThe meanis the average of the numbers. To find the mean:●Add all the numbers together.●Divide the sum by the total number of numbers.Mean=5+8+10+10+12+14+187\text{Mean} = \frac{5 + 8 + 10 + 10 + 12 + 14 + 18}{7} Mean=777=11\text{Mean} = \frac{77}{7} = 11So, the meanis 11.2. MedianThe medianis the middle number when the numbers are ordered from least to greatest. If thereis an odd number of numbers, the median is the middle one. If there is an even number of numbers, the median is the average of the two middle numbers.Ordered numbers: 5, 8, 10, 10, 12, 14, 18Since there are 7 numbers (an odd number), the medianis the middle number, which is the 4th number:Median=10\text{Median} = 10So, the medianis 10.3. ModeThe modeis the number that appears most frequently.From the list, the number 10appears twice, while all other numbers appear only once.Mode=10\text{Mode} = 10
So, the modeis 10.SummaryFor the data set 5, 8, 10, 10, 12, 14, 18:●Mean= 11●Median= 10●Mode= 10