15.4k views
4 votes
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one moredecimal place than the largest number of decimal places given in the data.5, 10, 6,9.8, 4, 4,8, 9,35Copy DataAnswerHow to enter your answerTablesKeypadKeyboard ShortcutsRange:Population Variance:Population Standard Deviation:Submit Answer© 2020 Hawkes Learning

Calculate the range, population variance, and population standard deviation for the-example-1
User Vivien
by
5.2k points

1 Answer

1 vote

Data: 5, 10, 6, 9, 8, 4, 4, 8, 9, 35

Range: highest value - lowest value = 35 - 4 = 31

Mean: (5 + 10 + 6 + 9 + 8 + 4 + 4 + 8 + 9 + 35)/10 = 9.8

Standard deviation: √{ [(5-9.8)² + (10-9.8)² + (6-9.8)² + (9-9.8)² + (8-9.8)² + (4-9.8)² + (4-9.8)² + (8-9.8)² + (9-9.8)² + (35-9.8)²]/10} = √(747.6/10) = 8.6

Variance: (5-9.8)² + (10-9.8)² + (6-9.8)² + (9-9.8)² + (8-9.8)² + (4-9.8)² + (4-9.8)² + (8-9.8)² + (9-9.8)² + (35-9.8)²/(10 - 1) = 747.6/9 = 83.1

Calculate the range, population variance, and population standard deviation for the-example-1
User Quinestor
by
5.5k points