Question

Using measures of central tendency:

5. Write and solve an equation to find the value of "x". 3.8, 4.2, 5.3,x; mean 112
7. Write and solve an equation to find the value of "x". 100, 121, 105, 113, 108, x; mean 112
9. Find the range. 12, 15, 17, 28, 30
11. Find the range. -12, -15, 5, 3, -2, 0, -7
13. For each list of data, find the range and the mean. Use the range to compare the spread of the data.
List 1: 64, 43, 55, 28, 71. List 2: 48, 53, 61, 47, 51

Answer 1

Explanation:

5)

Mean, 112= (3.8+4.2.5.3+x)/4

448 =13.3 +x

x = 448-13.3=434.7

7)

Mean, 112= (100+ 121+ 105+ 113+108 +x)/5

560 =547 +x

x = 560-547=13

9) 12, 15, 17, 28, 30

Range = highest - lowest =30-12

=18

11) -12, -15, 5, 3, -2, 0, -7

Range = highest - lowest =5--15

=20

64, 43, 55, 28, 71

Mean = (64+43+55+ 28+ 71)/5

=52.2

Range =71-28=43

8, 53, 61, 47, 51

Mean = (8+53+61+ 47+ 51)/5

=220/5= 44

Range =61-8=53

Spread = 53-43=10