Question

88 multiple choice a shoelace company makes shoelaces of differing lengths. the production team is ordered to increase the length of every shoelace they make by 3 centimeters. which statement about the lengths of the shoelaces the company will produce after the change is true? remember: adding same number to every value in a data set increases the measures of center for the data set by the same value. the measures of dispersion are unchanged. a the average length of the shoelaces produced will increase by 6 centimeters. b the range of lengths of the shoelaces produced will increase by 3 centimeters. c the median length of the shoelaces produced will increase by 3 centimeters.

Explanation:

Step1: Recall measure - of - center property

Adding the same number to each data - point increases measures of center (mean, median) by that number. Here, 3 cm is added to each shoelace length.

Step2: Analyze each option

• Option A: Since 3 cm is added to each length, the average (mean) should increase by 3 cm, not 6 cm.
• Option B: The range is a measure of dispersion. Adding the same number to each data - point does not change the range.
• Option C: Since the median is a measure of center, when 3 cm is added to each shoelace length, the median length will increase by 3 cm.

Answer:

C. The median length of the shoelaces produced will increase by 3 centimeters.