Question

day 4 24 jamilla recorded the change in her dogs weight in pounds each week for 5 weeks. the table shows her data. weight change week 1 2 3 4 5 change (pounds) 0.3 - 0.86 1.02 - 1/4 0.18 which list shows the data in order from least to greatest? a - 0.86 - 1/4 0.18 0.3 1.02 b - 1/4 - 0.86 0.18 0.3 1.02 c 0.18 - 1/4 0.3 - 0.86 1.02 d 0.3 - 0.86 - 1/4 0.18 1.02 use the data set listed to find the following values 6, 10, 4, 16, 8, 6, 12, 14 25 mean = 26 median = 27 mode = 28 range =

Explanation:

Step1: Convert -1/4 to decimal

$- \frac{1}{4}=-0.25$

Step2: Compare negative numbers

Since $|-0.86| = 0.86$ and $|-0.25|=0.25$, and $0.86>0.25$, then $- 0.86<-0.25$

Step3: Compare all numbers

The order from least to greatest is $-0.86,-\frac{1}{4},0.18,0.3,1.02$

Step1: Calculate the mean

The mean $\bar{x}=\frac{6 + 10+4+16+8+6+12+14}{8}=\frac{76}{8} = 9.5$

Step2: Arrange data in ascending order

$4,6,6,8,10,12,14,16$

Step3: Calculate the median

Since there are 8 data - points, the median is the average of the 4th and 5th values. So, median $=\frac{8 + 10}{2}=9$

Step4: Find the mode

The mode is the number that appears most frequently. Here, 6 appears twice, so mode = 6

Step5: Calculate the range

The range is the difference between the largest and the smallest values. Range $=16 - 4=12$

Answer:

A. $-0.86,-\frac{1}{4},0.18,0.3,1.02$