table.

Question

 
  Plant A Plant B Plant C Plant D Plant E Plant F  Plant G Plant H Plant I
Plant J
,begin bold,Growth,end bold,
(centimeters)
4
4
6
7
7
8
8
9
9
18

Question 1
,begin emphasis,Part A,end emphasis,
Which measure of center ,begin emphasis,most,end emphasis, accurately describes the growth of the plants over the month?
Question 1 Answer options with 2 options
A.
mean
B.
median
Question 2
,begin emphasis,Part B,end emphasis,
What is the value of the measure of center that ,begin emphasis,most,end emphasis, accurately describes the growth of the plants over the month?

Answer 1

To determine which measure of center most accurately describes the growth of the plants over the month, we need to consider the data provided:

Growth (centimeters): 4, 4, 6, 7, 7, 8, 8, 9, 9, 18

Question 1

Part A We need to evaluate both the mean and median:

1. Mean:

   • To calculate the mean, sum all the values and divide by the number of values:
   • Sum = 4 + 4 + 6 + 7 + 7 + 8 + 8 + 9 + 9 + 18 = 81
   • Number of values = 10
   • Mean = 81 / 10 = 8.1

2. Median:

   • To calculate the median, arrange the values in ascending order and find the middle value:
   • The ordered growth values: 4, 4, 6, 7, 7, 8, 8, 9, 9, 18
   • Since there are 10 values (even), the median will be the average of the 5th and 6th values:
   • Median = (7 + 8) / 2 = 7.5

Comparison:

• The mean (8.1) is influenced by the outlier (18), while the median (7.5) is more stable and less affected by extreme values.

Conclusion: The measure of center that most accurately describes the growth of the plants over the month is the median.

Answer: B. median

Question 2

Part B The value of the measure of center that most accurately describes the growth of the plants over the month (the median) is:

Answer: 7.5