Question

HELP PLS ASAP!!

A set of data is represented in the stem plot below.

Stem plot with stems of 3, 4, 5, 6, 7, 8, 9. Leaf for stem of 3 is 2. Leaves for stem of 4 are 1, 3, 3, 7, 9. Leaves for stem of 5 are 5, 7. Leaves for stem of 6 are 2, 6. Leaf for stem of 7 is 1. Leaf for stem of 8 is 2. Leaf for stem of 9 is 3.

Key: 3 | 2 = 32

Part A: Find the mean of the data. Show each step of work. (2 points)

Part B: Find the median of the data. Explain how you determined the median. (2 points)

Part C: Find the mode of the data. Explain how you determined the mode. (2 points)

Part D: Compare your values for mean, median, and mode from parts A, B, and C. Which value would best represent the data, and why? Explain using complete sentences. (4 points)

Answer 1

Part A: To find the mean of the data, we need to calculate the sum of all the values and divide it by the total number of values. Let's add up the values:

32, 41, 43, 47, 49, 55, 57, 62, 66, 71, 82, 93

Sum = 32 + 41 + 43 + 47 + 49 + 55 + 57 + 62 + 66 + 71 + 82 + 93=738
Now, divide the sum by the total number of values to find the mean.738/12=61.1

Part B: To find the median, we need to arrange the values in ascending order and find the middle value. If there is an even number of values, we take the average of the two middle values. 57+55=112/2=56

Part C: The mode is the value that appears most frequently in the data set.

Part D: To determine which value best represents the data, we need to consider the characteristics of each measure. The mean is affected by extreme values, while the median is not. The mode represents the most common value. Depending on the distribution of the data, either the mean, median, or mode could be the best representation. We need to analyze the data further to make a conclusion.

Please let me know if you need assistance with the calculations or any further explanation!

Answer 2

Part A: The mean of the data is 32+41+43+43+47+49+55+57+62+66+71+82+93=741.Then we would do 741/13=57

Part B: The median of the data is 32,41,43,43,47,49,55,57,62,66,71,82,93 so in this case, that would be 55.

Part C: The mode of the data that is repeating the most, so that would be 43.

Part D: Mean is the best to represent the data because it shows the average of the whole data, which is the most useful part.

(hope this helped :)