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UJUZI PM Homework: HW 6: Measures of Central Tendency Save Score: 0 of 1 pt 15 of 24 (14 complete) HW Score: 56.17%, 15.17 of 27 pts HW 6- 2.3.31 Assigned Media Question Help The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why 034 1 1569 2 355 88 89 3123335 678 403689 55 Key: 3 0 = 30 Incore Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The mean is (Round to one decimal place as needed.) OB. The mean cannot be calculated because the sample size is too small. OC. The mean cannot be calculated because there is an even number of data entries D. The mean cannot be calculated because the data are at the nominal level of measurement Click to select and enter your answer(s) and then click Check Answer Clear All 5 pants remaining

Answer 1

Mean, median and mode using a Stem and Leaf Plot

Reading the Stem and Leaf Plot

We know that the stem numbers indicate tens

Mean

It is the average of all the data. We have to add all the data and divide by the number of data there is. We first add each row, we multiply the number indicated in the stem by the addition of the numbers of the leaf

`\begin{gathered} (3+4)=7 \\ 10(1+5+6+9)=10\cdot21=210 \\ 20(3+5+5+8+8+8+9)=20\cdot46=920 \\ 30(1+2+3+3+3+5+6+7+8)=30\cdot38=1140 \\ 40(0+3+6+8+9)40\cdot26=1040 \\ 50(5)=250 \end{gathered}`

Now we add all the results:

`7+210+920+1140+1040+250=3567`

The number of data is 28, then we divide the result of the sum by 28:

`(3567)/(28)=127.4`

Answer- the mean is 127.4

Median

Since we have 28 as the total number of data, we want to find the data at the center.

28/2 = 14

In this case, since 28 is even we will find the 14th and 15th numbers. So we count.

We have this data is at the row of 3, the first and second number. Then these data is

31 and 32.

We find their average:

`(31+32)/(2)=(63)/(2)=31.5`

Answer- the median is 31.5

Mode

We want to find those data that appear the most. We are going to look each row to the most repetitive numbers.

We have three times 8 in the 2's row and three times 3 in the 3's row.

Then, we have two modes: 28 and 33

Answer- the modes are 28 and 33