1. What data are represented by the stem-and-leaf plot below?
3 | 7 8 9
4 | 1 3 7
5 | 2 4
Key: 4 | 1 means 41
a. 37, 38, 39, 41, 43, 47, 52, 54***
b. 73, 83, 93, 14, 34, 74, 25, 45
c. 7, 8, 9, 1, 3, 7, 2, 4
d. 37, 38, 39, 14, 34, 74, 25, 45
2. Find the mode and the median of the data in the stem-and-leaf plot below.
5 | 4 4 8
6 | 0 3 5
7 | 3 4 6
8 | 2 5
9 | 7 8
Key: 6 | 3 means 63
a. no mode; 73
b. 63; 73.5
c. 54; 73***
d. no mode; 73.5
looks good to me
Thanks Steve :)
1. To identify the data represented by the stem-and-leaf plot, we need to look at the numbers listed under each stem. In this case, the stems are 3, 4, and 5. Under the stem 3, we have the leaves 7, 8, and 9. Under the stem 4, we have the leaves 1, 3, and 7. Under the stem 5, we have the leaves 2 and 4.
To combine the stems and leaves into actual numbers, we pair each leaf with its respective stem. For example, 3|7 means 37, 3|8 means 38, 3|9 means 39, 4|1 means 41, 4|3 means 43, 4|7 means 47, 5|2 means 52, and 5|4 means 54.
By combining all these numbers, we get the following data: 37, 38, 39, 41, 43, 47, 52, and 54.
Therefore, the correct answer is a. 37, 38, 39, 41, 43, 47, 52, 54.
2. To find the mode and median of the data in the stem-and-leaf plot, we need to arrange the numbers in ascending order.
The numbers listed in the plot are: 44, 48, 60, 63, 65, 73, 74, 84, 97, and 98.
To find the mode, we look for the number that appears most frequently. In this case, the number 73 appears twice, which is more than any other number. Therefore, the mode is 73.
To find the median, we need to find the middle value of the data set. Since we have a total of 10 numbers, the median will be the average of the two middle values, which in this case are 65 and 73. Adding them together and dividing by 2 gives us 68.
Therefore, the correct answer is c. Mode: 73, Median: 68.