What is the range of the data in this stem-and-leaf plot? 2 14 19 32.5 stem and leaf plot. vertical line separates each stem from its first leaf. first row. stem 2. leaves 6, 7, 7. second row. stem 3. leaves 0, 2, 3, 3, 4. third row. stem 4. leaves 0, 5. key. 3 vertical line 0 equals 30.
2 | 6, 7, 7
3 | 0, 2, 3, 3, 4.
4 | 0, 5
To Find: What is the range of the data in this stem-and-leaf plot?
Since we are given key 3 vertical line 0 equals 30.
So, in the given stem leaf plot the number are :
Now Range = maximum number - minimum number
Range = 45-26
Range = 19
Hence The range of the data in this stem-and-leaf plot is 19
According to the given stem-and-leaf plot,
The given observation are, 26, 27, 27, 30, 32, 33, 33, 34, 40, 45
Where, in each observation, the first digit represents the stem and second digit represents the leaf.
Since, the range of data = Maximum value of observation - minimum value of observation,
= 45 - 26
Thus, Option C is correct.
The answer is 32.5
Stem and Leaf Plots
It is a special table where each data value is split into a stem (the first digit or digits) and a leaf (usually the last digit).
So, in the given plot
the first stem 2 has leafs = 6,7,7
So, the numbers will be 26,27,27
So, in this way we can write the stem leaf plot data in normal data form
Now to calculate range
Range = Highest number - lowest number
The first stem 2 and its first leaf 6 . So,number = 26 is the lowest number
The third stem 4 and its last leaf 5 . So, number = 45 is the highest number
Thus Range = 45-26=19
Hence the range of data is 19
Mean= Add every number up then divide by how many numbers there are
Median= It has an even number in total when ordered from least to greatest. So take the two middle numbers together and divide them by 2.
Mode= The number that occurs more often
Range= The difference between the highest and the lowest number.
Greatest and lowest value= the highest and lowest number in a data set.
The median is 31.5
The mode is 39
The range is 31
The median is the middle number of arranged data from small to big in a set of data
The mode is the most repeated number in a set of data
The range is the difference between the greatest and the smallest numbers in a set of data
The data from stem-and-leaf plot are
11, 11, 12, 22, 22, 25, 27, 27, 36, 39, 39, 39, 39, 40, 42, 42
∵ There are 16 data
- There is no one middle number because the number of the
data is even, so the median will be the average of the
two middle numbers
∵ 16 ÷ 2 = 8
∴ The middle numbers are the 8th and the 9th numbers because
there are 7 numbers before them and seven numbers after them
∵ The 8th number = 27
∵ The 9th number = 36
∴ The median =
∴ The median = 31.5
∵ The mode is the most repeated number
∵ 39 is repeated 5 times and no other number repeated more
than 5 times
∴ The mode is 39
∵ The range = Greatest number - Smallest number
∵ The greatest number is 42
∵ The smallest number is 11
∴ The range = 42 - 11
∴ The range = 31