Question

for the stem-leaf system illustrated in the below diagram.

Find Maximum and minimum values and the Range.

For the stem -leaf diagram shown on the previous question find the mean, mode, and the median:

stems (ones)- leaves (tenths)

2 2,4,5,8

3 0,1,3

4 6,7

5 3,5,5

Answer #1

Minimum is the very first observation i,e, 22

and maximum is the very last observation 55

So range = 55-22 = 33

Median : Here there are 12 obervations . So. 6th and 7th observation will be median . So , 31 and 33 are median , or their arithmeatic mean = 32 can also be considered as median .

Note that only the value 55 is repeated twice , all other values come only once . SO, 55 has the highest frequency . So mode is 55 .

Note that stem andleaf diagram isnot very useful/helpful in calculationg mean .

Mean must be calcuated in trhe classical way :

mean =

= 37.41

2. Below is the stem-plot of an exam score: Stem-and-leaf of
First Exam N = 31
Stem Leaves
5 | 58
6 | 058
7 | 00235558
8 | 0001355557
9 | 00023338
Unit=1
a. 2pts. Find the median and mode
b. 1pt. Find the range of the data values.

From the following stem-and-leaf display, find the
1st quartile, the 2nd quartile (or median),
the 3rd quartile, the interquartile range, and interpret the
interquartile range result. What values will be considered
outliers?
1| 9
2| 0 1 2 2 6 9
3| 0 1 2 3 4 5 5 7 8 8 9
4| 2 6
5| 0 1 2 4 5 7 8 9
6| 5 9

Find the absolute maximum and minimum values on the closed
interval [-1,8] for the function below. If a maximum or minimum
value does not exist, enter NONE.
f(x) = 1 − x^2/3
Find the absolute maximum and absolute minimum values of the
function below. If an absolute maximum or minimum does not exist,
enter NONE.
f(x) = x3 - 12x on the
closed interval [-3,5]

1) Find the maximum and minimum values of the function
y = 13x3 +
13x2 − 13x on the
interval [−2, 2]
2)Find the minimum and maximum values of the function f(x) =
4 sin(x) cos(x) + 8 on the interval [0, pi/2]
3) Find the maximum and minimum values of the function y =
5 tan(x) − 10x on the interval [0, 1].
4)Find the maximum and minimum values of the function f(x) =
ln(x)/x [1, 4] on the...

Find the absolute minimum and maximum values of the function
f(?, ?) = 3?^2 + ?^2 − 4(x^2)? on the region −5 ≤ ? ≤ 5 and −5 ≤ ?
≤ 5.

Find the absolute maximum and minimum values of ?(?) = ? 4 − 8?
3 + 16? 2 + 4 on [1,5]

(a) Find the maximum and minimum values of f(x) = 3x 3 − x on
the closed interval [0, 1] by the following steps:
i. Observe that f(x) is a polynomial, so it is continuous on the
interval [0, 1].
ii. Compute the derivative f 0 (x), and show that it is equal to
0 at x = 1 3 and x = − 1 3 .
iii. Conclude that x = 1 3 is the only critical number in...

Find the absolute maximum and minimum values of f on
the set D.
f(x, y) =
4x + 6y −
x2 − y2 +
3,
D = {(x,
y) | 0 ≤ x ≤ 4, 0 ≤
y ≤ 5}
absolute maximum value
absolute minimum value

Here is a data set summarized as a stem-and-leaf plot:
3
00024677779
4
0003445677888899
5
04456
6
669
How many data values are in this data set? n=n=
What is the minimum value in the last class?
What is the minimum value in the entire sample?
How many of the original values are greater than 40?
The test scores for two algebra classes are shown in the Stem
and Leaf below.
Test Scores
Period 9
Period 10
9 8 2...

Some data from one experiment are given as below:
1, 1, 2, 3, 3, 4, 5, 5, 5, 7, 9
a) Find the median, mean and variance of the data. [4 marks]
b) Find the first, second, third quartiles and the Inter
Quartile Range (IQR), minimum and maximum values. [4 marks]
c) Draw the box-plot as stated in (b) above. [2 marks]

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