Question

Nadiya collected all the scores in her class

6, 7, 7, 7, 8, 8, 8, 8, 9, 10, 10, 11,

11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 14, 15

What is the mode?

What is the 70th percentile?

What is the 3rd decile?

Create a box and whiskers plot of the set of scores.

Answer #1

Sol:

here n=24

mode is most repeating value

Highest frequency=7

11 repeats 7 times

mode=11

What is the 70th percentile?

70th percentile=70/100*24=16.8=17th item after data arranged in sorting order

sorting order

6 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 12 13 13 13 14 15

17 th item=11

so 70th percentile=11

3 r decile=3/10*24=7.2=7.2th item

3 rd decile after sorting is

6 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 11 12 13 13 13 14 15

3 rd decile=8

to create a boxplot

use below r code

scores <- c(6, 7, 7, 7, 8, 8, 8, 8, 9, 10, 10, 11,

11, 11, 11, 11, 11, 11, 12, 13, 13, 13, 14, 15)

boxplot(scores,main="boxplot",horizontal=TRUE,col="green")

Fivenumber summary from boxplot is

minimum=6.0

Q1= 8.0

Q2=median=11.0

Q3=11.5

maximum=15.0

the following are the scores of 25 students who
participated in a psychology experiment. The scores represent the
number of trials required to complete a memorization
test.
12, 10, 12, 11, 6, 15, 14, 17, 9, 12, 13, 8, 7, 15, 14, 15, 18,
19, 14, 10, 14, 14, 16, 8, 9
Based on these data, the z score for generated for a
person with a raw score of 6 is___ and their percentile
is___

6. Using the class data (see Blackboard file - "Class Survey
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the results in a statistical statement.
7. Using the class data calculate the correlation between the
GAS – Goal disengagement and the PSS-10 scores. Write the results
in a statistical statement.
8. Using the class data calculate the correlation between the
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Nadiya’s statistics class had their first quiz. She collected a
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are
7, 8, 8, 10, 11, 11, 12, 12
What is the mean score?
What is the range of scores?
What is the median score?
What are the variance and standard deviation of the scores?

The lengths of stay of 20 patients hospitalized with a digestive
dis- order are as follows: 10, 4, 5, 8, 5, 7, 9, 11, 4, 3, 6, 9, 8,
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hospitalized with coro- nary heart disease are as follows: 11, 13,
16, 12, 5, 8, 9, 5, 6, 7, 4, 8, 9, 7, 8
Use Excel to find the mean, the mode, the median, the standard...

Let
U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
A = {5, 7, 9, 11, 13},
B = {6, 8, 10, 12, 14},
and
C = {5, 6, 8, 9, 12, 13}.
List the elements of each set. (Enter your answers using roster
notation. Enter EMPTY or ∅ for the empty set.)
(a) Ac ∩ (B
∩ C c)
(b) (A ∪ Bc) ∪
(B ∩ C c)
(c) (A ∪
B)c ∩
C c

15 students received the following scores on a quiz. 6, 7, 2,
10, 8, 6, 7, 3, 9, 5, 5, 8, 9, 8, 4
1. What is the cumulative frequency for students who scored
6?
2. How many students scored between 7 and 10?
3. What is the cumulative percentage for students who scored
9?
4. A student who received a score of 7 would be at what
percentile? (approximately)

Compute each of the following probabilities. Label each problem
clearly and show all your work. Use the numbers you computed in
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Problem 1: Suppose all of the Skittles in the class data set
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Indices DUR DUR (OLD)
1 6 11
2 13 14
3 11 14
4 7 10
5 9 9
6 7 10
7 8 11
8 5 8
9 7 6
10 7 10
11 7 13
12 3 5
13 10 13
14 3 15
15 4 12
16 9 7
17 9 8
18 10 13
19 6 10
20 8 14
21 10 14
22 8 18
23 2 10
24 4 11
25 7 16
26 ...

Body Fat %
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13
10
7
8
15
8
5
12
12
11
9
15
6
10
6
7
20
9
9
11
5
13
11
14
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...

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c. Describe the distribution using the following
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(1) What is the shape of the distribution?
(2) What score best identifies the center (average)
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