Question

Which two sets of four numbers have the same mean but different standard deviation? 3,2,6,1 and 1,6,2,3

3,2,6,1 and 0,2,3,7

1,2,3,4 and 0,3,0,6

1,1,1,1 and 3,3,3,3

Answer #1

Ans:2)data set

mean same and s.d is different in two data set.

given that,

1)3,1.87

3,1.87

2)3,1.87

3,2.55

3)2.5,1.12

2.25,2.49

4)1,0

3,0

suppose you have two different sets of data. although they both
have the same mean, their normal distribution or bell curve looks
completely different. why?

Which of the following is true?
Data sets with the same mean and the same standard deviation
must have the same shape.
The mean is less affected by extreme observations than the
median.
Chebyshev's Rule gives us an idea what proportion of the data
set will fall within certain bounds, regardless of the shape of the
distribution.
i. only
ii. only
iii. only
i. and iii.
None of the above.

Calculate the mean and the (sample) standard deviation of the
four numbers: 2, 3, 6, 9
1
(a) Two numbers, a and b, are to be added to this set of four
numbers, such that the mean is increased by 1 and the (sample)
standard deviation is increased by 2.5. Find the values of a and
b.
I want to the values of a and b

12. If two groups of numbers have the same mean, then
a. their standard deviations must also be equal
b. their modes must also be equal
c. their medians must also be equal
d. None of the alternatives is correct

make up there data sets (3 variables) with 5 Numbers each that
have:
c. The Same variance but different ranges.

You have been asked to determine if two different production
processes have different mean numbers of units produced per hour.
Process 1 has a mean defined µ1 and process 2 has a mean defined as
µ2 . the null and alternative hypotheses are as follows:
H0 = µ1- µ2 = 0
H1 = µ1- µ2 > 0
Using a random sample of 25 paired observations, the sample
means are 50 and 60 for population 1 and 2 respectively, test the...

(2.40) This is a standard deviation contest. You must choose
four numbers from the whole numbers 2626 to 9595, with repeats
allowed.
Choose four numbers that have the largest possible standard
deviation.
(Give your answer in the form of comma separated list of numbers
in ascending order.)

Which of the following sets of data has the same standard
deviation as
38, 39, 40, 41?
. 2, 3, 4, 5
. 2, 2, 3, 3
. 0, 0, 10, 10
. 2, 2, 2, 2

Consider two data sets, A and B. The sets are identical except
that the high value of data set A is three times greater than the
high value of data set B.
(a) How do the medians of the two data sets compare?
It is impossible to know how the medians compare.
Both sets have the same median.
Set A has a higher median.
Set B has a higher median.
(b) How do the means of the two data sets...

whats the mean deviation, standard deviation and range for these
set of numbers 67,76,51,51,36

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