Question

In a survey of 10 households, the number of children was found to be

4, 1, 5, 4, 3, 7, 2, 3, 4, 1

**(a)** State the mode.

**(b)** Calculate

(i) The mean number of children per household

(ii) The median number of children per household.

Answer #1

A survey recorded the number of children 18 years old or younger
who lived in 200 households. The accompanying table shows the
results.
a. Determine the mean number of children per household.
b. Determine the standard deviation for the number of children
per household.
Number_of_Children Number_of_Families
0 89
1 38
2 41
3 22
4 8
5 2

A survey organization takes a simple random sample
of 200 households from a city of 50,000 households. On
the average there are 2.3 persons per sample household,
and the SD is 1.8.
a) Find a 90%-confidence interval for the average
household size in the city
b) Find a 80%-confidence interval for the average
household size in the city.
c) If the researcher decreased the sample size to
only 50 people, the length of the 80% confidence
interval would be:
(i) multiplied by
2 (ii)multiplied by
4 (iii)
divided by...

2. A survey organization takes a simple random sample of 200
households from a city of 50,000 households. On the average there
are 2.3 persons per sample household, and the SD is 1.8.
a) Find a 90%-confidence interval for the average household size
in the city
b) Find a 80%-confidence interval for the average household size
in the city.
c) If the researcher decreased the sample size to only 50
people, the length of the 80% confidence interval would be:...

A random sample of 30 households was selected from a
particularneighborhood. The number of cars for each household is
shown below. Estimate the mean number of cars per household for the
population of the households in this neighborhood. Give the 95%
confidence interval.
2 0 1 2 3 2 1 0 1 4
1 3 2 0 1 1 2 3 1 2
1 0 2 3 0 2 2 1 0 2

A survey was conducted to determine the number of cats living in
individual households. The results are summarized in the
accompanying table. Complete parts a and b.
Number of Cats
Probability
0
0.27
1
0.26
2
0.28
3
0.15
4
0.04
Determine the mean and standard deviation. (Do not round)

The number of defects in 12 different production runs
were 2, 5, 10, 0, 5, 3, 4, 3, 2, 2, 0 and 0. This data can be
summarized in a frequency distribution as follows a. The values
that occur in the set in increasing order are 0, 2, 3, 4, 5 and 10.
b. The frequency of 0 is 3 since it occurs 3 times in the set. The
frequency of 2 is 3 since it occurs 3 times in...

Find the Mean, Median, and the Mode of the following
values:
i
1 2 3 4 5 6 7 8 9 10
x
10 15 15 17 21 24 24 25 28 32

The results of a survey of 800 married couples and the number of
children they had is shown below.
Number
of Children
Probability
0
.050
1
.125
2
.600
3
.150
4
.050
5
.025
If a couple is selected at random, what is the probability that
the couple will have
a.
less than four children?
b.
more than two children?
c.
either two or three children?

In a certain country, the mean number of children in a household
in the urban area is 5 with a standard deviation of 3. In the rural
area, the mean number of children in a household is 8 with a
standard deviation of 2.
Which area tends to have a larger number of children in the
household?
Which area has a larger variability in the number of children
in the household?

Observation Number
Observation
1 -11
2 -11
3 -11
4 -15
5 -17
6 -17
7 -20
8 -24
9 -25
10- 26
11 -28
12 -28
13 -29
14 -31
Calculate:-
A. MODE
B. 90TH PERCENTILE
C. STANDARD DEVIATION (ROUND THE ANSWER TO ONE DECIMAL
PLACE)
D. MEDIAN

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