Question

Class Limits (Age in years) , Frequency

0-9 ,1

10-19, 7

20-29, 12

30-39 ,12

40-49, 23

50-59, 23

60-69 ,32

70-79 ,9

80-89 ,4

90-99, 1

Find the mean, calculate sample variance and sample standard deviation,

Answer #1

Solution:

Group | Midpoint X | Frequency f | f*x |
x^{2} |
f*(x^{2}) |

0-9 | 4.5 | 1 | 4.5 | 20.25 | 20.25 |

10 -19 | 14.5 | 7 | 101.5 | 210.25 | 1471.75 |

20-29 | 24.5 | 12 | 294 | 600.25 | 7203 |

30-39 | 34.5 | 12 | 414 | 1190.25 | 14283 |

40-49 | 44.5 | 23 | 1023.5 | 1980.25 | 45545.75 |

50-59 | 54.5 | 23 | 1253.5 | 2970.25 | 68315.75 |

60-69 | 64.5 | 32 | 2064 | 4160.25 | 133128 |

70-79 | 74.5 | 9 | 670.5 | 5550.25 | 49952.25 |

80-89 | 84.5 | 4 | 338 | 7140.25 | 28561 |

90-99 | 94.5 | 1 | 94.5 | 8930.25 | 8930.25 |

SUM | 495 | 124 | 6258 | 32752.5 | 357411 |

1)

= = 6258/124 = 50.4677419355

**Mean = 50.4677419355**

2)

Variance =

= [357411/124] - [50.4677419355^{2}]

= 335.353798125

**Variance = 335.353798125**

3)

Standard deviation = positive root of variance = 18.3126676955

**Standard deviation = 18.3126676955**

Classes
Frequency
20-29
7
30-39
7
40-49
12
50-59
3
60-69
3
70-79
6
80-89
2
The ages of a sample of individuals in an GSS study are as shown
in the table above.
a. Obtain the mean score for the data
b. Obtain the median for the data
c. Obtain the first quartile for the data
d. Obtain the third quartile for the data
e. Find the IQR
a.=
b.=
c.=
d.=
e.=

Age
Frequency
Midpoint
f*M
f*(M-xbar)2
30-39
2
40-49
3
50-59
7
60-69
5
70-79
1
Compute the Coefficient of Variation to 2 decimal places.
Do NOT format answer: No $, Commas, %.

Construct the cumulative frequency distribution for the given
data.
Age (years) of Best Actress when award was won
Frequency
20-29
2828
30-39
3737
40-49
1414
50-59
22
60-69
77
70-79
22
80-89
22
Age (years) of Best Actress when award was won
Cumulative Frequency
Less than 30
nothing
Less than 40
nothing
Less than 50
nothing
Less than 60
nothing
Less than 70
nothing
Less than 80
nothing
Less than 90
nothing

please do it in
Excel
Classes
F
x
10-19
2
4
20-29
19
23
30-39
7
68
40-49
2
4
50-59
1
1
60-69
0
0
1. Mean
2. Median
3. Mode
4. Standard divition
5. quartiles, percentiles and the correlation
coefficient

Data was collected for 364 randomly selected 10 minute
intervals. For each ten-minute interval, the number of people
entering the atrium of a large mall were recorded. The data is
summarized in the table below.
Number
of Guests
Frequency
220 – 239
83
240 – 259
95
260 – 279
47
280 – 299
43
300 – 319
96
What is the class width for this GFDT?
Class width =
The number of students in the tutoring center was recorded...

Age range (yr)
20-29
30-39
40-49
50-59
60-69
70-79
80+
Midpoint x
24.5
34.5
44.5
54.5
64.5
74.5
84.5
Percent of nurses
5.6%
9.1%
19.3%
29.7%
24.5%
10.1%
1.7%
What was the age distribution of nurses in Great Britain at the
time of Florence Nightingale? Suppose we have the following
information. Note: In 1851 there were 25,466
nurses in Great Britain.
Compute the standard deviation σ for ages of nurses shown in the
distribution. (Round your answer to two decimal places.)

C) Calculate the mean, mode, median, P65 for the following data:
75, 89, 89, 89, 56, 77, 99, 91, 80, 76, 84, 83, 101, 111, 94. (Show
all process to reach the final result).
D) Find the mean for the following frequency distribution: (Show
all the
process to
reach the final result).
Limits
Frequency
30-39
15
40-49
6
50-59
12
60-69
7
70-79
10
80-89
13
90-99
8

Male and female populations of humpback whales under 80 years
old are represented by age in the table below. Complete parts (a)
through (d).
Age Males Females
0-9 (10) (6)
10-19 (17) (9)
20-29 (13) (15)
30-39 (16) (19)
40-49 (24) (24)
50-59 (21) (25)
60-69 (19) (19)
70-79 (12) (13)
Find the population mean and the standard deviation of age for
males and Females

Age
range (yr)
20-29
30-39
40-49
50-59
60-69
70-79
80+
Midpoint x
24.5
34.5
44.5
54.5
64.5
74.5
84.5
Percent of nurses
5.9%
9.6%
19.4%
29.5%
24.9%
8.7%
2.0%
(c) Find the probability that a British nurse selected at random
in 1851 would be 60 years of age or older. (Round your answer to
three decimal places.)
(d) Compute the expected age μ of a British nurse contemporary to
Florence Nightingale. (Round your answer to two decimal
places.)
yr
(e)...

The following frequency distribution shows the price per share
for a sample of 30 companies listed on the New York Stock Exchange.
Price per Share Frequency $20-29
5 $30-39 5 $40-49
7 $50-59 4 $60-69
6 $70-79 2 $80-89
1 Compute the sample mean price per share and the sample standard
deviation of the price per share for the New York Stock Exchange
companies (to 2 decimals). Assume there are no price per shares
between 29 and 30, 39 and...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 24 minutes ago

asked 35 minutes ago

asked 36 minutes ago

asked 42 minutes ago

asked 51 minutes ago

asked 55 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago