Question

57 randomly selected students were asked the number of pairs of shoes they have. Let X represent the number of pairs of shoes. The results are as follows:

# of Pairs of Shoes |
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
---|---|---|---|---|---|---|---|---|

Frequency |
7 | 8 | 9 | 9 | 5 | 5 | 6 | 8 |

**Round all your answers to 4 decimal places where
possible.**

The mean is:

The median is:

The sample standard deviation is:

The first quartile is:

The third quartile is:

What percent of the respondents have at least 6 pairs of Shoes?
%

13% of all respondents have fewer than how many pairs of Shoes?

Answer #1

x | f | f*m |
f*m^{2} |
cf |

4 | 7 | 28 | 112 | 7 |

5 | 8 | 40 | 200 | 15 |

6 | 9 | 54 | 324 | 24 |

7 | 9 | 63 | 441 | 33 |

8 | 5 | 40 | 320 | 38 |

9 | 5 | 45 | 405 | 43 |

10 | 6 | 60 | 600 | 44 |

11 | 8 | 88 | 968 | 51 |

total | 57 | 418 | 3370 | |

mean =x̅=Σf*M/Σf= | 7.3333 | |||

sample Var
s^{2}=(Σfm^{2}-(Σfm^{2})/n)/(n-1)= |
5.4405 | |||

the mean is Σxf/Σf =(4*7+5*8+6*9+7*9+8*5+9*5+10*6+11*8)/57 =7.3333

median =middle value =(57+1)/2 th value =29 th value =7

sample standard deviation √5.4405 =2.3325

first quartile =middle value of lower half =(14th +15th value)/2 =5

third quartile is=middle value of upper half =(43th +44th value)/2 =(9+10)/2 =9.5

percent of the respondents have at least 6 pairs of Shoes =(24/57)*100=42.1053%

13% of all respondents have fewer than how many pairs of Shoes =5

69 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of
Shoes
4
5
6
7
8
9
10
11
12
13
Frequency
6
6
6
10
5
6
8
7
5
10
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The...

67 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of Shoes
4
5
6
7
8
9
10
11
12
13
14
Frequency
4
3
5
7
5
4
6
6
8
7
12
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile...

60 randomly selected students were asked the number of pairs of
shoes they have. Let X represent the number of pairs of shoes. The
results are as follows:
# of Pairs of Shoes
4
5
6
7
8
9
10
11
12
13
Frequency
3
6
9
6
5
5
6
6
6
8
Round all your answers to 4 decimal places where
possible.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The...

The Acme Company manufactures widgets. The distribution of
widget weights is bell-shaped. The widget weights have a mean of 57
ounces and a standard deviation of 6 ounces.
a) 95% of the widget weights lie between and
b) What percentage of the widget weights lie between 39 and 69
ounces? %
c) What percentage of the widget weights lie below 63
? %
57 randomly selected students were asked how many siblings were
in their family. Let X represent the number of pairs...

55 randomly selected students were asked how many siblings were
in their family. Let X - the number of pairs of siblings in the
student's family. The results are as follows:
# of Siblings
0
1
2
3
4
5
Frequency
10
6
14
8
6
11
Round all your answers to one decimal place.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents have...

Forty randomly selected students were asked the number of pairs
of sneakers they owned. Let X = the number of pairs of
sneakers owned. The results are as follows:
X
Frequency
Relative
Frequency
Cumulative Relative
Frequency
1
2
2
4
3
7
4
13
5
13
6
1
Find the sample standard deviation, s. (Round your
answer to two decimal places.)

24 randomly selected students were asked the number of movies
they watched the previous week. The results are as
follows:
# of
Movies
0
1
2
3
4
5
6
Frequency
3
6
0
4
4
4
3
Round all your answers to one decimal place.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents watched at least 5 movies the
previous week? %
38%...

22 randomly selected students were asked the number of movies
they watched the previous week. The results are as
follows:
# of Movies
0
1
2
3
4
5
Frequency
2
3
4
3
4
6
Round all your answers to one decimal place.
The mean is:
The median is:
The sample standard deviation is:
The first quartile is:
The third quartile is:
What percent of the respondents watched at least 4 movies the
previous week? %
23% of all...

Forty randomly selected students were asked the number of pairs
of sneakers they owned. Let X = the number of pairs of
sneakers owned. The results are as follows:
X
Frequency
Relative
Frequency
Cumulative Relative
Frequency
1
3
2
3
3
7
4
13
5
13
6
1
Find the sample standard deviation, s. (Round your
answer to two decimal places.) please show work

60 randomly selected students were asked how many siblings were
in their family. Let X = the number of pairs of siblings in the
student"s family. The results are as follows:
Siblings
Frequency
1
13
2
22
3
15
4
6
5
3
6
0
7
1
Round your answers to two decimal places.
93.33% of all respondents have had at most how many
siblings?

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