Question

2. In a given sample data below, find the mean, median, mode, and standard deviation.22, 30, 26, 39, 40, 33, 26, 36.

Answer #1

**Solution:**

x |
x2 |

22 | 484 |

30 | 900 |

26 | 676 |

39 | 1521 |

40 | 1600 |

33 | 1089 |

26 | 676 |

36 | 1296 |

∑x=252 |
∑x2=8242 |

Mean ˉx=∑xn

=22+30+26+39+40+33+26+36/8

=252/8

=31.5

**Median :**

Observations in the ascending order are :

22,26,26,30,33,36,39,40

Here, n=8 is even.

M=Value of(n2)thobservation+Value of(n2+1)thobservation2

=Value of(82)thobservation+Value of(82+1)thobservation2

=Value of4thobservation+Value of5thobservation2

=30+332

=31.5

**Mode :**

In the given data, the observation 26 occurs maximum number of
times (2)

∴Z=26

Sample Standard deviation S=√∑x2-(∑x)2nn-1

=√8242-(252)28/7

=√8242-7938/7

=√304/7

=√43.4286

=6.59

For each of the data sets provided below, calculate the mean,
median, mode, and standard deviation.
1) Data Set 1:
23, 26, 50, 39, 55, 64, 50, 10, 42, 35, 51, 42, 43, 56, 64, 48,
48, 57, 27, 37
2) Data Set 2:
26, 31, 10, 37, 38, 35, 30, 24, 26, 27, 24, 32, 32, 19, 34, 33,
14, 32, 24, 39, 30

Find the (a) mean, (b) median, (c) mode, and (d) midrange for
the given sample data. Listed below a re the amounts of personal
income (in dollars) for five states. $33, 976 $ 24, 542 $ 25, 148 $
26, 133 $ 32, 161

2. Given the following data, calculate the mean, median, mode,
midrange, standard deviation, and variance.
14.35, 17.22, 18.90, 20.02, 34.43, 12.85, 18.49, 7.62, 19.93
(a) Mean
(b) Median
(c) Mode
(d) Range
(e) Standard Deviation
(f) Variance

Calculate the arithmetic mean, median, mode and standard
deviation for the following data.
Age in Years 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
Number of people 8 7 15 18 22 14 10 5

(a) Find the mean, median, mode and
standard deviation of the following set of ungrouped sample
data:
4, 2, 3, 5, 3, 1, 6, 4, 2, 3
(b) What proportion of the
measurements lies within 1 standard deviation of the mean? Within 2
standard deviations of the mean? Within 3 standard
deviations?
(c) Based on your answers to part
(b), would you conjecture that the histogram is approximately bell
shaped? Explain.

For the following Data determine the Mean, Standard Deviation,
mode, median and coefficient of variation as well as developing a
histogram:
29, 30, 25, 27, 28, 25, 27, 27, 27,
30, 28, 29, 27, 30, 28, 26, 29, 25, 26, 29
(report answers in form xx.xx)

1. Determine the range, mean, median, mode, variance and
standard deviation for the following scores: 18, 14, 17, 22, 16,
26, 33, 27, 35, 28, 44, 40, 31, 53, 70, 73, 62, 74, 93, 103, 75,
86, 84, 90, 79, 99, 73

Find the mean, median, mode, range, and standard deviation for
this data set. When
applicable state whether the data set is: unimodal, bimodal,
or multimodal. Round your
answers to one or more decimal place than the largest number
of decimal places given in
the data. The data set is a sample.
$11.40, $32.00, $22.50, $12.01, $10.08, $18.30, $18.40,
$32.00

Find the mean, median, mode, range, variance, and standard
deviation for the following data: 10,12, 15, 16, 16, 17, 18.

Find the median for the given sample
data.
The number of vehicles passing through a bank drive-up line during
each 15-minute period was recorded. The results are shown below.
Find the median number of vehicles going through the line in a
fifteen-minute period.
30 32 30 33
33 30 35 32
40 36 36 34
29 36 30 25
20 32 32 32
Question 4 options:
A)
31.85
B)
32
C)
33
D)
36

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