2) a)What is the mode of data set?Make sure the answer is correct. c)Number of observations and proportions 2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce asingle unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certaintask was recorded for 50 days. The data are shown here:1281199597.124128142981081201131091241329713813313612011214612810313511410910011113111312413113313188118116981121381001121111501171229711692122a) Compute the mean, median, and mode of the data set.b) Find the range, variance, and standard deviation of the data set.c) Construct the interval yto, y± 2ơ, and y ± 3o. count the number of observations that fall within eachinterval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers?d) Construct a box plot for the data. Do you detect any outliers?e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.

Name: 2) a)What is the mode of data set?Make sure the answer is correct. c)N
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Description: 2) a)What is the mode of data set?Make sure the answer is correct. c)Number of observations and proportions 2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce asingle unit of output. At

Given: N = 50 Formula Used: Mode = The data point which has highest frequency. Y = 1N∑Yi σ = ∑Yi-Y2N

Answered: 2) a) What is the mode of data set?…

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2) a) What is the mode of data set? Make sure the answer is correct. c) Number of observations and proportions

2)- Industrial engineers periodically conduct "work measurement' analysis to determine the time required to produce a
single unit of output. At a large processing plant, the number of total worker-hours required per day to perform a certain
task was recorded for 50 days. The data are shown here:
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95
97.
124
128
142
98
108
120
113
109
124
132
97
138
133
136
120
112
146
128
103
135
114
109
100
111
131
113
124
131
133
131
88
118
116
98
112
138
100
112
111
150
117
122
97
116
92
122
a) Compute the mean, median, and mode of the data set.
b) Find the range, variance, and standard deviation of the data set.
c) Construct the interval yto, y± 2ơ, and y ± 3o. count the number of observations that fall within each
interval and find the corresponding proportions. Compare the results to the Empirical Rule. Do you detect any outliers?
d) Construct a box plot for the data. Do you detect any outliers?
e) Find the 70th percentile for the data on total daily worker-hours. Interpret its value.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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