Answered: DISCUSS THE FOLLOWING SOLUTION 1)…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter29: Tolerance, Clearance, And Interference

Section: Chapter Questions

Problem 20A: Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom...

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Question

DISCUSS THE FOLLOWING SOLUTION

1) Given :

The highest and lowest temperature is given as :

HT	LT
24	14
27	15
25	15
27	16
29	16
31	17
29	15
28	16
28	17
29	18
Sum - 277	Sum - 159
Average - 27710=27.7	Average - 15910=15.9

From the table,

Mean of high temperature is 27.7 degree

Mean of low temperature is 15.9 degree

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Solution - 2

2) Median :

The data has been ascendingly orderd as :

HT	LT
24	14
25	15
27	15
27	15
28	16
28	16
29	16
29	17
29	17
31	18

From the table values,

Median of high temperature :

MdHT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=28+0.528-28=28

Median of high temperature is 28 degree

Median of low temperature :

MdLT=n+12thitems=10+12thitems=112thitems=5.5thitems=5thitems+0.56thitems-5thitems=16+0.516-16=16

Median of low temperature is 16 degree

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Solution - 3

3) From the table given :

HT	LT
24	14
25	15
27	15
27	15
28	16
28	16
29	16
29	17
29	17
31	18

Mode of high temperature :

Here, 29 is repeated 3 times.

Thus, mode of high temperature is 29

Mode of low temperature :

Here, 15 and 16 is repeated 3 times.

Thus, mode of low temperature is 15 and 16

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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