Question

Q1.Following data represents the daily wages of workers of a garment factory in Rs.Prepare a frequency distribution table taking 5 Rs,as the width of the class interval:
200,196,192,188,186,184,180,178,191,187,183,179,177,175,173,171,169,158,156,173,150,157,155,153,151,148,146,163,159,155,151,149,147,145,143,141,158,154,150,156,144,142,140,138,146,153,150,143,136.

Answer 1

@uri this is making me shiver already...

Answer 2

This is a long and annoying process... first you need to find the smallest and largest values....

Answer 3

lol,This is actually the first chapter which includes numbers,other is theory @terenzreignz

Answer 4

yeah, I figured. it has been two years since I first read about this (it bored me to death)

Answer 5

but, I'll help you get started... first, the smallest and largest values?

Answer 6

Lol,like smallest to the largest number?

Answer 7

200 is the largest.

Answer 8

oh, well, sorting them from the smallest to the largest would make your job easier, but not REALLY necessary (for the moment).

Yes, 200 is largest, the smallest?

Answer 9

136 looks smallest to me :D

Answer 10

Okay, now you need their difference...

Answer 11

difference,as in?

Answer 12

I meant difference of 200 and 136, but I think that's also not needed (in the book I read, I'd be told the number of intervals I should have, and not the width of each interval)

Anyway, the width of each interval is 5, right?

Answer 13

Okay, first, you need to know the intervals...
Intervals take the form, for example, the first interval is
136 - 140
that's an interval. Following me so far?

Answer 14

136 -140,what do we have to do..?

Answer 15

for now, it's just an example of an interval. you'll get it later :)
It just means
136 to 140

now the WIDTH of this interval is 5, because there are 5 possible values
136, 137, 138, 139, and 140

okay? :)

Answer 16

We have to go from the smallest values to largest..? and the width is 5 so yeah..I get it.

Answer 17

Okay, so we need to identify ALL the intervals (that we need)
starting with
136 to 140

What's the next interval? :)

Answer 18

141 -145.

Answer 19

That's good. Just name all the intervals (no need to post them here, I know you can do it)
until you reach an interval that contains the highest value. that'd be 196 to 200, yes?

Answer 20

Yes,So waste of time so i have to see how many intervals there are altogether?

Answer 21

146 -150,151-155,156-160,161 -165,166 -170,171-175,176-180,181 -185,186-190,191 -195,196-200...:O

Answer 22

13 intervals,If I am not wrong?

Answer 23

nice SS uri. maybe I should unfan you to bring it back to yellow :D

Just kidding
Yeah, 13 intervals :)

Ready for the next step?

Answer 24

Next step is the easiest and also the hardest :D

Answer 25

Yes,ready :)

Answer 26

It's tallying... so help me this task is taxing... so much work... anyway, you just have to tally how many in your data set (that large list of numbers you have) corresponds to each interval.

For example, for the interval
136-140, you have 2 entries (if I'm not mistaken) You have one "136" and one "140"

Now you have to do the rest for all the other interval >:)

Good Luck...

Answer 27

um so the other interval is *141* and *145*

Answer 28

Not quite, I'm sure there are 142's, 143's, 144's... did it occur to you that these also belong in the interval
141-145 ?
:D

Answer 29

I don't get this!! :(

Answer 30

don't worry...
141-145
that means
all numbers between 141 and 145, including 141 and 145 themselves. I believe there are 6 of them in your data set...
one 141
one 142
two 143's
one 144
one 145

Answer 31

get it now? :)

Answer 32

There are 5 set in one..

Answer 33

huh?

Answer 34

wait..from 141 to 145 there are 5.

Answer 35

No, see, what you're asked to do is to find how many 141's, 142's, 143's, 144's and 145's are in your data set. I believe I have already found all of them ^

Answer 36

Oh how many in 40's?

Answer 37

not quite, because you don't count the 46's onwards (yet)
only from '41 to '45

Answer 38

Why?

Answer 39

because the interval is only
141 - 145 remember? :P

Answer 40

Yes...so what do i have to do now?

Answer 41

tally the rest :D

Answer 42

Do one more for me..

Answer 43

sure :)
The interval
146-150 okay? :)

Answer 44

Okay?

Answer 45

okay :)
hang on...

Answer 46

I saw 8 of them....
two 146's
one 147
one 148
one 149
and finally
three 150's

that makes 8 entries that fall within 146 - 150

Answer 47

Okay now let me try for 151-155.

Answer 48

sure :)

Answer 49

two 151
two 155
one 153
two 150
Um 7?

Answer 50

Yeah, 7

See? This is a horrendously annoying task :D
Even though it's technically easy :P

Answer 51

Omg,I did it! Okay now let me do others fast!

Answer 52

I'm reposting the numbers here so I don't have to keep scrolling up and down...


200,196,192,188,186,184,180,178,191,187,183,179,177,175,173,171,169,158,156,173,150,157,155,153,151,148,146,163,159,155,151,149,147,145,143,141,158,154,150,156,144,142,140,138,146,153,150,143,136

Answer 53

Wait a sec, why did you count the 150's ?
There were already accounted for in the
146-150 part..

Answer 54

Sorry 5.

Answer 55

and there are two 153's

(don't feel too bad if you're getting this wrong. I'm getting this wrong too :P)

Answer 56

It's just a really annoying task.

Answer 57

This is why I hate stats :D

Answer 58

So there are 6? lol

Answer 59

Hey @uri are you using chrome?
Ctrl+F might be a godsend here :D

Answer 60

Yes,chrome why? :D

Answer 61

I pressed it,i don't know what happened..o_o

Answer 62

ctrl + F
and just type the number you're looking for. chrome highlights them B)

Answer 63

No, press and hold Ctrl and then press F

Answer 64

in the upper right, a new search bar should appear

Answer 65

did you do it? :D

Answer 66

Smart,Now..from 156-159 =
two 156
one 157
two 158
one 159

Answer 67

156-160
remember? :P

Answer 68

Reposting again :P
Partly to annoy you XD


200,196,192,188,186,184,180,178,191,187,183,179,177,175,173,171,169,158,156,173,150,157,155,153,151,148,146,163,159,155,151,149,147,145,143,141,158,154,150,156,144,142,140,138,146,153,150,143,136

Answer 69

Yes,but there is no 160 ahhha :D

Answer 70

But then again, there are no 160 yeah XD

Answer 71

That makes 6, then?

Okay, go for 161-165

Answer 72

Lol okay that is not annoying me but helping meee!!

Answer 73

I think there's just one. Double check?

Answer 74

163 that's all.

Answer 75

yup, so just the one.

166 - 170 ?

Answer 76

169 only one :)

Answer 77

I think it's also just 1 :D

Answer 78

171 -175:
one 171
two 173
one 175 that is 4 :D

Answer 79

You seem to be getting the hang of it... (thank you google chrome XD )

Answer 80

LOVE YOU GOOOOOOOGLE CHROME!! <33

Answer 81

Too bad there's no Ctrl+F on normal books :3

Answer 82

now 176 -180
one 177
one 178
one 179
one 180 that is 4.!

Answer 83

That's right LOL just 4 more to go :3

Answer 84

181-185
one 183
one 184
that is 2.

Answer 85

200,196,192,188,186,184,180,178,191,187,183,179,177,175,173,171,169,158,156,173,150,157,155,153,151,148,146,163,159,155,151,149,147,145,143,141,158,154,150,156,144,142,140,138,146,153,150,143,136

Answer 86

186 -190
one 186
one 187
one 188 that is 3.

Answer 87

correct again :D

Answer 88

191-195
one 191
one 192 so 2

Answer 89

yup, just one more, and you're good to go :D

Answer 90

196-200
one 196 one 200 that is 2

Answer 91

and we are done with frequencies, thank God... XD

Answer 92

Yaay,Thanks ;)

Answer 93

So, you have two columns now, one for the intervals...
136-140...etc

One for the frequencies
(the ones we were counting)

You might have a column for the "Class Mark"

Answer 94

But don't worry, class mark is just the midpoint of each interval

For example, the class mark of the interval
136-140 is 138

Answer 95

and so on.

Answer 96

Got you :3,So for 141 to 145 is 143 right?

Answer 97

... I can't believe you dragged me back into Statistics, I thought I had enough of this 2 years ago... (when I was 14 haha)

anyway, it was fun though :3