4. The table below shows the length of time to brew coffee when Coffee Shop X opened for three days. Time (minutes) Frequency 0 and less than 4 4 4 and less than 8 5 8 and less than 12 10 12 and less than 16 5 16 and less than 20 4 (1) Calculate the mean and standard deviation for the above data. (ii) Construct a histogram to represent the above data. (iii) Using the histogram, estimate the modal time spend to brew the coffee for Coffee Shop X and comment on the value obtained. (iv) Given that the mean and standard deviation of the length of time to brew the coffee for Coffee Shop Z were 11 and 5.235 respectively. Determine which Coffee Shop has a more consistent distribution.

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Author:Amos Gilat
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I'm confused how to answer iii and iv..please help me..thank you
4. The table below shows the length of time to brew coffee when Coffee Shop
X opened for three days.
Time (minutes)
Frequency
4
0 and less than 4
4 and less than 8
5
8 and less than 12
10
12 and less than 16
5
16 and less than 20
4
(1)
Calculate the mean and standard deviation for the above data.
(ii)
Construct a histogram to represent the above data.
(iii)
Using the histogram, estimate the modal time spend to brew the
coffee for Coffee Shop X and comment on the value obtained.
(iv)
Given that the mean and standard deviation of the length of time to
brew the coffee for Coffee Shop Z were 11 and 5.235 respectively.
Determine which Coffee Shop has a more consistent distribution.
Transcribed Image Text:4. The table below shows the length of time to brew coffee when Coffee Shop X opened for three days. Time (minutes) Frequency 4 0 and less than 4 4 and less than 8 5 8 and less than 12 10 12 and less than 16 5 16 and less than 20 4 (1) Calculate the mean and standard deviation for the above data. (ii) Construct a histogram to represent the above data. (iii) Using the histogram, estimate the modal time spend to brew the coffee for Coffee Shop X and comment on the value obtained. (iv) Given that the mean and standard deviation of the length of time to brew the coffee for Coffee Shop Z were 11 and 5.235 respectively. Determine which Coffee Shop has a more consistent distribution.
Frequency
+275
O
-0-5
et
di
8
3-5
75
15
18.5
19-5
aass boundaries
of times ($)
Transcribed Image Text:Frequency +275 O -0-5 et di 8 3-5 75 15 18.5 19-5 aass boundaries of times ($)
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