The list below shows the quantity of items purchased by customers at a particular checkout counter of a supermarket. 13, 6, 5, 9
, 12, 14, 18, 4, 13, 12, 4, 3, 11, 14 Create a histogram that correctly displays the data.
2 answers:
Answer:
A histogram is a bar-diagram which shows the frequency of certain data.
If we elaborate frequency table, it would be like
Number Frequency
3 1
4 2
5 1
6 1
9 1
11 1
12 2
13 2
14 2
18 1
Where the total number is N = 14
Now, to graph this table as a histogram, we first need to label each axis. The horizontal axis will represent Numbers and the vertical axis will represent Frequency.
Then, the vertical axis will have marked number 1 and number 2. The horizontal axis will have mared numbers from 3 to 18, as the image attached shows.
After that, we will draw a bar, where each height will be the frequence. Refer to the image attached to see the histogram.
Answer:
The histogram can have four ranges.
Step-by-step explanation:
To make a histogram you need to separate the data in ranges and check how many values fall into each range. The number of values that fell in a range is going to be the height of the bar.
Arranging the values in increasing order:
3,4,4,5,6,9,11,12,12,13,13,14,14,18
The minimum value is 3 and the maximum is 18. If you make four ranges (you can choose the number of ranges): from 3 to below 7, from 7 to below 11, from 11 to below 15, from 15 to below 19.
The number of values that fall in each category is:
5 in the range from 3 to below 7 (3,4,4,5,6).
1 in the range from 7 to below 11 (9).
7 in the range from 11 to below 15 (11,12,12,13,13,14,14)
1 in the range from 15 to below 18 (18).
Use the values as heights to draw the histogram.
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Answer:
a) There is a 16.6% probability that doubles were rolled.
b) Given that the roll resulted in a sum of 6 or less, there is a 20% probability that doubles were rolled.
c) There is a 30.55% probability that at least one die is a 1.
Step-by-step explanation:
The probability formula is the number of desired outcomes divided by the number of total outcomes.
(a) Find the probability that doubles were rolled. (i.e. the two outcomes are equal)
There are six desired outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
There are 36 total outcomes. So:
There is a 16.6% probability that doubles were rolled.
(b) Given that the roll resulted in a sum of 6 or less, find the conditional probability that doubles were rolled.
The following rolls result in a sum of 5 or less:
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
So, there are 15 total outcomes.
3 of them are doubled: (1,1), (2,2), (3,3). So
Given that the roll resulted in a sum of 6 or less, there is a 20% probability that doubles were rolled.
(c) Find the probability that at least one die is a 1
The following outcomes have at least one die that is 1:
(1,1), (1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(3,1),(4,1),(5,1),(6,1)
So, there are 11 desired outcomes out of 36.
There is a 30.55% probability that at least one die is a 1.