The problem provides a list of hours Trey worked during each of his eight shifts: 2.0, 1.8, 4.6, 1.1, 7.5, 1.5, 4.0, 1.8. The task is to create a histogram using this data. The x-axis of the histogram represents the hours worked, and the y-axis represents the number of shifts. It looks like the given online tool automatically creates the bins.

Probability and StatisticsHistogramData AnalysisFrequency Distribution
2025/3/8

1. Problem Description

The problem provides a list of hours Trey worked during each of his eight shifts: 2.0, 1.8, 4.6, 1.1, 7.5, 1.5, 4.0, 1.

8. The task is to create a histogram using this data. The x-axis of the histogram represents the hours worked, and the y-axis represents the number of shifts. It looks like the given online tool automatically creates the bins.

2. Solution Steps

First, we analyze the given data set: 2.0, 1.8, 4.6, 1.1, 7.5, 1.5, 4.0, 1.

8. We need to count the number of data points that fall into each bin. Let's assume the bins are:

Bin 1: 1-2
Bin 2: 2-3
Bin 3: 3-4
Bin 4: 4-5
Bin 5: 7-8
* Bin 1 (1-2): 1.1, 1.5, 1.8, 1.8, 2.

0. There are 5 values. Values such as 2.0 will not be counted here. Let us count values greater or equal to 1.0 and less than 2.

0. So we have: 1.1, 1.5, 1.8, 1.

8. The count is

4. But according to the online tool, the first green dot represents numbers between 0 and 2, including

2. So we also include the value 2.0, then we have a count of

5. * Bin 2 (2-3): It is interpreted as greater than or equal to 2.0 and less than 3.

0. There are no values greater or equal to 2 and less than 3 other than 2.0, which we've already counted in Bin

1. So according to the online tool, we consider values between 2 and 4 (the second green dot). We have 2 values including values greater than or equal to 2 but less than

4. Therefore, there are no values in this bin greater than or equal to 2 and less than 4 other than those we counted.

* Bin 3 (4-5): 4.0, 4.

6. There are 2 values greater than or equal to 4 and less than

5. * Bin 4 (5-6): There are no values greater than or equal to 5 and less than

6. So, according to the online tool, we will set this value to

0. * Bin 5 (7-8): 7.

5. There is 1 value greater than or equal to 7 and less than

8.
Based on this analysis, the heights of the bars in the histogram should be:
Bin 1: 5
Bin 2: 0
Bin 3: 2
Bin 4: 0
Bin 5: 1
So, the answer for the heights of bars are: 5, 0, 2, 0, 1

3. Final Answer

5, 0, 2, 0, 1

Related problems in "Probability and Statistics"

The problem provides a frequency distribution table of marks obtained by students. Part (a) requires...

ProbabilityConditional ProbabilityWithout ReplacementCombinations
2025/6/5

The problem is divided into two questions, question 10 and question 11. Question 10 is about the fre...

Frequency DistributionCumulative FrequencyOgivePercentileProbabilityConditional ProbabilityCombinations
2025/6/5

A number is selected at random from the integers 30 to 48 inclusive. We want to find the probability...

ProbabilityPrime NumbersDivisibility
2025/6/3

The problem describes a survey where 30 people answered about their favorite book genres. The result...

PercentagesData InterpretationPie ChartFractions
2025/6/1

The problem asks us to determine if there is a statistically significant difference in promotion rat...

Hypothesis TestingChi-Square TestContingency TableStatistical SignificanceIndependence
2025/6/1

We are given a contingency table showing the number of students from different majors (Psychology, B...

Chi-Square TestContingency TableStatistical InferenceHypothesis Testing
2025/6/1

The problem describes a scenario where a pizza company wants to determine if the number of different...

Chi-Square TestGoodness-of-Fit TestHypothesis TestingFrequency DistributionP-value
2025/6/1

The problem asks to test the significance of three chi-square tests given the sample size $N$, numbe...

Chi-square testStatistical SignificanceDegrees of FreedomEffect SizeCramer's VHypothesis Testing
2025/5/29

The problem asks us to compute the expected frequencies for the given contingency table. The conting...

Contingency TableExpected FrequenciesChi-squared Test
2025/5/29

The problem asks us to estimate the chi-square value when $n=23$ and $p=99$, given a table of chi-sq...

Chi-square distributionStatistical estimationInterpolation
2025/5/27