7th Grade Math Statistics Unit Test

<p>A website has two online Math tutorials. The number of students registered for the tutorials per day in a given week is shown below:</p><ul><li>Tutorial `A` : `24`, `43`, `20`, `32`, `48`, `33`, `38`</li><li>Tutorial `B` : `20`, `40`, `29`, `42`, `30`, `24`, `18`</li></ul><p>Which online tutorial has the greater mean of the number of registrations each day of the given week?</p>

<p>Johnson and Craig both run the `400`-meter race for their track team. The time in seconds for `6` of their races is shown below:</p><ul><li>Johnson: `44.5`, `45.8`, `44.8`, `45.1`, `43.6`, `44`</li><li>Craig : `44.1`, `44.6`, `44.5`, `43.5`, `45.3`, `42`</li></ul><p>Who has the greater median of time taken to complete a race?</p>

<p>Mary's scores in Science and Math for the last `5` unit tests are given below:</p><ul><li>Math: `34`, `48`, `32`, `45`, `42`</li><li>Science: `32`, `34`, `30`, `41`, `45`</li></ul><p>In which subject does Mary have a greater range of scores on unit tests?</p>

<p>The dot plots below show the number of yards after the catch, run by wide receivers in two different football games. <p>When comparing the data sets, which team had the greater median for yards run?</p> <MultipleDotPlot data-props='{"minScaleValue":10,"maxScaleValue":50,"interval":5,"hashMarksBetweenInterval":4,"dotPlots":[{"xlabel":"Game A","plotItems":[{"value":12,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":15,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":25,"freq":1,"highlightFreq":false},{"value":30,"freq":1,"highlightFreq":false},{"value":45,"freq":2,"highlightFreq":false},{"value":48,"freq":1,"highlightFreq":false},{"value":50,"freq":1,"highlightFreq":false}]},{"xlabel":"Game B","plotItems":[{"value":17,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":19,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":25,"freq":1,"highlightFreq":false},{"value":27,"freq":1,"highlightFreq":false},{"value":36,"freq":2,"highlightFreq":false},{"value":40,"freq":1,"highlightFreq":false},{"value":42,"freq":1,"highlightFreq":false}]}],"title": "Number of Yards"}'></MultipleDotPlot >

<p>The dot plots below show the number of floors in several buildings in Manhattan compared to the number of floors in several buildings in Brooklyn. <p>Which region of the city, Brooklyn or Manhattan, has buildings with a greater range in the number of floors? </p><MultipleDotPlot data-props='{"minScaleValue":10,"maxScaleValue":25,"interval":1,"hashMarksBetweenInterval":0,"dotPlots":[{"xlabel":"Manhattan","plotItems":[{"value":10,"freq":2,"highlightFreq":false,"highlightValue":false},{"value":11,"freq":0,"highlightFreq":false,"highlightValue":false},{"value":12,"freq":0,"highlightFreq":false},{"value":13,"freq":0,"highlightFreq":false},{"value":14,"freq":0,"highlightFreq":false},{"value":15,"freq":1,"highlightFreq":false},{"value":16,"freq":1,"highlightFreq":false},{"value":17,"freq":0,"highlightFreq":false},{"value":18,"freq":0,"highlightFreq":false},{"value":19,"freq":1,"highlightFreq":false},{"value":20,"freq":0,"highlightFreq":false},{"value":21,"freq":0,"highlightFreq":false},{"value":22,"freq":3,"highlightFreq":false},{"value":23,"freq":0,"highlightFreq":false},{"value":24,"freq":0,"highlightFreq":false},{"value":25,"freq":0,"highlightFreq":false}]},{"xlabel":"Brooklyn","plotItems":[{"value":10,"freq":0,"highlightFreq":false,"highlightValue":false},{"value":11,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":12,"freq":0,"highlightFreq":false},{"value":13,"freq":2,"highlightFreq":false},{"value":14,"freq":0,"highlightFreq":false},{"value":15,"freq":0,"highlightFreq":false},{"value":16,"freq":0,"highlightFreq":false},{"value":17,"freq":1,"highlightFreq":false},{"value":18,"freq":0,"highlightFreq":false},{"value":19,"freq":1,"highlightFreq":false},{"value":20,"freq":0,"highlightFreq":false},{"value":21,"freq":0,"highlightFreq":false},{"value":22,"freq":0,"highlightFreq":false},{"value":23,"freq":0,"highlightFreq":false},{"value":24,"freq":3,"highlightFreq":false},{"value":25,"freq":0,"highlightFreq":false}]}],"title": "Number of Floors in Several Buildings "}'></MultipleDotPlot >

<p>In a middle school gym class, a group of `7`th grade boys and girls was measured to see how many inches they had grown over the last year. The dot plots below compare the height increases of boys and girls over the last year. <p>When comparing the two data sets, which group of middle schoolers had the greater mean number of inches in height increase?</p><MultipleDotPlot data-props='{"minScaleValue":0,"maxScaleValue":7,"interval":0.5,"hashMarksBetweenInterval":0,"dotPlots":[{"xlabel":"Boys","plotItems":[{"value":1,"freq":2,"highlightFreq":false,"highlightValue":false},{"value":1.5,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":2.5,"freq":1,"highlightFreq":false},{"value":4,"freq":1,"highlightFreq":false},{"value":4.5,"freq":1,"highlightFreq":false},{"value":6.5,"freq":1,"highlightFreq":false}]},{"xlabel":"Girls","plotItems":[{"value":1,"freq":3,"highlightFreq":false,"highlightValue":false},{"value":2,"freq":1,"highlightFreq":false,"highlightValue":false},{"value":2.5,"freq":1,"highlightFreq":false},{"value":3,"freq":1,"highlightFreq":false},{"value":3.5,"freq":1,"highlightFreq":false}]}],"title": "Height of Boys and Girls"}'></MultipleDotPlot >

<p>Car companies use data about mileage performance to make improvements to their vehicles' fuel efficiency. The box plots below show the mileage of `100` random samples of two different car models. </p><BoxPlot data-props='{"plots":[{"min":{"value":18},"max":{"value":32},"q1":{"value":20,"highlight":false,"showPlot":false,"color":"red"},"q2":{"value":24},"q3":{"value":27,"highlight":false,"showPlot":false},"label":" Type x"},{"min":{"value":17},"max":{"value":33},"q1":{"value":18,"highlight":false,"color":"red"},"q2":{"value":22},"q3":{"value":28,"highlight":false},"color":"black","label":"Type y"}],"minScaleValue":15,"maxScaleValue":34,"interval":1,"hashMarksBetweenInterval":0,"title":"Mileage Performance of Cars","xlabel":"Mileage of cars of Type x and y","ylabel":" "}'></BoxPlot ><ul><li>Find the median values for each box plot.</li><li>What conclusion can be drawn about the median values?</li></ul>

<p>Mr. Rick, a third-grade teacher, recorded his students' scores on their last 80-point quiz in science and math class. The box plots below show the marks obtained by each student in each of the subjects. </p> <BoxPlot data-props='{"plots":[{"min":{"value":25},"max":{"value":75},"q1":{"value":45,"highlight":false,"showPlot":false,"color":"red"},"q2":{"value":50},"q3":{"value":60,"highlight":false,"showPlot":false},"label":"Science"},{"min":{"value":15},"max":{"value":70},"q1":{"value":40,"highlight":false,"color":"red"},"q2":{"value":55},"q3":{"value":60,"highlight":false},"color":"black","label":"Maths"}],"minScaleValue":10,"maxScaleValue":80,"interval":5,"hashMarksBetweenInterval":0,"title":"Scores of third-grade student ","xlabel":"Student Scores in Science and Maths","ylabel":" "}'></BoxPlot ><ul><li>Find the range values for each box plot.</li><li>What conclusion can be drawn about the range values?</li></ul>

<p>In the South Lake community, there are `84` people who go biking every weekend. In a survey of `664` randomly selected people, `56` bike regularly on weekends. Based on the survey what is the best estimate of the total population of the South Lake community?</p>

<p>In Woodlands County, there are `45` families that have a pool in their home. In a survey of `279` randomly selected families, `31` families have a pool in their homes. What is the estimate of total families in Woodlands county? </p>

<p>Timpony School District surveyed a random sample of `60` middle school students about the amount of time they watch TV each evening. The results of the survey are shown in the table below. There are `420` middle school students in the Timpony School District. Based on the survey data, how many middle school students in the Timpony School District are watching more than `4` hours of TV each evening?</p><tableui data-variant="basic" data-headers='["Watch Time(TV)","Number of Students"]' data-rows='[[{"value":"Less Than `2` Hours"},{"value":"`8`"}],[{"value":"Between `2` and `3` Hours"},{"value":"`12`"}],[{"value":"Between `3` and `4` Hours"},{"value":"`16`"}],[{"value":"More Than `4` Hours"},{"value":"`14`"}]]' />

<p>A museum employee surveyed a random sample of `40` visitors to the museum about their purchases at the museum. Of the visitors surveyed: </p> <ul><li>`11` bought something at the gift shop </li> <li>`13` went to the coffee shop, and </li> <li>`16` made a purchase from the souvenir shop. </li></ul> <p>Based on these results, how many people out of the next `100` visitors to the museum would be expected to make a purchase from the souvenir shop? </p>

<p>An office manager counts the number of letters sent by each of his company's employees each week. </p> <dotplot data-props='{"title":"Mailing letters last week","xlabel":"Letters","ylabel":"Employee","minScaleValue":0,"maxScaleValue":3,"interval":1,"hashMarksBetweenInterval":0,"plotItems":[{"value":0,"freq":6},{"value":1,"freq":9},{"value":2,"freq":7},{"value":3,"freq":5}]}'/></dotplot> <ul><li>How many employees are there in all?</li><li>How many employees mailed exactly `3` letters last week?</li><li>How many employees mailed more than `1` letter last week?</li><li>How many employees mailed fewer than `2` letters last week?</li></ul>

<p>The dot plot below represents how long it takes employees of a local firm to get to their office every morning. </p><dotplot data-props='{"title":"Reaching Office","xlabel":"Time (minutes)","ylabel":"Number of Employee","minScaleValue":5,"maxScaleValue":45,"interval":5,"hashMarksBetweenInterval":0,"plotItems":[{"value":5,"freq":2},{"value":10,"freq":2},{"value":15,"freq":4},{"value":20,"freq":1},{"value":25,"freq":3},{"value":30,"freq":3},{"value":35,"freq":1},{"value":40,"freq":2}]}'></dotplot> <ul><li>How many employees were surveyed?</li><li>How many employees take exactly `40` minutes to reach office?</li><li>How many employees take more than `30` minutes to reach office?</li><li>How many employees take fewer than `15` minutes to reach office?</li></ul>