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> <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>When comparing the data sets, which team had the greater median for yards run?</p>

<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><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>Which region of the city, Brooklyn or Manhattan, has buildings with a greater range in the number of floors? </p>

<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><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>When comparing the two data sets, which group of middle schoolers had the greater mean number of inches in height increase?</p>

<p>In 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 home. What is the estimate of total families in the 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>