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This page shows questions in the Math 6 Statistics and Probability public release module at MSDE. 6th Grade Math
"Math 6 Statistics and Probability"

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This is a matching question that allows you to match elements from one list with those on another list.

Three distributions are displayed as histograms in the following table. What is the best description of the shape of each distribution?

Select one cell per row.

Symmetric Skewed to the Left Skewed to the Right
The figure shows a histogram with the numbers 3 through 12, in increments of 1, indicated along the horizontal axis. Eight vertical bars, each with a width of 1, are shown from 3.5 through 11.5 along the horizontal axis. Of the 8 bars, there are 4 different heights. Bars 3 and 4 have the same height. Bars 5, 6, 7, and 8 have the same height. The data represented by the bars in the histogram are as follows,. Bar 1. From 3.5 to but not including 4.5, the bar has the greatest height,. Bar 2. From 4.5 to but not including 5.5, the bar has a height less than the height of bar 1,. Bar 3. From 5.5 to but not including 6.5, the bar has a height less than the height of bar 2,. Bar 4. From 6.5 to but not including 7.5, the bar has the same height as the height of bar 3,. Bar 5. From 7.5 to but not including 8.5, the bar has the least height,. Bar 6. From 8.5 to but not including 9.5, the bar has the same height as the height of bar 5,. Bar 7. From 9.5 to but not including 10.5, the bar has the same height as the height of bars 5 and 6,. Bar 8. From 10.5 to but not including 11.5, the bar has the same height as the height of bars 5, 6, and 7.
The figure shows a histogram with the numbers 3 through 12, in increments of 1, indicated along the horizontal axis. Eight vertical bars, each with a width of 1, are shown from 3.5, through 11.5, on the horizontal axis. Of the 8 bars, there are 5 different heights. Bar 1 and 8 have the same height. Bars 2 and 3 have the same height. Bars 4 and 5 have the same height. The data represented by the bars in the histogram are as follows,. Bar 1. From 3.5 to but not including 4.5, the bar has the least height,. Bar 2. From 4.5 to but not including 5.5, the bar has a height greater than the height of bar 1,. Bar 3. From 5.5 to but not including 6.5, the bar has the same height as the height of bar 2,. Bar 4. From 6.5 to but not including 7.5, the bar has a height greater than the height of bar 3,. Bar 5. From 7.5 to but not including 8.5, the bar has the same height as the height of bar 4,. Bar 6. From 8.5 to but not including 9.5, the bar has a height greater than the height of bar 5,. Bar 7. From 9.5 to but not including 10.5, the bar has the greatest height,. Bar 8. From 10.5 to but not including 11.5, the bar has the same height as the height of bar 1.
The figure shows a histogram, with the numbers 3, through 12, in increments of 1, indicated along the horizontal axis. Eight vertical bars, each with a width of 1, are shown from 3.5, through 11.5, on the horizontal axis. Of the 8 bars, there are 4 different heights. Bars 1 and 8 have the same height. Bars 2 and 7 have the same height. Bars 3 and 6 have the same height. Bars 4 and 5 have the same height. The data represented by the bars in the histogram are as follows.Bar 1. From 3.5 to but not including 4.5, the bar has the least height.Bar 2. From 4.5 to but not including 5.5, the bar has a height greater than the height of bar 1,. Bar 3. From 5.5 to but not including 6.5, the bar has a height greater than the height of bar 2,. Bar 4. From 6.5 to but not including 7.5, the bar has the greatest height,. Bar 5. From 7.5 to but not including 8.5, the bar has the same height as the height of bar 4,. Bar 6. From 8.5 to but not including 9.5, the bar has the same height as the height of bar 3,. Bar 7. From 9.5 to but not including 10.5, the bar has the same height as the height of bar 2,. Bar 8. From 10.5 to but not including 11.5, the bar has the same height as the height of bar 1.

This is a fill in the blank question that allows you to enter only numbers.

The following histogram summarizes the recorded number of push-ups that a group of fitness instructors completed in a certain time period. Each interval contains possible values at the left endpoint up to but not including the right endpoint.

The figure shows a histogram titled Distribution of Number of Push-Ups. The horizontal axis is labeled Number of Push-Ups, and the numbers 36 through 72, in increments of 3, are indicated. The vertical axis is labeled Frequency, and the numbers 0 through 12, in increments of 2, are indicated. The data for the 12 intervals of the histogram are as follows.Number of push-ups: 36 to 39; frequency: 1,.Number of push-ups: 39 to 42; frequency: 2,.Number of push-ups: 42 to 45; frequency: 3,.Number of push-ups: 45 to 48; frequency: 9,.Number of push-ups: 48 to 51; frequency: 12,.Number of push-ups: 51 to 54; frequency: 11,.Number of push-ups: 54 to 57; frequency: 6,.Number of push-ups: 57 to 60; frequency: 4,.Number of push-ups: 60 to 63; frequency: 1,.Number of push-ups: 63 to 66; frequency: 0,.Number of push-ups: 66 to 69; frequency: 0,.Number of push-ups: 69 to 72; frequency: 1,.

What is the total number of fitness instructors represented in the histogram who completed 57 or more push-ups?

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