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The data set represents the exit velocity (in miles per hour) for a simple random sample of 50 home runs hit during the 2018 Major League Baseball season. Complete parts (a) through (e) below.

Click the icon for the Exit Velocity of Home Runs (mph) data set.

| Exit Velocity (mph) | Relative Frequency |
|---------------------|---------------------|
| 90 to 92.4 | |
| 92.5 to 94.9 | |
| 95 to 97.4 | |
| 97.5 to 99.9 | |
| 100 to 102.4 | |
| 102.5 to 104.9 | |
| 105 to 107.4 | |
| 107.5 to 109.9 | |
| 110 to 112.4 | |
| 112.5 to 114.9 | |
| 115 to 117.4 | |

Exit Velocity of Home Runs (mph):

111, 101, 90.6, 97, 105.3, 97.8, 100.5, 98.9, 96.9, 104.5, 104, 100, 111, 101.7, 105.9, 103.4, 96.5, 93.5, 98.9, 100.7, 107.7, 105.7, 99.6, 105.9, 96.9, 106.4, 106.8, 113, 103.7, 105.4, 103, 104.5, 103.6, 109.2, 102.1, 103.9, 106.8, 115, 97.7, 102.2, 116.9, 106.5, 100.3, 107.8, 99.3, 111.5, 104.4, 105.3, 104.4, 107

With a first class having a lower class limit of 90, create a relative frequency histogram.

Answer :

The relative frequencies for each interval as numbers when rounded to 3 decimal places are:

  • 90 to 94.9 = 0.080
  • 95 to 99.9 = 0.220
  • 100 to 104.9 = 0.280
  • 105 to 109.9 = 0.220
  • 110 to 114.9 = 0.100
  • 115 to 119.9 = 0.100

What is the Histogram

Based on the values given, the class intervals will be under:

  • 90 to 94.9
  • 95 to 99.9
  • 100 to 104.9
  • 105 to 109.9
  • 110 to 114.9
  • 115 to 119.9

The count for each interval:

  • 90 to 94.9: 4
  • 95 to 99.9: 11
  • 100 to 104.9: 14
  • 105 to 109.9: 11
  • 110 to 114.9: 5
  • 115 to 119.9: 5

To calculate the relative frequency for each interval, divide the count for that interval by the total number of data points (that is 50 in this question).

So, the relative frequencies for each interval are:

90 to 94.9: 4/50 = 0.080

95 to 99.9: 11/50 = 0.220

100 to 104.9: 14/50 = 0.280

105 to 109.9: 11/50 = 0.220

110 to 114.9: 5/50 = 0.100

115 to 119.9: 5/50 = 0.100

Read more about relative frequencies here:

https://brainly.com/question/3857836

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Rewritten by : Jeany

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