Answer :
The following statements are true with respect to the data: 71, 73, 71, 65, 70: B. The median and mean are both 70. C. The mode and median are both 71. D. The mean is 70.
The median is the middle value when the data is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have 65, 70, 71, 71, 73. The middle value is 71, so the median is 71.
The mean, also known as the average, is calculated by summing up all the values and dividing by the number of values. In this case, the sum of the values is 71 + 73 + 71 + 65 + 70 = 350. Dividing this sum by 5 (the number of values) gives us a mean of 70.
The mode is the value that appears most frequently in the dataset. In this case, the value 71 appears twice, which is more frequent than any other value. Therefore, the mode is 71.
In summary, the statements B, C, and D are all true. The median and mean are both 70, the mode and median are both 71, and the mean is indeed 70 for the given dataset.
Learn more about median here :
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