A set of data that shows temperature highs for 10 days and satisfies all conditions below mean:72 median:74 mode:68 range:21

Step-by-step explanation:

Given

Required

The complete dataset

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From the mean, we have:

This gives:

Cross  multiply

This means that the sum of all elements of the dataset is 720

Next, we test the median

Since n = 10, then:

This implies that the median is the average of the 5th and 6th item.

So, we have:

Cross multiply

This means that the 5th and 6th element add up to 148

Also, we have:

This means that 68 has to appear at least twice in the dataset

This implies that the difference between the highest and the least is 21.

The dataset that satisfies the above condition is:

4.

step-by-step explanation:

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