Question

sort mmmr. drag and drop the correct mean, median, mode, and range for each set of data. not all numbers will be used. data set 1: 93 91 91 89 85 95 92 87 88 92 92 93. data set 2: 71 67 69 67 74 70 58 59 67 63 65 61. mean median mode range mean median mode range

Explanation:

Step1: Calculate mean of Data Set 1

The sum of Data Set 1 values: $93 + 91+91 + 89+85+95+92+87+88+92+92+93=1098$. There are $n = 12$ values. Mean = $\frac{1098}{12}=91.5$.

Step2: Find median of Data Set 1

Arrange Data Set 1 in ascending - order: $85,87,88,89,91,91,92,92,92,93,93,95$. Since $n = 12$ (even), median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th values. $\frac{91 + 92}{2}=91.5$.

Step3: Determine mode of Data Set 1

The mode is the most - frequent value. In Data Set 1, 92 appears 3 times, more frequently than other values, so mode = 92.

Step4: Compute range of Data Set 1

Range = maximum value - minimum value. Maximum value = 95, minimum value = 85, so range = $95 - 85 = 10$.

Step5: Calculate mean of Data Set 2

The sum of Data Set 2 values: $71+67+69+67+74+70+58+59+67+63+65+61 = 811$. There are $n = 12$ values. Mean = $\frac{811}{12}\approx67.6$.

Step6: Find median of Data Set 2

Arrange Data Set 2 in ascending - order: $58,59,61,63,65,67,67,67,69,70,71,74$. Since $n = 12$ (even), median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th values. $\frac{67+67}{2}=67$.

Step7: Determine mode of Data Set 2

The mode is the most - frequent value. In Data Set 2, 67 appears 3 times, more frequently than other values, so mode = 67.

Step8: Compute range of Data Set 2

Range = maximum value - minimum value. Maximum value = 74, minimum value = 58, so range = $74 - 58 = 16$.

Answer:

Data Set 1:
Mean: 91.5
Median: 91.5
Mode: 92
Range: 10
Data Set 2:
Mean: 67.6 (closest value in options is 67.2)
Median: 67
Mode: 67
Range: 16 (closest value in options is 12)