here are the scores of 13 students on a geography test. 61, 63, 64, 66, 73, 75, 79, 84, 86, 92, 92, 94, 95…

here are the scores of 13 students on a geography test. 61, 63, 64, 66, 73, 75, 79, 84, 86, 92, 92, 94, 95 notice that the scores are ordered from least to greatest. give the five - number summary and the interquartile range for the data set. five - number summary minimum: lower quartile: median: upper quartile: maximum: interquartile range:

here are the scores of 13 students on a geography test. 61, 63, 64, 66, 73, 75, 79, 84, 86, 92, 92, 94, 95 notice that the scores are ordered from least to greatest. give the five - number summary and the interquartile range for the data set. five - number summary minimum: lower quartile: median: upper quartile: maximum: interquartile range:

Answer

Explanation:

Step1: Find the minimum

The smallest value in the data - set is 61.

Step2: Find the maximum

The largest value in the data - set is 95.

Step3: Find the median

There are (n = 13) data points. The median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{13+1}{2}=7) - th value. So the median is 79.

Step4: Find the lower half

The lower half of the data set consists of the first 6 values: 61, 63, 64, 66, 73, 75.

Step5: Find the lower quartile

There are 6 values in the lower half. The lower quartile (Q_1) is the median of the lower half. Since (n = 6) (even), (Q_1=\frac{64 + 66}{2}=65).

Step6: Find the upper half

The upper half of the data set consists of the last 6 values: 84, 86, 92, 92, 94, 95.

Step7: Find the upper quartile

There are 6 values in the upper half. Since (n = 6) (even), (Q_3=\frac{92+92}{2}=92).

Step8: Calculate the inter - quartile range

The inter - quartile range (IQR=Q_3 - Q_1). So (IQR = 92-65 = 27).

Answer:

Minimum: 61 Lower quartile: 65 Median: 79 Upper quartile: 92 Maximum: 95 Interquartile range: 27