Question

here are yesterdays high temperatures (in fahrenheit) in 14 u.s. cities. 55, 57, 58, 63, 66, 68, 70, 70, 71, 73, 80, 81, 82, 84 notice that the temperatures 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:

Explanation:

Step1: Find minimum

The smallest value is 55.

Step2: Find maximum

The largest value is 84.

Step3: Find median

There are 14 data - points. The median is the average of the 7th and 8th ordered values. $\frac{70 + 70}{2}=70$.

Step4: Find lower half

The lower half of the data is the first 7 values: 55, 57, 58, 63, 66, 68, 70. The median of the lower half (lower quartile, $Q_1$) is the 4th value, which is 63.

Step5: Find upper half

The upper half of the data is the last 7 values: 70, 71, 73, 80, 81, 82, 84. The median of the upper half (upper quartile, $Q_3$) is the 4th value of this half, which is 80.

Step6: Calculate inter - quartile range

Inter - quartile range (IQR)=$Q_3 - Q_1=80 - 63 = 17$.

Answer:

Minimum: 55
Lower quartile: 63
Median: 70
Upper quartile: 80
Maximum: 84
Interquartile range: 17