Question

temperatures in pittsburgh (°f)
7 | 2 6 9 9
8 | 3 5 5 5 6
9 | 1 2 5
key
7|6 = 76
the temperatures in pittsburgh, pa for the first 12 days of july are shown in the stem - and - leaf plot.
find the mean, median, mode, range, and interquartile range (iqr) of these temperatures.

• press each hotspot.
• label the corresponding number below with the requested value.

press to hear a reminder or hint for this problem.
each \leaf\ of the plot represents one data value.
mean: ①
median: ②
mode: ③
range: ④
iqr: ⑤

Explanation:

Step1: Extract data values

From stem-and-leaf plot: 72,76,79,79,83,85,85,85,86,91,92,95 (12 values)

Step2: Calculate mean

Sum = 72+76+79+79+83+85+85+85+86+91+92+95 = 1008
Mean = $\frac{1008}{12}$ = 84

Step3: Find median

Sorted data: positions 6&7 are 85&85
Median = $\frac{85+85}{2}$ = 85

Step4: Identify mode

Most frequent value: 85 (appears 3 times)

Step5: Compute range

Range = Max - Min = 95 - 72 = 23

Step6: Calculate IQR

Q1 (25th percentile, position 3): 79
Q3 (75th percentile, position 9): 86
IQR = Q3 - Q1 = 86 - 79 =7

Answer:

Mean: 84
Median: 85
Mode: 85
Range:23
IQR:7