Question

multiple choice
temperatures in mt. pocono (°f)
the stem - and - leaf plot shows the temperatures in mount pocono, pa during the first 12 days of march.
which statement is true about this data set?
key
3|8 = 38
press to hear a reminder or hint for this problem.
because there are 12 data values, the median is the average of the sixth and seventh data values.
a the data set of temperatures has more than one mode.
b the data set of temperatures has a mean that is equal to the median.
c the data set of temperatures has at least one outlier.

Explanation:

Step1: Extract data values

From stem-and-leaf: 38,38,46,46,47,49,53,54,58,58,58,67

Step2: Check mode

Mode = most frequent value: 58 (3 times). Only one mode.

Step3: Calculate mean

Sum = 38+38+46+46+47+49+53+54+58+58+58+67 = 612
Mean = 612/12 = 51

Step4: Find median

12 values: average of 6th &7th: (49+53)/2 = 51

Step5: Check outlier

IQR method: Q1=46, Q3=58, IQR=12. No value <46-1.512=28 or >58+1.512=76. No outliers.

Answer:

B. The data set of temperatures has a mean that is equal to the median.