Question

what are the mean and mode of the data set?
37 29 36 39 43 32 29
a. mean: 39, mode: 29
b. mean: 35, mode: 43
c. mean: 35, mode: 29
d. mean: 39, mode: 43
please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Calculate the mean

First, find the sum of the data set. The data points are 37, 29, 36, 39, 43, 32, 29.
Sum = \( 37 + 29 + 36 + 39 + 43 + 32 + 29 \)
\( = (37 + 29) + (36 + 39) + (43 + 32) + 29 \)
\( = 66 + 75 + 75 + 29 \)
\( = 66 + 75 = 141; 141 + 75 = 216; 216 + 29 = 245 \)
There are 7 data points. Mean = \( \frac{245}{7} = 35 \)

Step2: Determine the mode

The mode is the number that appears most frequently.

• 37 appears once.
• 29 appears twice.
• 36 appears once.
• 39 appears once.
• 43 appears once.
• 32 appears once.

So, the mode is 29.

Answer:

C. mean: 35, mode: 29