Question

tessa measured the lengths of 6 rugs in the home furnishings department. she measured: 41 inches, 48 inches, 48 inches, 44 inches, 33 inches, 33 inches. what was the mean length of the rugs, in inches? round your answer to the nearest whole number. inches

Explanation:

Step1: Sum all rug lengths

The lengths are 41, 48, 48, 44, 33, 33 inches.
Sum = \( 41 + 48 + 48 + 44 + 33 + 33 \)
\( = 41 + (48\times2) + 44 + (33\times2) \)
\( = 41 + 96 + 44 + 66 \)
\( = 41 + 96 = 137 \); \( 137 + 44 = 181 \); \( 181 + 66 = 247 \)? Wait, no, recalculate:
41 + 48 = 89; 89 + 48 = 137; 137 + 44 = 181; 181 + 33 = 214; 214 + 33 = 247? Wait, no, 6 rugs: 41, 48, 48, 44, 33, 33. Let's add again:
41 + 48 = 89; 89 + 48 = 137; 137 + 44 = 181; 181 + 33 = 214; 214 + 33 = 247. Wait, no, 41 + 48 + 48 + 44 + 33 + 33:
41 + 44 = 85; 48 + 48 = 96; 33 + 33 = 66; then 85 + 96 = 181; 181 + 66 = 247. Yes, sum is 247? Wait, no, 41 + 48 is 89, 89 + 48 is 137, 137 + 44 is 181, 181 + 33 is 214, 214 + 33 is 247. Correct.

Step2: Divide sum by number of rugs (6)

Mean = \( \frac{247}{6} \approx 41.166... \)

Step3: Round to nearest whole number

41.166... rounded to nearest whole number is 41.

Answer:

41