If the mean, median and mode of a data set are $1$, $3^x$ and $9^x$ respectively, the possible values of the mode are

✅ Correct Answer: 1, 4

Explanation

Using the relation $3 \times median = mode + 2 \times mean$ $3 \times 3^x = 9^x + 2$ $9^x - 3 \times 3^x + 2 = 0$ $3^x=1$ or $3^x=2$ So $9^x=1$ or $4$

🎯 Happy Preparation — ACME Academy

ACMEACME Score Analyser
If the mean, median and mode of a data set are $1$, $3^x$ and $9^x$ respectively, the possible values of the mode are | ACME Academy