The image you provided contains text in Gujarati, and it appears to include math-based problems. Let me analyze and transcribe the mathematical content for you.

The questions seem to involve summations, possibly related to statistics or probability. Here's a breakdown of some of the visible problems:

Problem 46:

• Given:

  • $\Sigma y = 270$,
  • $\Sigma y^2 = 734$,
  • $n = 4$,

  This is likely asking for the standard deviation or variance, since summations of values and squared values are provided.

Problem 45:

• Given dataThe image you provided contains text in Gujarati, and it appears to include math-based problems. Let me analyze and transcribe the mathematical content for you.

The questions seem to involve summations, possibly related to statistics or probability. Here's a breakdown of some of the visible problems:

Problem 46:

• Given:

  • $\Sigma y = 270$,
  • $\Sigma y^2 = 734$,
  • $n = 4$,

  This is likely asking for the standard deviation or variance, since summations of values and squared values are provided.

Problem 45:

• Given
  • $Y = 40.5, \text{ sample size (n)} = 5$,
  • The values of $Y_1, Y_2, Y_3$, etc., likely follow, and you may be required to find something such as the mean or some other measure of central tendency.

Would you like a detailed solution for any specific problem from this set, or need help with all of them? I can offer step-by-step guidance.

Also, here are 5 related questions to further your understanding:

1. How do you calculate the variance from $\Sigma y$ and $\Sigma y^2$?
2. What is the formula for the standard deviation given a sample?
3. How can you find the mean of a data set?
4. Why is summation notation ($\Sigma$) used frequently in statistics?
5. What is the difference between population and sample variance?

Tip: When given $\Sigma y$ and $\Sigma y^2$, you can quickly compute variance using the formula $\sigma^2 = \frac{\Sigma y^2}{n} - \left(\frac{\Sigma y}{n}\right)^2$.