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Calculate the median percentage for male social media users.

Mathematics

ScanSolve AI Answer

Step-by-step solution

11 steps

3.1.1

  1. List the percentages for male social media users from the table.

    57%,51%,46%,56%,43%,54%57\%, 51\%, 46\%, 56\%, 43\%, 54\%
  2. Arrange the percentages in ascending order.

    43%,46%,51%,54%,56%,57%43\%, 46\%, 51\%, 54\%, 56\%, 57\%
  3. Calculate the median.

    Since there are 6 values (an even number), the median is the average of the two middle values (the 3rd and 4th values).

    Median=51%+54%2\text{Median} = \frac{51\% + 54\%}{2} Median=105%2\text{Median} = \frac{105\%}{2} Median=52.5%\text{Median} = 52.5\%

    The median percentage for male social media users is 52.5%\boxed{52.5\%}.

    3.1.2

  4. Identify platforms where female users were fewer than male users.

    This can be determined by comparing the percentages of male and female users for each platform. If the percentage of male users is higher than female users, then the number of female users is fewer than male users.

    • Facebook: Male 57%, Female 43% (Female < Male) - Yes
    • Instagram: Male 51%, Female 49% (Female < Male) - Yes
    • Snapchat: Male 46%, Female 54% (Female > Male) - No
    • X/Twitter: Male 56%, Female 44% (Female < Male) - Yes
    • TikTok: Male 43%, Female 57% (Female > Male) - No
    • YouTube: Male 54%, Female 46% (Female < Male) - Yes
  5. Count the number of platforms where female users were fewer than male users.

    There are 4 such platforms (Facebook, Instagram, X/Twitter, YouTube).

  6. Calculate the probability.

    Probability=Number of platforms where female users < male usersTotal number of platforms\text{Probability} = \frac{\text{Number of platforms where female users < male users}}{\text{Total number of platforms}} Probability=46\text{Probability} = \frac{4}{6} Probability=23\text{Probability} = \frac{2}{3} Probability≈0.667\text{Probability} \approx 0.667

    The probability is 0.667\boxed{0.667}.

    3.1.3 (a)

  7. Identify the given information for Snapchat from the table.

    Female users = 405 million
    Percentage of female users = 54%

  8. Calculate the total number of Snapchat users.

    Let TT be the total number of users.

    54% of T=405 million54\% \text{ of } T = 405 \text{ million} 0.54×T=4050.54 \times T = 405 T=4050.54T = \frac{405}{0.54} T=750 millionT = 750 \text{ million}

    The total number of Snapchat users is 750 million\boxed{750 \text{ million}}.

    3.1.3 (b)

  9. Determine the number of male Snapchat users.

    Total Snapchat users = 750 million (from 3.1.3 a)
    Female Snapchat users = 405 million

    Male Snapchat users=Total users−Female users\text{Male Snapchat users} = \text{Total users} - \text{Female users} Male Snapchat users=750 million−405 million\text{Male Snapchat users} = 750 \text{ million} - 405 \text{ million} Male Snapchat users=345 million\text{Male Snapchat users} = 345 \text{ million}
  10. Calculate the difference between the number of female and male Snapchat users.

    Difference=Female users−Male users\text{Difference} = \text{Female users} - \text{Male users} Difference=405 million−345 million\text{Difference} = 405 \text{ million} - 345 \text{ million} Difference=60 million\text{Difference} = 60 \text{ million}
  11. Compare the calculated difference with Fezeka's statement.

    Fezeka stated the difference was 61 300 000, which is 61.3 million.
    Our calculated difference is 60 million.
    Since 60 million≠61.3 million60 \text{ million} \neq 61.3 \text{ million}, Fezeka's statement is INVALID.

    The statement is INVALID\boxed{\text{INVALID}}.

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