Mean

The HDMI slots on digital cameras are designed to accommodate a card of up to $24 \mathrm{mm}$ in width. Due to low sales figures, a manufacturer suspects that the machine used to cut the cards needs to be recalibrated.  What percentage of the SD cards are too wide to fit into the slots if the widths, $w \mathrm{mm},$ of $400$ of these cards were measured and are coded in the following table, where $x=w-24.$

The memory card slots on digital cameras are designed to accommodate a card of up to $24 \mathrm{mm}$ in width. Due to low sales figures, a manufacturer suspects that the machine used to cut the cards needs to be recalibrated.  What percentage of the SD cards are too wide to fit into the slots if the widths, $w \mathrm{mm},$ of $400$ of these cards were measured and are coded in the following table, where $x=w-24.$

The five investors are repaid, each with their initial investment increased by $p\%$ plus a fixed 'thank you' bonus of $\$q.$ The woman who invested $\$20000$ is repaid double her investment and the man who invested $\$7500$ is repaid triple his investment. Find the total amount that the five people invested, given that the mean amount repaid to them was $\$33000.$

Do you think the method of repayment is fair? Give a reason for your answer.

Given that: $\Sigma z=4598$ and $\overline{z}=52.25,$ find the number of values in the set of data.

The mean of $15, 31, 47, 83, 97, 119$ and $p^2$ is $63.$ Find the positive value of $p.$

The numbers of goals, $x,$ scored by a team in each of its previous $25$ games are summarised by the totals $\Sigma (x-1{)}^2=30$ and $\Sigma (x-1)=12.$ Find the mean number of goals that the team scored per game.

For the set of data 

Find modal class, an approximation for the mean, an approximation for the median. 

Comment on the meaning of these values and state which one is most appropriate to use, giving a reason for your answer.

For the set of data 

Find modal class, an approximation for the mean, an approximation for the median. 

Comment on the meaning of these values and state which one is most appropriate to use, giving a reason for your answer.

For the set of data 

Find modal class, an approximation for the mean, an approximation for the median. 

Comment on the meaning of these values and state which one is most appropriate to use, giving a reason for your answer.

For the set of data, the monthly amounts of pocket money in euros, for $21$ grade $6$ students:

$\begin{array}{l}10,10,10,15,15,15,15,20,25,25,30,30,35,35,35,40,0,50,50,80,100\end{array}$

Find the mean, median, mode. State which of these measures is most appropriate to use, giving a reason for your answer.

For the set of data the times in minutes, to run $1500 \mathrm{metres}$,

Find the mean, median and mode. State which of these measures is most appropriate to use in each case, giving a reason for your answer.

Calculate the arithmetic mean of the following frequency distribution:

If the arithmetic mean of $5, 7, 9, x$ is $10$, then the value of $x$ is :

The weights (in kg) of $8$ new born babies are $3, 3.2, 3.4, 3.5, 4, 3.6, 4.1, 3.2.$ Find the mean weight of the babies.(Answer without units and up to one decimal value)

Find the value of $p,$ if the mean of the following distribution is $18:$

Find the mean of the following distribution

The mean of the following distribution is $57.6$ and the sum of all the observations is $50.$ Find the missing frequencies $f_1$, $f_2$

The number of telephone calls received daily by a police station during a fortnight  were $\begin{array}{lllllllllllllll}3& 0& 1& 2& 3& 5& 4& 3& 2& 3& 2& 3& 1& 1& 4\end{array}$. Prepare simple frequency distribution table and then calculate the mean.(Answer up to two decimal values)

The marks, out of $50,$ of $50$ students in an exam were $20,29,35,39,34,33,42,50,29,26,32,30,28,43,30.$ Find the mean?

Find the mean of first $50$ natural numbers.