Statistics

What is the median of $100, 105, 110$?

Find the mean of $15, 25, 35$.

Calculate the range of the set $12, 19, 14, 11, 17$.

Find the mode of $6, 7, 6, 8, 6, 9$.

A set has $5$ numbers: $2, 3, 5, 8, 12$. If each number is increased by $10\%$, what is the percentage increase in the mean?

Which of the following data sets has a mean of $10$ and a median of $11$?

If the range of the set $\{3, 8, 4, 10, x\}$ is $12$, and $x > 10$, find $x$.

A set of four positive integers has a mean of $5$, a median of $4.5$, and a mode of $3$. What is the largest number in the set?

The mean of $3, 7, 8, 10,$ and $x$ is equal to the median of the same set. If the set is ordered such that $x$ is not the median, and $x$ is an integer, find the sum of all possible values of $x$.

The mean of $11$ numbers is $11$. If one number, $11$, is removed, what is the mean of the remaining $10$ numbers?

A bar chart shows the number of cars of different colors. If the frequency of 'Red' cars is $12$ and the bar height is $6$ cm, what is the scale in cars per cm?

In a pie chart, a sector representing $25\%$ of the data has an angle of:

The following bar chart shows sales per day. On which day were the sales highest?

A pie chart has three sectors: $A$ ($180^{\circ}$), $B$ ($120^{\circ}$), and $C$. What is the angle of sector $C$?

A bar chart shows the monthly rainfall. If the average rainfall for 4 months was $10$ cm, and the first three months were $8$ cm, $12$ cm, and $7$ cm, what was the rainfall in the fourth month?

A pie chart has a sector representing 15 items with an angle of $45^{\circ}$. How many items in total does the whole pie chart represent?

In a histogram, the class $10 < x \le 20$ has a frequency density of $2.4$. The class $20 < x \le 40$ has a frequency density of $1.2$. What is the ratio of the frequency of the first class to the frequency of the second class?

In a pie chart showing energy sources, 'Solar' accounts for $15\%$, 'Wind' for $25\%$, and 'Hydro' for $120^\circ$. The remainder is 'Fossil Fuels'. What is the angle of the 'Fossil Fuels' sector?

A histogram represents weights of luggage. The class $0 < w \le 10$ has a frequency of 15 and a bar height of 3 units. The class $10 < w \le 25$ has a bar height of 4 units. Calculate the frequency of the $10 < w \le 25$ class.

A pie chart has 4 sectors: A, B, C, and D. Sector A is $90^\circ$. Sector B is $2x^\circ$, Sector C is $3x^\circ$, and Sector D is $4x^\circ$. What is the angle of the largest sector?

Look at the box plot. How many percent of the data lies between the lower quartile and the upper quartile?

In a cumulative frequency graph, what type of curve is typically formed?

The diagram shows a box plot. What is the value of the lower quartile ($Q_1$)?

If the total frequency is $N$, which formula is used to find the position of the upper quartile in a cumulative frequency curve for large data sets?

A box plot shows a median of 50. If the data is positively skewed, which is most likely true?

Based on the cumulative frequency curve, what is the value of the 60th percentile? (Total frequency $N=100$)

For a data set of 120 people, the cumulative frequency graph shows the median is at 165 cm. If the lower quartile is 155 cm and the upper quartile is 175 cm, which box plot correctly matches this?

Using the cumulative frequency curve provided for 100 students, determine the value of the interquartile range if the 25th frequency value corresponds to 40 marks and the 75th frequency value corresponds to 72 marks.

The graph shows the cumulative frequency for the weights of 60 parcels. Find the number of parcels that weigh more than 12 kg if the cumulative frequency at 12 kg is 48.

For a distribution of 60 items, the box plot shows $Q_1 = 15$, Median $= 22$, and $Q_3 = 30$. Any value greater than $Q_3 + 1.5 \times IQR$ is an outlier. What is the smallest integer value that would be considered an outlier in this set?

Which correlation type indicates that as the independent variable increases, the dependent variable decreases?

Which correlation type indicates that as the independent variable increases, the dependent variable also increases?

When using a line of best fit to predict a value, what should you do on the graph?

In a scatter plot, the $y$-variable is also known as the:

Which of the following is a characteristic of a 'line of best fit'?

A line of best fit has a gradient of $-3$ and passes through the point $(4, 10)$. What is its equation?

What happens to the correlation coefficient if you swap the $x$ and $y$ variables on a scatter diagram?

Given a set of points with a perfectly linear negative correlation, if the mean point is $(5, 5)$ and the point $(0, 10)$ is in the set, what is the $y$-value when $x = 10$?

If the line of best fit is $y = 0.5x + 10$ and the residuals for the points $(2, 12)$ and $(6, k)$ sum to zero, what is the value of $k$ (assuming these are the only two points)?

A line of best fit is $y = -4x + 200$. If the $x$-variable represents 'number of absences' and $y$ represents 'final grade', how much does the grade drop for every 2 absences?

The diameter of a circle is which type of data?

Data like 'Large', 'Medium', and 'Small' is categorized as:

The number of sides on a polygon is:

A person's weight measured to the nearest gram is:

For the class $250 \le x < 500$, the class width is:

In a data set of city populations, what type of data is 'population'?

If you measure the heights of students in centimeters, why is this considered continuous even if recorded as integers?

A survey records the 'Star Rating' (1 to 5 stars) given by customers for a hotel. Classify this data.

If data is grouped into intervals $1-10, 11-20, 21-30$, what is the upper boundary of the first interval?

Which of the following is NOT a type of random sampling?

1. Interpreting Statistical Data: practice question 1 for Statistics?

1. Interpreting Statistical Data: practice question 2 for Statistics?

1. Interpreting Statistical Data: practice question 3 for Statistics?

1. Interpreting Statistical Data: practice question 4 for Statistics?

1. Interpreting Statistical Data: practice question 5 for Statistics?

1. Interpreting Statistical Data: practice question 6 for Statistics?

1. Interpreting Statistical Data: practice question 7 for Statistics?

1. Interpreting Statistical Data: practice question 8 for Statistics?

1. Interpreting Statistical Data: practice question 9 for Statistics?

1. Interpreting Statistical Data: practice question 10 for Statistics?

1. Averages and Measures of Spread: practice question 1 for Statistics?

1. Averages and Measures of Spread: practice question 2 for Statistics?

1. Averages and Measures of Spread: practice question 3 for Statistics?

1. Averages and Measures of Spread: practice question 4 for Statistics?

1. Averages and Measures of Spread: practice question 5 for Statistics?

1. Averages and Measures of Spread: practice question 6 for Statistics?

1. Averages and Measures of Spread: practice question 7 for Statistics?

1. Averages and Measures of Spread: practice question 8 for Statistics?

1. Averages and Measures of Spread: practice question 9 for Statistics?

1. Averages and Measures of Spread: practice question 10 for Statistics?